A General-Purpose Hierarchical Mesh Partitioning Method with Node Balancing Strategies for Large-Scale Numerical Simulations, Fande Kong, Roy H. Stogner, Derek R. Gaston, John W. Peterson, Cody J. Permann, Andrew E. Slaughter, and Richard C. Martineau, 2018 IEEE/ACM 9th Workshop on Latest Advances in Scalable Algorithms for Large-Scale Systems (scalA), 65-72, 2018. BibTeX

Hierarchical parallelisation for the solution of stochastic finite element equations, A. Keese and H. G. Matthies, Computers and Structures, 83, 1033--1047, 2005. BibTeX

Numerical Modeling of NAPL Source Zone Treatment, Hammond, G.E., A.J. Valocchi and P.C. Lichtner, Poster at American Geophysical Union Fall 2002 Meeting, San Francisco, CA., 2002. BibTeX

Innovative Methods for Solving Multicomponent Biogeochemical Groundwater Transport on Supercomputers, Glenn E. Hammond, 2003. BibTeX

Parallel Least-Squares Finite Element Method for Large Eddy Simulation of Large Scale Environmental Flows and Transport Processes, EPA funded work to simulate turbulent dispersion of toxic chemicals around buildings and in Green Bay. Used PETSc for its linear solvers, 1999. BibTeX

Modeling Multicomponent Reactive Transport on Parallel Computers Using Jacobian-Free Newton Krylov with Operator-Split Preconditioners, Glenn E. Hammond, Albert J. Valocchi, and Peter C. Lichtner, Proceedings of the XIV International Conference on Computational Methods in Water Resources, Delft, The Netherlands., 2002. BibTeX

Software for modeling multicomponent, multidimensional reactive transport, C. I. Steefel, Lawrence Livermore National Laboratory, UCRL-MA-143182, 2001. BibTeX

A coupled model for transport of multiple chemical-species and kinetic precipitation dissolution reactions with application to reactive flow in single-phase hydrothermal systems, C. I. Steefel and A. C. Lasaga, Americal Journal of Science, 294, 5, 529-592, 1994. BibTeX

OS3D/GIMRT, Software for Multicomponent-Multidimensional reactive transport: User's manual and programmer's guide, C. I. Steefel and S. B. Yabusaki, Pacific Northwest National Laboratory, PNNL-11166, 1996. BibTeX

Application of Jacobian-free Newton-Krylov with physics-based preconditioning to biogeochemical transport, G. E. Hammond, A.J. Valocchi, and P.C. Lichtner, Advances in Water Resources, 28, 359--376, 2005. BibTeX

A Markov random field model of contamination source identification in porous media flow, J Wang and N Zabaras, Int. J. Heat and Mass Transfer, 2005. BibTeX

Lecture Notes in Computer Science, Jong G. Kim and Hyoung W. Park, 2004. BibTeX

Parallel Implementation of Finite Element Groundwater Flow Model, Kim, J. G. and Kim, J., AGU Spring Meeting Abstracts, 32-+, 2001. BibTeX

CASE STUDY: A MODEL TO SIMULATE REGIONAL FLOW IN SOUTH FLORIDA, A. M. Wasantha Lal, Randy Van Zee, and Mark Belnap, Journal of Hydraulic Engineering, 131, 4, 247--258, 2005. BibTeX

A parallel RMA2 model for simulating large-scale free surface flows, Prasada Rao, Environmental Modelling and Software, 47--53, 2005. BibTeX

An Efficient Scalable Finite Element Model for Simulating Large Scale Hydrodynamic Flows, Prasada Rao, Proceedings of the American Society of Civil Engineers 16th Engineering Mechanics Conference, 2003. BibTeX

Modeling Thermal-Hydrological-Chemical (THC) Coupled Processes with Applications to Underground Nuclear Tests at the Nevada Test Site; A Grand Challenge Supercomputing Problem, Peter C. Lichtner and Andrew Wolfsberg, MPU Workshop: Conceptual Model Development for Subsurface Reactive Transport Modeling of Inorganic Contaminants, Radionuclides and Nutrients, Also Los Alamos National Laboratory report: LA-UR-04-1826, 2004. BibTeX

Parallel Compositional Reservior Simulation on Clusters of PCs, Jason Abate, Peng Wang, and Kamy Sepehrnoori, Int. J. High Performance Computing Applications, 15, 1, 13--21, 2001. BibTeX

Preconditioned Newton Methods for Simulation of Reservoirs with Surface Facilities, Thomas James Byer, 2000. BibTeX

Experience with Parallel Computing for Reservoir and Geomechanics Simulation on a Win32 Cluster, Peter J. Puchyr, Proceedings of the Canadian International Petroleum Conference, Paper number CIPC2006-207, 2006. BibTeX

A Fully Implicit Parallel EOS Compositional Simulator for Large Scale Reservoir Simulation, P. Wang, S. Balay, K. Seperhrnoori, J. Wheeler, J. Abate, B. Smith, and G. A. Pope, Proceedings of the 1999 Society of Petroleum Engineers 15th Reservoir Simulation Symposium, also available as Argonne preprint ANL/MCS-P743-1298, 1998. BibTeX

A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations, Patrick E Farrell, Lawrence Mitchell, L Ridgway Scott, and Florian Wechsung, The SMAI journal of computational mathematics, 7, 75--96, 2021. BibTeX

Monolithic Multigrid Methods for Magnetohydrodynamics, James H Adler, Thomas R Benson, Eric C Cyr, Patrick E Farrell, Scott P MacLachlan, and Ray S Tuminaro, SIAM Journal on Scientific Computing, 0, S70--S91, 2021. BibTeX

Mixed Kirchhoff stress–displacement–pressure formulations for incompressible hyperelasticity, Patrick E. Farrell, Luis F. Gatica, Bishnu P. Lamichhane, Ricardo Oyarúa, and Ricardo Ruiz-Baier, Computer Methods in Applied Mechanics and Engineering, 374, 113562, 2021. BibTeX

An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier-Stokes equations at high Reynolds number, Patrick E Farrell, Lawrence Mitchell, and Florian Wechsung, SIAM Journal on Scientific Computing, 41, 5, A3073-A3096, 2019. BibTeX

Block-preconditioners for the incompressible Navier--Stokes equations discretized by a finite volume method, Xin He, Cornelis Vuik, and Christiaan Klaij, Journal of Numerical Mathematics, 25, 2, 89--105, 2017. BibTeX

Newton--Krylov methods in applications of two-phase flow problems with phase appearance/disappearance, Zou, L, Zhao, H, and Zhang, H, ANS 2015 Annual Meeting, June, 2015. BibTeX

Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method, Guermond, J-L, Laguerre, Raphael, Léorat, Jacques, and Nore, Caroline, Journal of computational physics, 228, 8, 2739--2757, 2009. BibTeX

The numerical simulation of the wing kinematics effects on near wake topology and aerodynamic performance in hovering Drosophila flight, Belkis Erzincanli and Mehmet Sahin, Computers & Fluids, 122, 90--110, 2015. BibTeX

A parallel monolithic algorithm for the numerical simulation of large-scale fluid structure interaction problems, Ali Eken and Mehmet Sahin, International Journal for Numerical Methods in Fluids, 2015. BibTeX

A parallel adaptive nonlinear elimination preconditioned inexact Newton method for transonic full potential equation, Feng-Nan Hwang, Yi-Cheng Su, and Xiao-Chuan Cai, Computers & Fluids, 110, 30, 96--107, 2015. BibTeX

Nonlinear Preconditioning Techniques for Full-Space Lagrange--Newton Solution of PDE-Constrained Optimization Problems, Haijian Yang, Feng-Nan Hwang, and Xiao-Chuan Cai, SIAM Journal on Scientific Computing, 38, 5, A2756--A2778, 2016. BibTeX

Direct numerical simulation of saturated deformable porous media using parallel hybrid Lattice-Boltzmann and finite element method, Irfan Khan and Cyrus K. Aidun, Int. J. Numer. Meth. Eng., 86, 1379--1395, 2011. BibTeX

Modeling the deformation of saturate porous media using direct numerical simulation, Irfan Khan and Cyrus K. Aidun, Int. J. Multiphase Flow, 2014. BibTeX

Simulations of Zigzag Maneuvers for a Container Ship with Direct Moving Rudder and Propeller, A. Mofidi and P. M. Carrica, Computers and Fluids, 191--203, 2014. BibTeX

Fluid-Structure Interaction for an Elastic Structure Interacting with Free Surface in a Rolling Tank, K. Paik and P. M. Carrica, Ocean Engineering, 201--212, 2014. BibTeX

Bubble size distribution prediction for large-scale ship flows: Model evaluation and numerical issues, A. M. Castro and P. M. Carrica, International Journal of Multiphase Flow 57, 131--150, 2013. BibTeX

Turn and Zigzag Maneuvers of a Surface Combatant Using a URANS Approach with Dynamic Overset Grids, P. M. Carrica, F. Ismail, M. Hyman, S. Bhushan, and F. Stern, Journal of Marine Science and Technology, 166--181, 2013. BibTeX

Eulerian polydispersed modeling of bubbly flows around ships with application to Athena R/V,, A. M. Castro and P. M. Carrica, International Shipbuilding Progress, 403--433, 2013. BibTeX

Overset simulations of a Submarine in Towed, Self-Propelled and Maneuvering Conditions, N. Chase, T. Michael, and P. M. Carrica, International Shipbuilding Progress, 171--205, 2013. BibTeX

CFD Simulation and Validation of Added Resistance of KVLCC2 with Fixed and Free Surge Conditions in Short and Long Head Waves, H. Sadat-Hosseini, P. -C. Wu, P. M. Carrica, H. Kim, Y. Toda, and F. Stern, Ocean Engineering, 59, 240--273, 2013. BibTeX

CFD Simulations of a Submarine Propeller and Application to Self-Propulsion of a Submarine, N. Chase and P. M. Carrica, Ocean Engineering, 68--80, 2013. BibTeX

CFD Analysis of Broaching for a Model Surface Combatant with Explicit Simulation of Moving Rudders and Rotating Propellers, P. M. Carrica, H. Sadat-Hosseini, and F. Stern, Computers and Fluids 53, 117--132, 2012. BibTeX

URANS Simulations of Static and Dynamic Maneuvering for Surface Combatant-Part 1: Verification and Validation for Forces, Moment, and Hydrodynamic Derivatives, N. Sakamoto, P. M. Carrica, and F. Stern, 422--445, 2012. BibTeX

URANS Simulations of Static and Dynamic Maneuvering for Surface Combatant-Part 2: Analysis and Validation of Local Flow Characteristics, N. Sakamoto, P. M. Carrica, and F. Stern, Journal of Marine Science and Technology, 446--468, 2012. BibTeX

Dynamic Overset CFD Simulations of Wind Turbine Aerodynamics, Y. Li, T. Xing, K. Paik, and P. M. Carrica, Renewable Energy, 285--298, 2012. BibTeX

A Method to Compute Ship Exhaust Plumes with Waves and Wind, J. Huang, P. M. Carrica, and F. Stern, International Journal for Numerical Methods in Fluids, 160--180, 2012. BibTeX

A geometry-based level set method for curvilinear overset grids with application to ship hydrodynamics, J. Huang, P. M. Carrica, and F. Stern, International Journal for Numerical Methods in Fluids, 494--521, 2012. BibTeX

Computations of self-propulsion free to sink and trim and of motions in head waves of the KRISO Container Ship (KCS) model, P. M. Carrica, H. Fu, and F. Stern, Applied Ocean Research, 309--320, 2011. BibTeX

Scalability and Validation Study for Large Scale Surface Combatant Computations Using CFDShip-Iowa, S. Bhushan, P. M. Carrica, J. Yang, and F. Stern, International Journal of High Performance Computing Applications, 466--487, 2011. BibTeX

Full scale self-propulsion computations using discretized propeller for the KRISO container ship KCS, A. M. Castro, P. M. Carrica, and F. Stern, Computers and Fluids, 35--47, 2011. BibTeX

Multi-fidelity Optimization of a High-speed Foil-assisted Semi-planing Catamaran for Low Wake, M. Kandasamy, S. K. Ooi, P. M. Carrica, F. Stern, E. F. Campana, D. Peri, P. Osborne, J. Cote, N. Macdonald, and N. de Waal, Journal of Marine Science and Technology, 143--156, 2011. BibTeX

CFD Validation Studies for a High-speed Foil-assisted Semi-planing Catamaran, M. Kandasamy, S. K. Ooi, P. M. Carrica, F. Stern, E. F. Campana, D. Peri, P. Osborne, J. Cote, N. Macdonald, and N. de Waal, Journal of Marine Science and Technology, 157--167, 2011. BibTeX

CFD System-Based and EFD Study of Ship Dynamic Instability Events: Surf Riding, Periodic Motion and Broaching, H. Sadat-Hosseini, P. M. Carrica, F. Stern, N. Umeda, H. Hashimoto, S. Yamamura, and A. Mastuda, Ocean Engineering, 88--110, 2011. BibTeX

Development and Validation of Harmonic Wave Group Single-Run Procedure for RAO with Comparison to Regular Wave and Transient Wave Group Procedures Using URANS, M. Mosaviraad, P. M. Carrica, and F. Stern, Ocean Engineering, 653--666, 2010. BibTeX

Large-Scale DES Computations of the Forward Speed Diffraction and Pitch and Heave Problems for a Surface Combatant, P. M. Carrica, J. Huang, R. Noack, D. Kaushik, B. Smith, and F. Stern, Computers and Fluids, 1095--1111, 2010. BibTeX

Self-Propulsion Computations Using Speed Controller and Discretized Propeller with Dynamic Overset Grids, P. M. Carrica, A. M. Castro, and F. Stern, Journal of Marine Science and Technology, 316--330, 2010. BibTeX

Evaluation of Linear and Non-Linear Convection Schemes on Multidimensional Non-Orthogonal Grids with Applications to KVLCC2 Tanker, F. Ismail, P. M. Carrica, T. Xing, and F. Stern, International Journal of Numerical Methods in Fluids, 850--886, 2010. BibTeX

Integral Force/Moment Waterjet Model for CFD Simulations, M. Kandasamy, S. K. Ooi, P. M. Carrica, and F. Stern, Journal of Fluids Engineering, 101103, 2010. BibTeX

Modeling hypersonic entry with the fully-implicit Navier--Stokes (FIN-S) stabilized finite element flow solver, Kirk, Benjamin S, Stogner, Roy H, Bauman, Paul T, and Oliver, Todd A, Computers & Fluids, 92, 0, 281--292, 2014. BibTeX

Computational simulations of 3D large-scale time-dependent viscoelastic flows in high performance computing environment, L. Carracciuolo, D. Casaburi, L. D’Amore, G. D’Avino, P.L. Maffettone, and A. Murli, Journal of Non-Newtonian Fluid Mechanics , 166, 23--24, 1382--1395, 2011. BibTeX

Towards multi-phase flow simulations in the PDE framework Peano, Bungartz, Hans-Joachim, Gatzhammer, Bernhard, Lieb, Michael, Mehl, Miriam, and Neckel, Tobias, Computational Mechanics, 48, 3, 365-376, 2011. BibTeX

{On CFL Evolution Strategies for Implicit Upwind Methods in Linearized Euler Equations}, H. M. Bücker, B. Pollul, and A. Rasch, International Journal for Numerical Methods in Fluids, 59, 1, 1--18, 2009. BibTeX

Parallel unstructured three-dimensional turbulent flow analyses using efficiently preconditioned newton-krylov solver, Bonfiglioli, A, Campobasso, M S, and Carpentieri, B, 2010. BibTeX

RANS simulations of a junction flow, Paciorri, Renato, Bonfiglioli, Aldo, Di Mascio, Andrea, and Favini, Bernardo, International Journal of Computational Fluid Dynamics, 19, 2, 179-189, 2005. BibTeX

Bonfiglioli, A., Carpentieri, B., and Sosonkina, M., Performance Analysis of Parallel Algebraic Preconditioners for Solving the RANS Equations Using Fluctuation Splitting Schemes, Springer Berlin Heidelberg, 2008, Numerical Mathematics and Advanced Applications. BibTeX

Bonfiglioli, Aldo, Carpentieri, Bruno, and Sosonkina, Masha, EulFS: A Parallel CFD Code for the Simulation of Euler and Navier-Stokes Problems on Unstructured Grids, Springer Berlin / Heidelberg, 2007, Applied Parallel Computing. State of the Art in Scientific Computing. BibTeX

Automated FEM Discretizations for the Stokes Equation, Andy R. Terrel, L. Ridgway Scott, Matthew G. Knepley, and Robert C. Kirby, BIT, 48, 2, 2008. BibTeX

A methodology for the development of discrete adjoint solvers using automatic differentiation tools, A. C. Marta, C. A. Mader, J. R. R. A. Martins, E. Van der Weide, and J. J. Alonso, Computational Fluid Dyanmics, 21, 307--327, 2007. BibTeX

Variational Space-time (Dis)continuous Galerkin Method for Linear Free Surface Waves, V.R. Ambati, J.J.W. van der Vegt, and O. Bokhove, University of Twente, the Netherlands, 2008. BibTeX

Towards Numerical Simulation of Flapping Foils on Fixed Cartesian Grids, M. Bozkurttas, H. Dong, V. Seshadri, and R. Mittal, 43rd AIAA Aerospace Sciences Meeting and Exhibit, 2005. BibTeX

A MULTILEVEL FINITE VOLUME METHOD WITH MULTISCALE-BASED GRID ADAPTATION FOR STEADY COMPRESSIBLE FLOWS, S. Muller and Y. Stiriba, European Conference on Computational Fluid Dynamics: ECCOMAS CFD 2006, 2006. BibTeX

Parallel three-dimensional simulation of the injection molding process, B. J. Araújo, J. C. F. Teixeira, A. M. Cunha, and C. P. T. Groth, International Journal for Numerical Methods in Fluids, 2008. BibTeX

a parallel coupled algorithm for collocated grids and its application to Large Eddy Simulation of a turbulent wake, A. Cubero, 2008. BibTeX

A Compact Momentum Interpolation Method for unsteady flows and relaxation, A. Cubero and N. Fueyo, Numerical Heat Transfer, part B-Fundamentals, 56, 6, 507--529, 2007. BibTeX

Preconditioning based on a partially implicit implementation of Momentum Interpolation for coupled solvers, A. Cubero and N. Fueyo, Fluid Mechanics Group of the University of Zaragoza (Spain), 2007. BibTeX

Richard Dwight, Robust Mesh Deformation using the Linear Elasticity Equations, Springer, 2006, Computational Fluid Dynamics 2006. BibTeX

Effect of Various Approximations of the Discrete Adjoint on Gradient-Based Optimization, Richard Dwight and Joel Brezillon, Proceedings of the 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno NV. AIAA-2006-0690, 2006. BibTeX

Efficiency Improvements of RANS-Based Analysis and Optimization using Implicit and Adjoint Methods on Unstructured Grids, Richard Dwight, 2006. BibTeX

An adaptive Lagrange-Galerkin shallow-water model on the sphere, M. Lauter, D. Handorf, K. Dethloff, S. Frickenhaus, N. Rakowsky, and W. Hiller, Workshop Proceedings Current Development in Shallow Water Models on the Sphere March, 10-14, 2003, Munich University of Technology, German, 2003. BibTeX

The Embedded Boundary Integral Method (EBI) for the Incompressible Navier-Stokes equations, George Biros, Lexing Ying, and Denis Zorin, IABEM 2002, International Association for Boundary Element Methods, UT Austin, 2002. BibTeX

Benchmarking of a 3D, unstructured, finite volume code for incompressible Navier-Stokes equation on a cluster of distributed-memory computers, S.A. Mohsen Karimian and Anthony G. Straatman, Proceedings of the 19th International Symposium on High Performance Computing Systems and Applications, 11--16, 2005. BibTeX

Multidimensional Residual Distribution Schemes for the Pseudo-Compressible Euler and Navier-Stokes equations on Unstructured Meshes, A. Bonglioli, Universita della Basilicata via della Tecnica 3, 1996. BibTeX

A new fully coupled method for computing turbulent flows, G. B. Deng, J. Piquet, X. Vasseur, and M. Visonneau", Computers and Fluids, 30, 445--472, 2001. BibTeX

Multilevel Preconditioning for Parallel CFD, Matthew G. Knepley, Vivek Sarin, and Ahmed H. Sameh, International Conference On Preconditioning Techniques For Large Sparse Matrix Problems In Industrial Applications, 1999. BibTeX

Fast Elliptic Solver for Incompressible Navier Stokes Flow and Heat Transfer Problems on the Grid, M. Garbey, B. Hadri, and W. Shyy., Aerospace Sciences Meeting and Exhibit, Paper No. 2005-1386, 2005. BibTeX

An unsteady single-phase level set method for viscous free surface flows, Carrica, PM, Wilson, RV, and Stern, F., International Journal for Numerical Methods in Fluids, 53, 2, 229--256, 2007. BibTeX

A Multidimensional Two-Phase Flow Model for the Total Dissolved Gas Downstream of Spillways, M. S. Politano, P. M. Carrica, C. Turan, and L. Weber, Journal of Hydraulic Research, accepted for publication, 2004. BibTeX

Unsteady RANS Method for Ship Motions with Application to Roll for a Surface Combatant, R. V. Wilson, P. M. Carrica, and F. Stern, Computers and Fluids, in press, 2004. BibTeX

Unsteady RANS Simulation of the Ship Forward Speed Diffraction Problem, P. M. Carrica, R. V. Wilson, and F. Stern, Computers and Fluids, accepted for publication, 2005. BibTeX

Large-Scale DES Computations of the Forward Speed Diffraction and Pitch and Heave Problems for a Surface Combatant, P. M. Carrica, J. Huang, R. Noack, D. Kaushik, B. Smith, and F. Stern, Computers and Fluids, 39, 7, 1095--1111, 2010. BibTeX

Toward Large-Scale Computations of Ship Motions with Dynamic Overset Curvilinear Grids, P. M. Carrica, J. Huang, R. Noack, D. Kaushik, B. Smith, and F. Stern, Proceedings of the 27th Symposium on Naval Hydrodynamics, Seoul, Korea, 2008. BibTeX

Application of Algebraic Multigrid Methods to the Solution of Stratified Flows About Submerged Bodies, M. T. Jozkowski, 2005. BibTeX

Detached-Eddy Simulation of High Reynolds Number Beveled-Trailing-Edge Flows and Wakes, E. G. Paterson and L. J. Peltier, ASME Journal of Fluids Engineering, In press, 2005. BibTeX

Computational Study of the Wake and Contaminant Transport of a Walking Human, B. A. Edge, E. G. Paterson, and G. Settles, ASME Journal of Fluids Engineering, In press, 2005. BibTeX

Computation of Maneuvering Coefficients for Non-Body-of-Revolution Submarines Using Unsteady RANS CFD, B. Racine and E. G. Paterson, 35th AIAA Fluid Dynamics Conference and Exhibit, 2005. BibTeX

Prediction of Forces and Moments on a Sonobuoy Configuration Using Overset Grids and DES, B. A. Edge, M. F. Trujillo, E. G. Paterson, and L. J. Peltier, 7th Overset Composite Grid and Solution Technology Symposium, 2004. BibTeX

Localized turbulence simulation for naval hydrodynamics: issues in using overset refinement grids and detached-eddy simulation, E. G. Paterson and L. J. Peltier, 7th Overset Composite Grid and Solution Technology Symposium, 2004. BibTeX

Experimental and Computational Study of Cavitation Inception on Co-Flow Nozzles, R. Meyer, F. J. Zajackowski, and W. A. Straka,and E. G. Paterson, 25th Symposium on Naval Hydrodynamics, 2004. BibTeX

A Physics-Based Simulation Methodology for Predicting Trailing-Edge Singing, E. G. Paterson, J. E. Poremba, L. J. Peltier, and S. A. Hambric, 25th Symposium on Naval Hydrodynamics, 2004. BibTeX

Detached-Eddy Simulation of High Reynolds Number Trailing-Edge Flows and Wakes, E. G. Paterson and L. J. Peltier, Symposium on LES Advancements and Applications, ASME FED Summer Meeting, 2004. BibTeX

Simulation of Steady Circulation Control for the General Aviation Circulation Control Wing, W. J. Baker, E. G., and Paterson, NASA/ONR Workshop on Circulation Control, 2004. BibTeX

RANS and Detached-Eddy Simulation of the NCCR airfoil, E. G. Paterson and W. J. Baker, NASA/ONR Workshop on Circulation Control, 2004. BibTeX

Simulation of Steady and Pulsed Circulation Controlfor Marine-Vehicle Control Surfaces, E. G. Paterson and W. J. Baker, 42nd AIAA Aerospace Sciences Meeting, 2004. BibTeX

CFD Modelling of the Flow Around the Ahmed Vehicle Model, G. Frank and J. D'Elia, Proceedings of the 2nd Conference on Advances and Applications of GiD, 2004. BibTeX

Science and Supercomputing at CINECA, A.Bonfiglioli, 2001. BibTeX

Computing high-Reynolds number vortical flows: a highly accurate method with a fully meshless formulation, L. A. Barba, International Conference on Parallel CFD, Grand Canary, May 2004, Submitted, 2004. BibTeX

Computation of Viscous Vortices with Fully Meshless Method, L. A. Barba and A. Leonard, Proceedings of ICTAM meeting in Warsaw, August 2004, Submitted, 2004. BibTeX

Experimental Validation of 3-D Lagrangian VOF Model: Bubble Shape and Rise Velocity, B. G. M. Van Wachem and J. C. Schouten, AIChE, 12, 2002. BibTeX

Precondizionatori paralleli per la fluidodinamica computazionale, P. Leggiero, A. Bonfiglioli, P. Amodio, and F. Mazzi, Dipartimento Interuniversitario di Matematica Universiti degli Studi-Politecnico di Bari Italy, 25/02, 2002. BibTeX

Higher Order Time Integration Methods for Two-Phase Flow, C. E. Kees and C. T. Miller, Advances in Water Resources, 25, 2, 159-177., 2002. BibTeX

Multilevel Parallel High Order Schemes for Invisid Flow Computations on 3D Unstructured Meshes, I. Lepot, F. Meers, and J.A. Essers, ECCOMAS Computational Fluid Dynamics Conference 2001, 2001. BibTeX

Parallel Building Blocks for Finite Element Simulations: Application to Solid-Liquid Mixture Flows, Matthew Knepley and Denis Vanderstraeten, Proceedings of Parallel CFD'97, 281--287, 1998. BibTeX

Parallel Implicit PDE Computations: Algorithms and Software, William D. Gropp, David E. Keyes, Lois Curfman McInnes, and M. D. Tidriri, Proceedings of Parallel CFD'97, 333-344, 1998. BibTeX

Parallel Simulation of Particulate Flows, Matthew Knepley, Ahmed H. Sameh, and Vivek Sarin, Solving Irregularly Structured Problems in Parallel, 226--237, 1998. BibTeX

Globalized Newton-Krylov-Schwarz Algorithms and Software for Parallel Implicit CFD, William D. Gropp, David E. Keyes, Lois Curfman McInnes, and M. D. Tidriri, Int. J. High Performance Computing Applications, 14, 102-136, 2000. BibTeX

Achieving High Sustained Performance in an Unstructured Mesh CFD Application, W. K. Anderson, W. D. Gropp, D. K. Kaushik, D. E. Keyes, and B. F. Smith, ACM/IEEE Proc. of SC 99: High Performance Networking and Computing, Winner of Gordon Bell Special Prize at SC 99, 1999. BibTeX

High Performance Parallel Implicit CFD, W. D. Gropp, D. K. Kaushik, D. E. Keyes, and B. F. Smith, Journal of Parallel Computing, 27, 337-362, 2001. BibTeX

Finite Difference lattice Boltzmann model for Liquid Vapour Systems, Artur Cristea and Victor Sofonea, Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical Sciences, Information Sciences, 3, 3, 2002. BibTeX

Two component lattice Boltzmann model with flux limiter techniques, Artur Cristea and Victor Sofonea, Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical Sciences, Information Sciences, 4, 1, 59--64, 2003. BibTeX

Two component lattice Boltzmann model with flux limiters, Artur Cristea and Victor Sofonea, Central European Journal of Physics, 2, 2, 382--396, 2004. BibTeX

Finite-difference lattice Boltzmann model with flux limiters for liquid-vapor systems, Victor Sofonea, Antonio Lamura, Giuseppe Gonnella, and Artur Cristea, Physical Review E, 70, 4, 046702-1 / 046702-9, 2004. BibTeX

Latency, Bandwidth, and Concurrent Issue Limitations in High-Performance CFD, W. D. Gropp, D. K. Kaushik, D. E. Keyes, and B. F. Smith, Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics, 2001. BibTeX

Understanding the Parallel Scalability of An Implicit Unstructured Mesh CFD Code, W. D. Gropp, D. K. Kaushik, D. E. Keyes, and B. F. Smith, Proceedings of the 7th International Conference on High Performance Computing (HiPC '2000), 395--404, 2000. BibTeX

Performance Modeling and Tuning of an Unstructured Mesh CFD Application, W. D. Gropp, D. K. Kaushik, D. E. Keyes, and B. F. Smith, Proceedings of SC2000, 2000. BibTeX

Design of Large Scale Parallel Simulations, Matthew Knepley, Ahmed H. Sameh, and Vivek Sarin, Proceedings of Parallel CFD'99, 1999. BibTeX

Towards Realistic Performance Bounds for Implicit CFD codes, William D. Gropp, Dinesh K. Kaushik, David E. Keyes, and Barry F. Smith, Proceedings of Parallel CFD'99, 1999. BibTeX

On the Interaction of Architecture and Algorithm in the Domain-Based Parallelization of an Unstructured Grid Incompressible Flow Code, D. K. Kaushik, D. E. Keyes, and B. F. Smith, Proceedings of the 10th International Conference on Domain Decomposition Methods, J. Mandel et al., 311--319, 1997. BibTeX

Newton-Krylov-Schwarz Methods for Aerodynamic Problems: Compressible and Incompressible Flows on Unstructured Grids, D. K. Kaushik, D. E. Keyes, and B. F. Smith, Proceedings of the 11th International Conference on Domain Decomposition Methods, 1999. BibTeX

D. E. Keyes, D. K. Kaushik, and B. F. Smith, Perspectives for CFD on Petaflops Systems, World Scientific, Singapore, 1998, CFD Review 1998. BibTeX

Parallel Simulation of Compressible Flow Using Automatic Differentiation and PETSc, P. D. Hovland and L. C. McInnes, Parallel Computing, special issue of Parallel Computing on ``Parallel Computing in Aerospace'', 2000. BibTeX

Fast Multipole Method for particle interactions: an open source parallel library component, Felipe A. Cruz, Lorena A. Barba, and Matthew G. Knepley, Proceedings of ParCFD2008, Tromeur-Dervout et. al., 2008. BibTeX

A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations, F.-N. Hwang and X.-C. Cai, J. Comput. Phys., 204, 666--691, 2005. BibTeX

Emergence and evolution of tripole vortices from net-circulation initial conditions, Lorena A Barba and Anthony Leonard, Phys. Fluids, 19, 017101, 2007. BibTeX

Non-shielded multipolar vortices at high Reynolds number, Lorena A Barba, Phys. Rev. E, 73, 065303, 2006. BibTeX

Multi-material incompressible flow simulation using the moment-of-fluid method, Schofield, S.P., Christon, M.A., Dyadechko, V., Garimella, R.V., Lowrie, R.B., and Swartz, B.K., International Journal for Numerical Methods in Fluids, 63, 8, 931--952, 2010. BibTeX

Sound transmission through a poroelastic layered panel, Loris Nagler, Ping Rong, Martin Schanz, and Otto von Estorff, Computational Mechanics, 53, 4, 549--560, 2014. BibTeX

On the convergence of shifted Laplace preconditioner combined with multilevel deflation, Sheikh, A. H., Lahaye, D., and Vuik, C., Numerical Linear Algebra with Applications, 20, 4, 645--662, 2013. BibTeX

A parallel computing approach for solving the Helmholtz equation in 3D domains: Application to the study of acoustic behaviour of silencers, J.M., Alonso, G. Garcia, V. Hernandez, F.D. Denia, and F.J. Fuenmayor, Eurppean Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), 2004. BibTeX

Comparison of Quasi Minimal Residual and Bi-Conjugate Gradient Iterative Methods to Solve Complex Symmetric Systems Arising from Time-Harmonic Simulations, H. De Gersem, Domenico Lahaye, S. Vandewalle, and K. Hameyer, COMPEL, 18, 3, 298--310, 1999. BibTeX

Schwarz Methods for Helmholtz's Equation, Olof B. Widlund, Mathematical and Numerical Aspects of Wave Propagation, John A. DeSanto, 620--622, Proceedings of the Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Golden, Colorado, June 1--5, 1998. BibTeX

Overlapping Schwarz Methods for Maxwell's Equations in Conductive Media, Andrea Toselli, Mathematical and Numerical Aspects of Wave Propagation, John A. DeSanto, 540--542, Proceedings of the Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Golden, Colorado, June 1--5, 1998. BibTeX

Parallel Solution of Helmholtz Problems using Additive Schwarz Methods, L. C. McInnes, R. Susan-Resiga, H. M. Atassi, and D. E. Keyes, Mathematical and Numerical Aspects of Wave Propagation, John A. DeSanto, 623--625, Proceedings of the Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Golden, Colorado, June 1--5, 1998. BibTeX

Additive Schwarz Methods with Nonreflecting Boundary Conditions for the Parallel Computation of Helmholtz Problems, L. C. McInnes, R. Susan-Resiga, D. E. Keyes, and H. M. Atassi, Proceedings of the 10th Intl. Conf. on Domain Decomposition Methods, J. Mandel et al., 349--357, 1998. BibTeX

Overlapping Schwarz Algorithms for Solving Helmholtz's Equation, X.-C. Cai, M. A. Casarin, Jr., F. W. Elliott, Jr., and O. B. Widlund, Proceedings of the 10th Intl. Conf. on Domain Decomposition Methods, J. Mandel et al., 437-445, 1998. BibTeX

Parallel Computing Using Schwarz Domain Decomposition Method for Aeroacoustic Problems, R. Susan-Resiga and H. M. Atassi, Proceedings of the 4th AIAA/CEAS Aeroacoustics Conference, 86-96, AIAA paper 98-2218, 1998. BibTeX

Parallel Computation of Harmonic Waves using Domain Decomposition, Part I: General Formulation, H. M. Atassi and R. Susan-Resiga, Proceedings of the ASME Noise Control and Acoustics Division, 375-379, NCA-25, 1998. BibTeX

Parallel Computation of Harmonic Waves using Domain Decomposition, Part II: Numerical Implementation and Applications, R. Susan-Resiga and H. M. Atassi, Proceedings of the ASME Noise Control and Acoustics Division, 381 -388, NCA-25, 1998. BibTeX

Overlapping Schwarz methods for solving Helmholtz's Equation, Xiao-Chuan Cai, Mario A. Casarin, Frank W. Elliott, Jr., and Olof B. Widlund, Domain Decomposition Methods 10, 437--445, 1998. BibTeX

PetClaw: A Scalable Parallel Nonlinear Wave Propagation Solver for Python, Amal Alghamdi, Aron Ahmadia, David I. Ketcheson, Matthew G. Knepley, Kyle T. Mandli, and Lisandro Dalcin, Proceedings of SpringSim 2011, 2011. BibTeX

PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems, David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal Alghamdi, Manuel Quezada de Luna, Matteo Parsani, Matthew G. Knepley, and Matthew Emmett, SIAM Journal on Scientific Computing, 34, 4, C210--C231, http://arxiv.org/abs/1111.6583, 2012. BibTeX

The impact of enabling multiple subdomains per MPI process in the TFETI domain decomposition method, Radim Sojka, David Horák, V\'aclav Hapla, and Martin {\vC}erm\'ak, Applied Mathematics and Computation, 319, 586--597, 2018. BibTeX

A parallel two-level domain decomposition based one-shot method for shape optimization problems, Rongliang Chen and Xiao‐Chuan Cai, International Journal for Numerical Methods in Engineering, 99, 13, 2014. BibTeX

Parallel Fully Coupled Lagrange-Newton-Krylov-Schwarz Algorithms and Software for Optimization Problems Constrained by Partial Differential Equations, Ernesto Prudencio, 2005. BibTeX

Parallel multilevel restricted Schwarz preconditioners with pollution removing for PDE-constrained optimization, Ernesto Prudencio and X. C. Cai, SIAM J. Sci. Comp., 29, 3, 964--985, 2007. BibTeX

Parallel full space SQP Lagrange-Newton-Krylov-Schwarz algorithms for PDE-constrained Optimization Problems, Ernesto Prudencio, R. Byrd, and X. C. Cai, SIAM J. Sci. Comp., 27, 1305--1328, 2006. BibTeX

Domain decomposition methods for PDE-constrained optimization problems, Ernesto Prudencio, R. Byrd, and X. C. Cai, VECPAR 2004, M. Dayde, J. Dongarra, V. Hernandex, and J. Palma, 569--582, 2004. BibTeX

Three-dimensional anisotropic mesh adaptation for phase change problems, Youssef Belhamadia, Andre Fortin, and Eric Chamberland, Journal of Computational Physics, 201, 753-770, 2004. BibTeX

A Lagrange-Newton-Krylov-Schur Method for PDE Constrained Optimization, George Biros and Omar Ghattas, SIAG-Opt Views and News, 11, 2, 2000. BibTeX

A case study in the performance and scalability of optimization algorithms, Steve Benson, Lois Curfman McInnes, and Jorge Moré;, ACM Transactions on Mathematical Software, 27, 3, 361--376, 2001. BibTeX

Parallel preconditioners for KKT systems arising in optimal control of viscous incompressible flows, George Biros and Omar Ghattas, Proceedings of Parallel CFD '99, Williamsburg, Virginia, USA, May 23-26, 1999, 1999. BibTeX

Using Automatic Differentiation for Second-order Matrix-free Methods in PDE-constrained Optimization, P. D. Hovland, D. E. Keyes, L. C. McInnes, and W. Samyono, Automatic Differentiation of Algorithms: From Simulation to Optimization, George Corliss, Christèle Faure, Andreas Griewank, Laurent Hascoët, and Uwe Naumann, 2002. BibTeX

Parallel Lagrange-Newton-Krylov-Schur Methods for PDE-Constrained Optimization. Part I: The Krylov-Schur Solver, George Biros and Omar Ghattas, Laboratory for Mechanics, Algorithms, and Computing, Carnegie Mellon University, 2001. BibTeX

Parallel Lagrange-Newton-Krylov-Schur Methods for PDE-Constrained Optimization. Part II: The Lagrange-Newton Solver, and its Application to Optimal Control of Steady Viscous Flows, George Biros and Omar Ghattas, Laboratory for Mechanics, Algorithms, and Computing, Carnegie Mellon University, 2001. BibTeX

A New Parallel Kernel-independent Fast Multipole Method, Lexing Ying, G. Biros, D. Zorin, and H. Langston, Proceedings of the ACM/IEEE conference on Supercomputing 2003, Winner of the Best Student Paper at SC2003, 2003. BibTeX

PetRBF -- A parallel O(N) algorithm for radial basis function interpolation, Rio Yokota, L A Barba, and Matthew G Knepley, Computer Methods in Applied Mechanics and Engineering, 199, 25-28, 1793--1804, http://arxiv.org/abs/0909.5413v1, 2010. BibTeX

PetFMM -- A dynamically load-balancing parallel fast multipole library, Felipe A. Cruz, Matthew G Knepley, and L A Barba, International Journal of Numerical Methods in Engineering, 85, 4, 403--428, http://arxiv.org/abs/0905.2637, 2010. BibTeX

A sub-grid scale finite element agglomeration multigrid method with application to the Boltzmann transport equation, AG Buchan, CC Pain, AP Umpleby, and RP Smedley-Stevenson, International Journal for Numerical Methods in Engineering, 92, 3, 318--342, 2012. BibTeX

Green computing on graphics processing units, Fréd\'eric Magoulès, Abal-Kassim Cheik Ahamed, and Atsushi Suzuki, Concurrency and Computation: Practice and Experience, 2015. BibTeX

IDEA -- An API for Parallel Computing with Large Spatial Datasets, Yan, Baoqiang and Rhodes, Philip J., Proceedings of the 2011 International Conference on Parallel Processing, 355--364, 2011. BibTeX

Cu(ii)-porphyrin molecular dynamics as seen in a novel EPR/Stochastic Liouville equation study, Hakansson, Par, Nguyen, ThaoNguyen, Nair, Prasanth B., Edge, Ruth, and Stulz, Eugen, Phys. Chem. Chem. Phys., 15, 10930-10941, 2013. BibTeX

Implicit numerical schemes for the stochastic Liouville equation in Langevin form, Hakansson, Par and Nair, Prasanth B., Phys. Chem. Chem. Phys., 13, 9578-9589, 2011. BibTeX

A Differential Variational Inequality Approach for the Simulation of Heterogeneous Materials, Lei Wang, Jungho Lee, Mihai Anitescu, Anter El Azab, Lois Curfman McInnes, Todd Munson, and Barry Smith, Proceedings of SciDAC 2011 Conference, 2011. BibTeX

A time-discrete model for dynamic fracture based on crack regularization, Blaise Bourdin, Christopher Larsen, and Casey Richardson, International Journal of Fracture, 168, 133--143, 2011. BibTeX

The Variational Approach to Fracture, Blaise Bourdin, Gilles Francfort, and Jean-Jacques Marigo, Springer, 2008. BibTeX

The Variational Approach to Fracture, Blaise Bourdin, Gilles Francfort, and Jean-Jacques Marigo, J. Elasticity, 91, 1--148, 2008. BibTeX

Spectrum of the non-abelian phase in Kitaev's honeycomb lattice model, Lahtinen, V., Kells, G., Carollo, A., Stitt, T., Vala, J., and Pachos, J.K., Annals of Physics, 323, 9, 2286--2310, 2008. BibTeX

Discriminative language modeling with conditional random fields and the perceptron algorithm, Roark, B., Saraclar, M., Collins, M., and Johnson, M., Proceedings of the 42nd Annual Meeting on Association for Computational Linguistics, 47, 2004. BibTeX

Discriminative n-gram language modeling, Roark, B., Saraclar, M., and Collins, M., Computer Speech & Language, 21, 2, 373--392, 2007. BibTeX

Parallel performance of the PETSc Krylov methods applied to linear systems of 3D nanodevice simulators, Garcia-Rivera, A., Valin, R., Seoane, N., Garcia-Loureiro, A., and Aldegunde, M., IEEE. BibTeX

A parallel artificial neural network implementation, Wesley-Smith, I., 2006. BibTeX

Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloidal particle interactions, F.-N. Hwang, S.-R. Cai, Y.-L. Shao, and J.-S. Wu, Computer Physics Communications, 1529--1537, 2010. BibTeX

Parallel pseudo-transient Newton-Krylov-Schwarz continuation algorithms for bifurcation analysis of incompressible sudden expansion flows, C.-Y. Huang and F.-N. Hwang, Applied Numerical Mathematics, 60, 738--751, 2010. BibTeX

A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for polynomial eigenvalue problems in quantum dot simulation, F.-N. Hwang, Z.-H. Wei, T.-M. Huang, and W. Wang, Journal of Computational Physics, 229, 2932--2947, 2010. BibTeX

A Parallel Scalable PETSc-Based Jacobi-Davidson Polynomial Eigensolver with Application in Quantum Dot Simulation, Wei, Z.H., Hwang, F.N., Huang, T.M., and Wang, W., Domain Decomposition Methods in Science and Engineering XIX, 157--164, 2011. BibTeX

Sequential and parallel resolution of the two-group transient neutron diffusion equation using second-degree iterative methods, Flores-Sánchez, O., Vidal, V., Garc\'\ia, V., and Flores-S\'anchez, P., High Performance Computing for Computational Science-VECPAR 2006, 426--438, 2007. BibTeX

Enabling High Fidelity Neutron Transport Simulations on Petascale Architectures, Dinesh Kaushik, Michael Smith, Allan Wollaber, Barry Smith, Andrew Siegel, and Won Sik Yang, ACM/IEEE Proceedings of SC2009: High Performance Networking and Computing, SC'09 Gordon Bell Prize Finalist, 2009. BibTeX

An Efficient Algorithm for Classical Density Functional Theory in Three Dimensions: Ionic Solutions, Matthew G. Knepley, Dmitry A. Karpeev, Seth Davidovits, Robert S. Eisenberg, and Dirk Gillespie, Journal of Physical Chemistry, 132, 12, 124101--124111, 2010. BibTeX

Energetics of Calcium Selectivity: A Three-Dimensional Classical Density Functional Theory Approach, Knepley, M. G., Karpeev, D.~A., Eisenberg, R.~S., and Gillespie, D., Biophysical Journal, 96, 661, 2009. BibTeX

PARALLEL FINITE ELEMENT METHOD FOR COUPLED CHLORIDE MOISTURE DIFFUSION IN CONCRETE, SUWITO AND XIAO-CHUAN CAI AND YUNPING XI, INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 3, 4, 2006. BibTeX

High Performance Simulations of Electrokinetic Flow and Transport in Microfluidic Chips, Pablo A. Klera, Lisandro D. Dalcin, Fabio A. Guarnieria, and Mario A. Stortia, 2008. BibTeX

Parallel Computation of 3-D Soil-Structure Interaction in Time Domain with a Coupled FEM/SBFEM Approach, Schauer, Marco, Roman, Jose, Quintana-Ortí, Enrique, and Langer, Sabine, Journal of Scientific Computing, 1-22. BibTeX

Parallel Finite Element Computations for Soil-Foundation-Structure Interaction Problems Report, Boris Jeremic and Guanzhou Jie, UCD CompGeoMech 02--2007, 2007. BibTeX

Fast 3D frequency-dependent Radiative Transfer for Magneto-Hydrodynamics, Rolf Kuiper, Max-Planck-Institute for Astronomy, 2008. BibTeX

Multidimensional multiphysics simulation of nuclear fuel behavior, Williamson, R.L., Hales, J.D., Novascone, S.R., Tonks, M.R., Gaston, D.R., Permann, C.J., Andrs, D., and Martineau, R.C., Journal of Nuclear Materials, 423, 1, 149--163, 2012. BibTeX

COBRA-TF parallelization and application to PWR reactor core subchannel DNB analysis, Kucukboyaci, Vefa, Sung, Yixing, and Salko, Robert, Joint International Conference on Mathematics and Computation, Supercomputing in Nuclear Applications and the Monte Carlo Method, 1--18, 2015. BibTeX

Solving Nonlinear Solid Mechanics Problems with the Jacobian-Free Newton Krylov Method, Hales, J.D., Novascone, S.R., Williamson, R.L., Gaston, D.R., and Tonks, M.R., Computer Modeling in Engineering & Sciences(CMES), 84, 2, 123--153, 2012. BibTeX

Fast reactor core simulations using the UNIC code, M. A. Smith, C. Rabiti, D. Kaushik, B. Smith, W. S. Yang, and G. Palmiotti, Proceedings of the International Conference on the Physics of Reactors, Nuclear Power: A Sustainable Resource, 2008. BibTeX

UNIC: Ultimate Neutronic Investigation Code, G. Palmiotti, M. A. Smith, C. Rabiti, M. Leclere, D. Kaushik, A. Siegel, B. Smith, and E. E. Lewis, Joint International Topical Meeting on Mathematics and Computation and Supercomputing in Nuclear Applications, 2007. BibTeX

PNFE Component of the UNIC Code, M. A. Smith, G. Palmiotti, C. Rabiti, D. Kaushik, A. Siegel, B. Smith, and E. E. Lewis, Joint International Topical Meeting on Mathematics and Computation and Supercomputing in Nuclear Applications, 2007. BibTeX

Object-oriented programming for fast-and-easy development of parallel applications in forming processes simulation, H. Digonnet and T. Coupez, Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics, 2003. BibTeX

Calcul parallele en mise en forme des materiaux, H. Digonnet and T. Coupez, XVIeme Congres Francais de Mecanique, 2003. BibTeX

Parallel computation for solving efficiently viscoelastic fluid flow problems, H. Digonnet, L. Silva, and T. Coupez, Proceedings of ECCOMAS 2004, 2004. BibTeX

Parallel computation applied to 3D FE simulation of polymer injection molding, H. Digonnet, L. Silva, and T. Coupez, Proceedings of WCCM VI, 2004. BibTeX

Calcul parallele appliqu aux coulements de fluides complexe, H. Digonnet, O. Basset, T. Coupez, and L. Silva, Proceedings of Eme Congres Francais de Mecanique, 2005. BibTeX

Sparse Triangular Solves for ILU Revisited: Data Layout Crucial to Better Performance, B. Smith and H. Zhang, International Journal of High Performance Computing Applications, 25, 4, 386--391, 2011. BibTeX

SIPs: Shift-and-Invert Parallel Spectral Transformations, H. Zhang, B. Smith, M. Sternberg, and P. Zapol, TOMS, 2, 2007. BibTeX

The detachment of a viscous drop in a viscous solution in the presence of a soluble surfactant, Fang Jin, Nivedita R. Gupta, and Kathleen J. Stebe, Phys. Fluids, 18, 2006. BibTeX

Phase Field Simulations of Liquid-Liquid Demixing During Immersion Precipitation of Polymeric Membranes in 2D and 3D, Bo Zhou and Adam Powell, J. Membrane Sci., 268, 2, 150--164, 2006. BibTeX

Flame Acceleration Distance in Obstacle-Laden Tubes, Anke Veser, Wolfgang Breitung, Sergey Dorofeev, and Alexander Efimenko, Proceedings of the NINTH INTERNATIONAL CONFERENCE ON NUMERICAL COMBUSTION, 2002. BibTeX

Discrete Willmore Flow, Alexander I. Bobenko and Peter Schrader, Eurographics Symposium on Geometry Processing, M. Desbrun and H. Pottmann, 2005. BibTeX

A numerical method for inverse design based on the inverse Euler equations, A. Scascighini, A. Troxler, and R. Jeltsch, International Journal for Numerical Methods in Fluids, 41, 339--355, 2003. BibTeX

A Numerical Method for the Design of Internal Flow Configurations Based on the Inverse Euler Equations, ANDREA SCASCIGHINI, 2001. BibTeX

A fast, higher-order solver for scattering by penetrable bodies in three dimensions, E. McKay Hyde and Oscar P. Bruno, Journal of Computational Physics, 202, 236--261, 2005. BibTeX

PARALLEL SOLUTION OF HIGH ORDER FINITE DIFFERENCE SCHEMES FOR PRICING MULTI-DIMENSIONAL AMERICAN OPTIONS, Matthew F Dixon, 2002. BibTeX

Fast Parallel PageRank: A Linear System Approach, David Gleich, Leonid Zhukov, and Pavel Berkhin, Stanford University, 2004. BibTeX

A DIAL-AN-OPERATOR APPROACH TO SIMULATION OF IMPURITY DIFFUSION IN SEMICONDUCTORS, Daniel W. Yergeau, 1999. BibTeX

KULL: LLNL's ASCI Inertial Confinement Fusion Simulation Code, J.A. Rathkopf, D.S. Miller, J.M. Owen, L.M. Stuart, M.R. Zika, P.G. Eltgroth, N.K. Madsen, K.P. McCandless, P.F. Nowak, M.K. Nemanic, N.A. Gentile, N.D. Keen, and T.S. Palmer, Physor 2000 American Nuclear Society Topical Meeting on Advances in Reactor Physics and Mathematics and Computation into the Next Millennium, 2000. BibTeX

An Implicit Fluctuation Splitting Scheme for Turbomachinery Flows, A. Bonfiglioli, P. De Palma, G. Pascazio, and M. Napolitano, Journal of Turbomachinery, 127, 395-401, 2005. BibTeX

High Performance Algorithms for Scalable Spin-Qubit Circuits with Quantum Dots, John Fettig, Nahil Sobh, Dmitriy V. Melnikov, and Jean-Pierre Leburton, Proceedings of the 5th International Conference on Linux Clusters, 2005. BibTeX

Spin configurations in circular and rectangular vertical quantum dots in a magnetic field: Three-dimensional self-consistent simulation, Dmitriy V. Melnikov, Philippe Matagne, Jean-Pierre Leburton, D.G. Austing, G. Yu, S. Tarucha, John Fettig, and Nahil Sobh, Arxiv preprint cond-mat/0506585, 2005. BibTeX

PARALLEL THERMAL RADIATION TRANSPORT IN TWO DIMENSIONS, Richard P. Smedley-Stevenson, 18th International Conference on Transport Theory (18 ICTT), 2003. BibTeX

Comparison Between Non-Equilibrium Green's Function and Monte Carlo Simulations for Transport in a Silicon Quantum Wire Structure, D. Guan, A. Godoy, U. Ravaioli, and F. Gamiz, Journal of Computational Electronics, 2, 335--339, 2003. BibTeX

One-level Newton-Krylov-Schwarz algorithm for unsteady nonlinear radiation diffusion problem, S. Ovtchinnikov and X.-C. Cai, Numer. Lin. Alg. Applics, 11, 867--881, 2004. BibTeX

Floating Solids: Combining Phase Field and Fluid-Structure Interactions, Adam Powell and David Dussault, Appl. Numer. Anal. Comp. Math., 2, 1, 157--166, 2005. BibTeX

Accuracy analysis of the thrust force in 2D-3D finite element models, G. Deliége, F. Henrotte, and K. Hameyer, International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL), 2005. BibTeX

Finite element modelling of ion convection by electrostatic forces, G. Deliége, F. Henrotte, W. Deprez, and K. Hameyer, IEE Proceedings Science, Measurement and Technology, 151, 6, 2004. BibTeX

Algebraic Multigrid Techniques for Strongly Indefinite Linear Systems from Direct Frequency Response Analysis in Solid Mechanics, Adams M.F., Computional Mechanics, 39, 4, 497-507, 2007. BibTeX

Computational Modeling of Ion Beam-Neutralizer Interactions in Two and Three Dimensions, A. Wheelock and D. Cooke, 40th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, 2004. BibTeX

Parallelizing Pre-rendering Computations on a Net Juggler PC Cluster, Jeremie Allard, Valerie Gouranton, Emmanuel Melin, and Bruno Raffin, Immersive Projection Technology Symposium, 2002. BibTeX

Hybrid and concurrent algorithms for nonlinear magnetic field problems, D Ioan, G Ciuprina, and C Ciobotaru, IEEE Transactions on Magnetics, 2000. BibTeX

Development and Performance Analysis of a Parallel Finite Element Application Implemented in an Object-Oriented Programming Framework, Brian J. Henz and Dale R. Shires, PDPTA 2003, 1286-1292, Resin Transfer Modeling, 2003. BibTeX

Least-Squares Finite Element Methods for Electromagnetic Applications, Rickard Bergstrom, Chalmers, 2000-05, 2000. BibTeX

A Moving Overset Grid Method for Interface Dynamics Applied to Non-Newtonian Hele Shaw Flow, Petri Fast and Michael J. Shelley, Journal of Computational Physics, 195, 117-142, 2004. BibTeX

Efficient Training of Conditional Random Fields, Hanna Wallach, 2002. BibTeX

Stability of explicit-implicit hybrid time-stepping schemes for Maxwells equations, T Rylander and A Bondeson, Journal of Computational Physics, 179, 426-438, 2002. BibTeX

Comparison of two implementations of AMG-preconditioned CG considering an electrostatic problem, Uwe Fabricius, Friedrich Alexander Universitat Erlangen Nurnberg Germany, 04-1, 2004. BibTeX

Lecture Notes in Computer Science, Natalia Seoane and A.J.Garca-Loureiro, 2004. BibTeX

Simulation of Sandia Flame D Using Velocity-Scalar Filtered Density Function, M. B. Nik, S. L. Yilmaz, P. Givi, M. R. H. Sheikhi, and S. B. Pope, AIAA Journal, 48, 7, 1513--1522, 2010. BibTeX

Grid Resolution Effects on VSFMDF/LES, Mehdi B. Nik, Server L. Yilmaz, Mohammad Reza H. Sheikhi, and Peyman Givi, Flow, Turbulence and Combustion, 2010. BibTeX

Towards faster solution of large power flow problems, Idema, Reijer, Papaefthymiou, Georgios, Lahaye, Domenico, Vuik, Cornelis, and van der Sluis, Lou, Power Systems, IEEE Transactions on, 28, 4, 4918--4925, 2013. BibTeX

Scalable Newton-Krylov Solver for Very Large Power Flow Problems, Idema, R., Lahaye, D.J.P., Vuik, C., and Van der Sluis, L., Power Systems, IEEE Transactions on, 27, 1, 390-396, 2012. BibTeX

Computational Methods in Power System Analysis, Idema, Reijer and Lahaye, Domenico JP, Springer, 2014. BibTeX

Development of an implicitly coupled electromechanical and electromagnetic transients simulator for power systems, Shrirang Abhyankar, 2011. BibTeX

Using PETSc to develop scalable applications for next-generation power grid, Shrirang Abhyankar, Barry Smith, Hong Zhang, and A. Flueck, Proceedings of the 1st International Workshop on High Performance Computing, Networking and Analytics for the Power Grid, 2011. BibTeX

Development of a parallel three-phase transient stability simulator for power systems, Shrirang Abhyankar, Alexander Flueck, Xu Zhang, and Hong Zhang, Proceedings of the 1st International Workshop on High Performance Computing, Networking and Analytics for the Power Grid, 2011. BibTeX

An implicitly-coupled solution approach for combined electromechanical and electromagnetic transients simulation, Shrirang Abhyankar and A. Flueck, Proceedings of the IEEE PES General Meeting, 2012. BibTeX

Scalable Newton-Krylov solver for very large Power Flow problems, Reijer Idema, Domenico Lahaye, Cornelis Vuik, and Lou van der Sluis, IEEE Transactions on Power Systems, 27, 390-396, 2012. BibTeX

A distributed implementation of multi-area power system state estimation on a cluster of computers , George N. Korres, Anastasios Tzavellas, and Evangelos Galinas, Electric Power Systems Research , 102, 0, 20 - 32, 2013. BibTeX

Modulized Coupled Simulation of Localized Pit Initiation in Stainless Steel, Yuan He, Joshua Gray, Richard Braatz, and Richard Alkire, American Institute of Chemical Engineers 2004 Annual Meeting, 2004. BibTeX

Algorithms and Computing Architectures for Solving Differential-Algebraic Equation Systems Typically Encountered in Models of Corrosion Pit Initiation, J. Gray, and C. Homescu, L. Petzold, and Richard Alkire, Abstracts of the Electrochemical Society 204th meeting, 2003. BibTeX

A multiscale modeling approach to crack initiation in metallic polycrystals, Erin Lesulauro, Anthony R. Ingraffea, Gerd Heber, and Paul A. Wawrzynek, 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2003. BibTeX

Fracture Mechanics on the Intel Itanium Architecture, Gerd Heber, Andrew J. Dolgert, Maxirn Alt, Karen A. Mazurkiewicz, and Lynd Stringer, Intel Corporation, 2001. BibTeX

Modeling of 3D Metallic Polycrystals and Simulation of Crack Initiation, E. Iesulauro, G. Heber, P. A. Wawrzynek, and A. R. Ingraffea, International Conference ON Computational Engineering and Sciences, 2002. BibTeX

Parallel FEM Simulation of Crack Propagation, Bruce Carter, Chuin-Shan Chen, L. Paul Chew, Nikos Chrisochoides, Guang R. Gao, Gerd Heber, Antony R. Ingraffea, Roland Krause, Chris Myers, Demian Nave, Keshav Pingali, Paul Stodghill, Stephen Vavasis, and Paul A. Wawrzynek, Proceedings of Irregular 2000, 2000. BibTeX

Use of Polycrystal Plasticity Theory in Assessing Material Performance, A. J. Beaudoin, Simulation of materials processing: Theory, methods, and applications - Proceedings of the Sixth International Conference, NUMIFORM'98, J. Huétink and F. P. T. Baaijens, 1998. BibTeX

RF3P-A New Parallel Driven Frequency Electromagnetic Solver, JF DeFord and BL Held, Simulation Technology and Applied Research, Discusses their parallel commercial solver that uses PETSc, 2002. BibTeX

Modelling and Finite Element Simulation of Non-Linear and Anisotropic Quasi-Static Electromagnetic Systems, Hans Vande Sande, 2003. BibTeX

Reducing the Computation Time of Non-Linear Problems by an Adaptive Linear System Tolerance, H. Vande Sande, W. Deprez, J. De Coster, F. Henrotte, and K. Hameyer, IEEE Transactions on Magnetics, 40, 1306--1309, 2004. BibTeX

Optimal constraint projection for hyperbolic evolution systems, Michael Holst, Lee Lindblom, Robert Owen, Harald P. Pfeiffer, Mark A. Scheel, and Lawrence E. Kidder, Phys. Rev. D, 70, 084017, 2004. BibTeX

Extended Lifetime in Computational Evolution of Isolated Black Holes, Matthew Anderson and Richard A. Matzner, Foundations of Physics, 35, 1572--9516, 2005. BibTeX

Excision boundary conditions for black hole initial data, Cook, Gregory B. and Pfeiffer, Harald P., Phys. Rev. D, 70, 104016--24, 2004. BibTeX

Initial data for Einstein's equations with superposed gravitational waves, Harald P. Pfeiffer, Lawrence E. Kidder, Mark A. Scheel, and Deirdre Shoemaker, Phys. Rev. D, 71, 024020, 2005. BibTeX

A multidomain spectral method for solving elliptic equations, Pfeiffer, Harald P., Kidder, Lawrence E., Scheel, Mark A., and Teukolsky, Saul A., CPC, 152, 253--273, Solves nonlinear coupled 3-D elliptic equations that arise in general relativity. For a related online version, see arXiv:gr-qc/0202096, 2003. BibTeX

Comparing initial-data sets for binary black hole, Pfeiffer, Harald P., Cook, Gregory B., and Teukolsky, Saul A., PRD, 66, 024047, for a related online version, seearXiv:gr-qc/0203085, 2002. BibTeX

Initial Data for Black Hole Evolutions, Pfeiffer, Harald P., 2003. BibTeX

A fast apparent horizon algorithm, Erik Schnetter, Arxiv preprint gr-qc/0206003, 2002. BibTeX

Finding apparent horizons and other 2-surfaces of constant expansion, Erik Schnetter, Class. Quantum Grav., 20, 4719-4737, 2003. BibTeX

Algebraic multigrid methods for constrained linear systems with applications to contact problems in solid mechanics, Adams, M. F., Numerical Linear Algebra with Applications, 11, 2-3, 141-153, 2004. BibTeX

Solving Nonlinear Magnetic Problems Using Newton Trust Region Methods, H. Vande Sande, H. De Gersem, F. Henrotte, and K. Hameyer, IEEE TRANSACTIONS ON MAGNETICS, 39, 1709--1712, 2003. BibTeX

Parallelization and Integration of a Large Scale Hydrocarbon Pool Fire in the Uintah PSE, Rajesh Rawat, Jennifer P. Spinti, Wing Yee, and Philip J. Smith, In Proceedings of Ninth Internation Conference on Numerical Combustion - ICNC 2002, 49-55, Extended abstract, 2002. BibTeX

An Inherently-Parallel Method for Solving Discretized Diffusion Equations, Bradley R. Eccleston and Todd S. Palmer, Department of Nuclear Engineering, Oregon State University, Funded under the ASCI Level III: Computational Transport Issues for Large-Scale Parallel Simulations, 1999. BibTeX

A scalable modular convex solver for regularized risk minimization, Teo, C.H., Smola, A., Vishwanathan, SVN, and Le, Q.V., Proceedings of the 13th ACM SIGKDD international conference on Knowledge discovery and data mining, 727--736, 2007. BibTeX

A comparison of algorithms for maximum entropy Parameter estimation, Robert Malouf, In Proceedings of the Sixth Conference on Natural Language Learning (CoNLL-2002), 49-55, 2002. BibTeX

Computing the Lambda Modes of a Nuclear Reactor with SLEPc and PETSc, V. Hernandex, J. E. Roman, and V. Vidal, Submitted to CMMSE. BibTeX

Solving finite difference schemes arising in trivariate option pricing, Manfred Gilli, Evis Kellezi, and Giorgio Pauletto, Journal of Economic Dynamics and Control, 26, 1499-1515, 2002. BibTeX

Comparison of three algorithms for nonlinear metal cutting problems, C.J.Palansuriya, C-H.Lai, C.S.Ierotheou, K.A.Pericleous, and D.E.Keyes, Proceedings of the 11th International Conference on Domain Decomposition Methods, C.-H. Lai et al., 1999. BibTeX

Multi-Model Multi-Domain Computational Methods in Aerodynamics and Acoustics Web Page, David E. Keyes, Old Dominion University. BibTeX

Parallelization of Thermal Recovery Simulation Based on PETSc, Liu, L., Xue, W., Shu, J., and Ma, L., IEEE, 2010. BibTeX

New Generation Framework for Petroleum, Reservoir Simulation, University of Texas at Austin and Argonne National Laboratory. BibTeX

Adapting EMAP3D to parallel processing, V. Thiagarajan, K. Milfeld, and KT. Milfeld, IEEE TRANSACTIONS ON MAGNETICS , 37, 143--146, 2001. BibTeX

Parallel computation for electronic waves in quantum corrals, HK Harbury and W Porod, VLSI Design, 6, 47--51, 1998. BibTeX

Mixed Finite Element Beam Propagation Method, Mark Bludszuweit, Journal of Lightwave Technology, 16, 7, 1336--42, 1998. BibTeX

J. L. Friedman and N. Stergioulas, Astrophysics Journal, 492, 301, 1998. BibTeX

S. M. Morsink, N. Stergioulas, and S. Blattnig, Astrophysics Journal, 510, 854, 1999. BibTeX

Ph. D. thesis, N. Stergioulas, University of Wisconsin-Milwaukee, 1996. BibTeX

Solutions of TEAM Problem #13 Using Integral Equations in a Sequential and Parallel Computing Environment, L. Kettunen, K. Forsman, D. Levine, and W. Gropp, Proceedings of the Miami TEAM Workshop, 1993. BibTeX

Solutions of TEAM Problems 13 and 20 Using a Volume Integral Formulation, L. Kettunen, K. Forsman, D. Levine, and W. Gropp, Proceedings of Aix-les-Bains TEAM Workshop, 1994. BibTeX

Computational Electromagnetics and Parallel Dense Matrix Computations, L. Kettunen, K. Forsman, D. Levine, and W. Gropp, Proceedings of the SIAM Parallel Processing for Scientific Computing Conference, 1995. BibTeX

Evaluation of Multigrid as a Solver for Stress Analysis Problems in Semiconductor Process Simulation, Slobodan Mijalkovi\'c, Multigrid Methods VI: Proceedings of the Sixth European Multigrid Conference Held Gent, Belgium, September 27--30, 1999., Erik Dick, Kris Riemslagh, Jan Vierendeels, 2000. BibTeX

Mixed Finite Element Beam Propagation Method, Mark Bludszuweit, Journal of Lightwave Technology, 16, 7, 1336--42, 1998. BibTeX

Parallel Krylov Methods for Econometric Model Simulation, Manfred Gilli and Giorgio Pauletto, Computational Economics, 16, 173--186, 2000. BibTeX

Software Packages that use or interface to PETSc

PetIGA: High-Performance Isogeometric Analysis, Nathan Collier, Lisandro Dalcin, and Victor M. Calo, arxiv, 1305.4452, http://arxiv.org/abs/1305.4452, 2013. BibTeX

PetIGA: A framework for high-performance isogeometric analysis, Lisandro Dalcin, Nathan Collier, Philippe Vignal, AMA C\^ortes, and Victor M. Calo, Computer Methods in Applied Mechanics and Engineering, 2016. BibTeX

PetIGA Web page, N. Collier, L. Dalcin, and V.M. Calo, 2014. BibTeX

Automating the Finite Element Method, Logg, Anders, Archives of Computational Methods in Engineering, 14, 2, 93-138, 2007. BibTeX

Solving large sparse linear systems in a grid environment: the GREMLINS code versus the PETSc library, Jezequel, Fabienne, Couturier, Raphaël, and Denis, Christophe, The Journal of Supercomputing, 59, 3, 1517-1532, 2012. BibTeX

FEAP: A Finite Element Analysis Program, FEAP Team, Uses PETSc linear solvers - iterative and direct. BibTeX

ParPre Web Page, Victor Eijkhout, University of Tennessee, This is no longer supported. A set of preconditioners built on PETSc. BibTeX

PISM: a Parallel Ice Sheet Model, PISM Team, http://www.pism-docs.org/. BibTeX

OOFEM - an object oriented finite element package, Borek Patzak. BibTeX

OpenFVM - a finite volume based general purpose CFD solver, Open source development. BibTeX

DENDRO: a parallel geometric multigrid library for trilinear finite elements on octree meshes, H. Sundar, R.S. Sampath, S.S. Adavani, C. Davatzikos, and G. Biros, University of Pennsylvania. BibTeX

A computational framework for simulation of biogeochemical tracers in the ocean, Khatiwala, S., Columbia University. BibTeX

Lecture Notes in Computer Science, Xiangmin Jiao, Xiang-Yang Li, and Xiaosong Ma, 1999. BibTeX

DistSolve: An Open Source Web Service for Solving Sparse Systems of Equations, C. S. Crow IV, Hopkins Undergraduate Research Journal, 2003. BibTeX

PETSc for Python, L. Dalcin, R. Paz, and M. Storti, International Center for Computer Methods in Engineering, Provides Python bindings for PETSc via SWIG. BibTeX

CFDShip-Iowa, Pablo M. Carrica, Robert V. Wilson, and Fred Stern, University of Iowa, CFDShip-Iowa is a multiblock free surface flow solver that uses overset structured grids, designed for ship applications. BibTeX

Multiflow, Berend van Wachem, Mechanical Engineering - Chalmers University of Technology, MultiFlow is a curvlinear, multiblock, multiprocessor flowsolver for multiphase flows.. BibTeX

FENA - A Finite Element Model for the North Atlantic, Jens Schroeter, Alfred-Wegener-Institute for Polar and Marine Research. BibTeX

The Idea and Concept of Metos3D: A Marine Ecosystem Toolkit for Optimization and Simulation in 3-D, Piwonski, J. and Slawig, T., Christian-Albrechts-Universität zu Kiel, 2010. BibTeX

Metos3D: A Marine Ecosystem Toolkit for Optimization and Simulation in 3-D, Piwonski, J. and Slawig, T., Christian-Albrechts-Universität zu Kiel. BibTeX

Magpar: Parallel Micromagnetics Code, W. Scholz, Vienna University of Technology. BibTeX

libMesh:a C++ framework for the numerical simulation of partial differential equations on serial and parallel platforms, [Online]. BibTeX

Multiphysics Object-Oriented Simulation Environment (MOOSE), David Andrs, Cody Permann, Andrew Slaughter, Richard Martineau, Derek Gaston, John Peterson, and Jason Miller, Idaho National Laboratory. BibTeX

MOOSE: A parallel computational framework for coupled systems of nonlinear equations, Gaston, D., Newman, C., Hansen, G., and Lebrun-Grandié, D., Nuclear Engineering and Design, 239, 10, 1768--1778, 2009. BibTeX

An object-oriented finite element framework for multiphysics phase field simulations, Tonks, M.R., Gaston, D., Millett, P.C., Andrs, D., and Talbot, P., Computational Materials Science, 51, 1, 20--29, 2012. BibTeX

PyLith User Manual Version 2.0.0, Brad Aagaard, Sue Kientz, Matthew G. Knepley, Surendra Somala, Leif Strand, and Charles Williams, 2014. BibTeX

PyLith, Brad Aagaard, Matthew G. Knepley, and Charles Williams, 2012. BibTeX

Gale User Manual Version 2.0.0, Walter Landry, Luke Hodkinson, and Susan Kientz, 2011. BibTeX

UnderWorld: A Geodynamics Modelling Code, Louis Moresi, Monash University. BibTeX

Computational approaches to studying non-linear dynamics of the crust and mantle, Moresi, L., Quenette, S., Lemiale, V., Meriaux, C., Appelbe, B., and Mühlhaus, H.B., Physics of the Earth and Planetary Interiors, 163, 1-4, 69--82, 2007. BibTeX

Chaste: a test-driven approach to software development for biological modelling, Pitt-Francis, J., Pathmanathan, P., Bernabeu, M.O., Bordas, R., Cooper, J., Fletcher, A.G., Mirams, G.R., Murray, P., Osborne, J.M., Walter, A., and others, Computer Physics Communications, 180, 12, 2452--2471, 2009. BibTeX

The FEniCS project, Logg, A., Ølgaard, K., Rognes, M.E., Wells, G.N., Jansson, J., Kirby, R.C., Knepley, M.G., Lindbo, D., and Skavhaug, O., A continually updated technical report. http://fenicsproject.org, 2011. BibTeX

Snark: A suite of software for geoscientific applications and a philosophy of scientific software development, Victorian Partnership for Advanced Computing. BibTeX

Innovative Modern Object-Oriented Solving Environment - iMOOSE, Guido Arians, Thomas Bauer, Christian Kaehler, Wolfgang Mai, Christoph Monzel, Dirk van Riesen, and Christoph Schlensok, [Online]. BibTeX

FoSSI: Family of Simplified Solver Interfaces, offers scalable access to MPI-parallel solvers from CSR-matrix format frequently used in sequential/vector codes, Stephan Frickenhaus, AWI-Bremerhaven, Germanny. BibTeX

PETSC-FUN3D Benchmark Page, Dinesh Kaushik, ODU/ANL, CFD Benchmark of some solvers in PETSc. BibTeX

SCIRun, SCIRun Development Team, University of Utah, SCIRun now uses PETSc linear solvers. BibTeX

Prometheus - A scalable unstructured finite element solver, Mark F. Adams, Berkeley. BibTeX

Illuminator Distributed Visualization Library, Adam C. Powell, IV. BibTeX

RheoPlast Phase Field Multi-Physics Code, Adam Powell, David Dussault, and Bo Zhou. BibTeX

Toolkit for Advanced Optimization (TAO) Web Page, Alp Dener, Adam Denchfield, Todd Munson, Jason Sarich, Stefan Wild, Steve Benson, Lois Curfman McInnes, and Jorge Moré, Mathematics and Computer Science Division, Argonne National Laboratory. BibTeX

Toolkit for Advanced Optimization (TAO) users manual, Alp Dener, Adam Denchfield, Todd Munson, Jason Sarich, Stefan Wild, Steve Benson, and Lois Curfman McInnes, Argonne National Laboratory, ANL/MCS-TM-322 - Rev 3.12, 2019. BibTeX

MEF++ Web Page, Eric Chamberland, Groupe Interdisiplinaire de Recherche en Elements Finis, A finite element code for fluid dynamics, solid mechanics, thermal and multiphysics. BibTeX

Ti-PETSc - an interface to PETSc from Titanium, Berkeley. BibTeX

ptatin3d, Jed Brown, Laetitia Le Pourhiet, Dave A. May, and Patrick Sanan, 2018. BibTeX

Multiphase flow with PETSc, Q. Zou, LANL. BibTeX

EMSolve Web page, Daniel White et al., LLNL. BibTeX

Finite element software, Kuleuven. BibTeX

PETSc Web page, Satish Balay, Shrirang Abhyankar, Mark F. Adams, Jed Brown, Peter Brune, Kris Buschelman, Lisandro Dalcin, Alp Dener, Victor Eijkhout, William D. Gropp, Dmitry Karpeyev, Dinesh Kaushik, Matthew G. Knepley, Dave~A. May, Lois Curfman McInnes, Richard Tran Mills, Todd Munson, Karl Rupp, Patrick Sanan, Barry F. Smith, Stefano Zampini, Hong Zhang, and Hong Zhang, 2019. BibTeX

Debian package for PETSc, Adam C. Powell, IV. BibTeX

Cactus Website, Provides two interface to the PETSc solvers. BibTeX

PETSc-FEM: A General Purpose, Parallel, Multi-Physics FEM Program, Mario Storti and Norberto Nigro, Centro Internacional de Metodos Computacionales en Ingenieria (CIMEC). BibTeX

FIDAP 8.5, Fluent's commercial finite element fluid code uses PETSc for parallel linear solves.. BibTeX

SLEPc Homepage, Carmen Campos, José E. Rom\'an, Eloy Romero, Andrés Tom\'as, Vicente Hern\'andez, and Vicent Vidal, Scalable Library for Eigenvalue Problem Computations. BibTeX

SLEPc Users Manual, Carmen Campos, José E. Rom\'an, Eloy Romero, Andrés Tom\'as, Vicente Hern\'andez, and Vicent Vidal, DISC-II/24/02, Scalable Library for Eigenvalue Problem Computations. BibTeX

deal.II, deal.II is a C++ library targeting adaptive finite elements and error estimation. It allows PETSc linear algebra and solvers to be used underneath.. BibTeX

deal.II---A general-purpose object-oriented finite element library, Bangerth, W., Hartmann, R., and Kanschat, G., ACM Transactions on Mathematical Software (TOMS), 33, 4, 24--es, 2007. BibTeX

Global Arrays, Jarek Nieplocha et al., Pacific Northwest National Laboratories, Global arrays can use PETSc linear solvers. BibTeX

Run-time extensibility and librarization of simulation software, Jed Brown, Matthew G. Knepley, and Barry Smith, IEEE Computing in Science and Engineering, 17, 1, 38--45, 2015. BibTeX

Preliminary implementation of Hybrid MPI/pthread programming model in PETSc, Shrirang Abhyankar, Barry Smith, and Kerry Stevens, Argonne National Laboratory, ANL/MCS-P2011-0112, 2012. BibTeX

Solvers as Operators, Andrew Cleary and Matthew G. Knepley, Lawrence Livermore National Laboratory, UCRL-ID-135342, 1999. BibTeX

PETSc's software strategy for the design space of composable extreme-scale solvers, Barry Smith, Lois Curfman McInnes, Emil Constantinescu, Mark Adams, Satish Balay, Jed Brown, Matthew Knepley, and Hong Zhang, Argonne National Laboratory, ANL/MCS-P2059-0312, DOE Exascale Research Conference, April 16-18, 2012, Portland, OR, 2012. BibTeX

Coping at the User-Level with Resource Limitations in the Cray Message Passing Toolkit MPI at Scale, R. T. Mills, F. M. Hoffman, P. H. Worley, K. S. Pwerumalla, A. Mirin, G. E. Hammond, and B. Smith, Cray Users Group Conference, 2009. BibTeX

Engineering PFLOTRAN for Scalable Performance on Cray XT and IBM BlueGene Architectures, R. T. Mills, V. Sripathi, G. Mahinthakumar, G. Hammond, P. C. Lichtner, and B. F. Smith, Proceedings of SciDAC 2010 Annual Meeting, 2010. BibTeX

Victor Minden, Barry F. Smith, and Matthew G. Knepley, Preliminary Implementation of PETSc Using GPUs, Springer Berlin Heidelberg, 2013, GPU Solutions to Multi-scale Problems in Science and Engineering. BibTeX

Matthew G. Knepley and David A. Yuen, Why Scientists and Engineers need GPUs today, Springer Berlin Heidelberg, 2013, GPU Solutions to Multi-scale Problems in Science and Engineering. BibTeX

Dmitry A. Karpeev, Matthew G. Knepley, and Peter R. Brune, Accurate Evaluation of Local Averages on GPGPUs, Springer Berlin Heidelberg, 2013, GPU Solutions to Multi-scale Problems in Science and Engineering. BibTeX

Liang Zheng, Taras Gerya, Matthew G. Knepley, David A. Yuen, Huai Zhang, and Yaolin Shi, GPU Implementation of Multigrid Solver for Stokes Equation with Strongly Variable Viscosity, Springer Berlin Heidelberg, 2013, GPU Solutions to Multi-scale Problems in Science and Engineering. BibTeX

Implementation of a multigrid solver on GPU for Stokes equations with strongly variable viscosity based on Matlab and CUDA, Liang Zheng, Taras Gerya, Matthew G. Knepley, David A. Yuen, Huai Zhang, and Yaolin Shi, IJHPCA, 28, 1, 50--60, 2013. BibTeX

Encyclopedia of Parallel Computing, B. Smith, 2011. BibTeX

Computación cient\'ifica en paralelo con interfaz MATLAB a PETSc, Carlos D. Acosta and Carlos E. Mejía, Lecturas Matemáticas, 27, 213--224, 2006. BibTeX

Explaining StGermain: An aspect oriented environment for building extensible computational mechanics modeling software, Steve Quenette, Louis Moresi, P. D. Sunter, and Bill F. Appelbe, Parallel and Distributed Processing Symposium, IPDPS 2007, 1--8. BibTeX

Vectorized sparse matrix multiply for compressed row storage format, E. F. D'Azevedo, M. R. Fahey, and R. T. Mills, Lecture Notes in Computer Science, 3514, 99--106, 2005. BibTeX

The COOLFluiD Framework: Design Solutions for High Performance Object Oriented Scientific Computing Software, Andrea Lani, Tiago Quintino, Dries Kimpe, Herman Deconinck, Stefan Vandewalle, and Stefaan Poedts, Computational Science ICCS 2005: 5th International Conference, Lecture Notes in Computer Science, 2005. BibTeX

Desarrollo de Aplicaciones Paralelas en Python, L. Dalcin, R. Paz, and M. Storti, Proceedings of *XIV Congress on Numerical Methods and its Applications (ENIEF). Bariloche, Argentina, 2004. BibTeX

MPI for Python, L. Dalcin, R. Paz, and M. Storti, Journal of Parallel and Distributed Computing, 2005. BibTeX

SLEPc: Scalable Library for Eigenvalue Problem Computations, V. Hernandex, J. E. Roman, and V. Vidal, Submited to VecPar 2002, 2002. BibTeX

Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in Hypre and PETSc, Knyazev, A. V., Argentati, M. E., Lashuk, I., and Ovtchinnikov, E. E., SIAM Journal on Scientific Computing, 29, 2224-2239, 2007. BibTeX

Time Dependent Solution of the Schrodinger Equation for Parallel Computers, Asbjorn Hoiland Aarrestad, Implemented Runge-Kutta methods using PETSc, 2003. BibTeX

Performance Modeling and Prediction for the Scalable Solution of Partial Differential Equations on Unstructured Grids, D. K. Kaushik, 2002. BibTeX

Object Oriented Implementation of a General Finite Element Code, Rickard Bergstrom, Chalmers Finite Element Center, Chalmers University of Technology, 2002-13, Discribes a finite element software package that uses PETSc for its solvers, 2002. BibTeX

A Parallel General Purpose Finite Element System, Enzo A. Dari, Gustavo C. Buscaglia, and Adrian J. Lew, IX SIAM Conference on Parallel Processing for Scientific Computing, Describes software that uses PETSc for its parallel linear solves, 1999. BibTeX

Parallel Components for PDEs and Optimization: Some Issues and Experiences, B. Norris, S. Balay, S. Benson, L. Freitag, P. Hovland, L. McInnes, and B. Smith, Parallel Computing, 28 (12), 1811--1831, 2002. BibTeX

Making Automatic Differentiation Truly Automatic: Coupling PETSc with ADIC, Paul Hovland, Boyana Norris, and Barry Smith, Future Generation Computer Systems, 21, 8, 1426--1438, 2005. BibTeX

Remote Access to Mathematical Software, Elizabeth Dolan, Paul Hovland, Jorge Moré;, Boyana Norris, and Barry Smith, Mathematics and Computer Science Division, Argonne National Laboratory, ANL/MCS-P889-0601, 2001. BibTeX

Exploiting Existing Software in Libraries: Successes, Failures, and Reasons Why, William D. Gropp, Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable Scientific and Engineering Computing, 21-29, 1999. BibTeX

Algorithm Development for Large Scale Computing, Matthew Knepley and Vivek Sarin, Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable Scientific and Engineering Computing, http://books.google.com/books?id=2Da5OcnjPSgC&lpg=PA58&ots=TJCK64BUeg&dq=Bill%20Gropp%20Science%20Engineering%20Object%20Oriented&pg=PA138#v=onepage&q&f=false, 1999. BibTeX

CRPC Handbook of Parallel Computing, S. Balay, W. D. Gropp, L. C. McInnes, and B. F. Smith, 2002. BibTeX

Developing a Derivative-Enhanced Object-Oriented Toolkit for Scientific Computations, Paul Hovland, Boyana Norris, Lucas Roh, and Barry Smith, Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable Scientific and Engineering Computing, 129-137, also available as Argonne preprint ANL/MCS-P731-1098, 1999. BibTeX

Efficient Management of Parallelism in Object Oriented Numerical Software Libraries, Satish Balay, William D. Gropp, Lois Curfman McInnes, and Barry F. Smith, Modern Software Tools in Scientific Computing, E. Arge, A. M. Bruaset, and H. P. Langtangen, 163--202, 1997. BibTeX

PETSc Users Manual, Satish Balay, Shrirang Abhyankar, Mark F. Adams, Jed Brown, Peter Brune, Kris Buschelman, Lisandro Dalcin, Alp Dener, Victor Eijkhout, William D. Gropp, Dmitry Karpeyev, Dinesh Kaushik, Matthew G. Knepley, Dave~A. May, Lois Curfman McInnes, Richard Tran Mills, Todd Munson, Karl Rupp, Patrick Sanan, Barry F. Smith, Stefano Zampini, Hong Zhang, and Hong Zhang, Argonne National Laboratory, ANL-95/11 - Revision 3.15, 2021. BibTeX

PETSc Developers Guide, Scott Kruger, Patrick Sanan, and Barry F. Smith, Argonne National Laboratory, ANL-18/18, 2018. BibTeX

The ALICE Memory Snooper, Ibrahima Ba and Barry F. Smith, 1999. BibTeX

Rozwiazywanie ukladow rownan przy pomocy pakietu PETSc, Marcin Bojko and Piotr Krzyzanowski, Instytut Matematyki, Stosowanej i Mechaniki, Uniwersytet Warszawski, An introduction to PETSc in Polish, 1998. BibTeX

Integrating Automatic Differentiation with Object-Oriented Toolkits for High-Performance Scientific Computing, J. Abate, S. Benson, L. Grignon, P. Hovland, L. C. McInnes, and B. Norris, Automatic Differentiation of Algorithms: From Simulation to Optimization, George Corliss, Christèle Faure, Andreas Griewank, Laurent Hascoët, and Uwe Naumann, 2002. BibTeX

PETSc 2.0: A Case Study of Using MPI to Develop Numerical Software Libraries, Lois Curfman McInnes and Barry F. Smith, Proceedings of the MPI Developers Conference, Notre Dame, IN, 1995. BibTeX

Scalable, Extensible, and Portable Numerical Libraries, William D. Gropp and Barry F. Smith, Proceedings of the Scalable Parallel Libraries Conference, 87--93, 1994. BibTeX

Scalable Libraries for Solving Systems of Nonlinear Equations and Unconstrained Minimization Problems, William D. Gropp, Lois Curfman McInnes, and Barry F. Smith, Proceedings of the Scalable Parallel Libraries Conference, 60-67, 1995. BibTeX

The Design of Data-structure-neutral Libraries for the Iterative Solution of Sparse Linear Systems, Barry F. Smith and William D. Gropp, Scientific Programming, 5, 329--336, 1996. BibTeX

A Microkernel Design for Component-based Parallel Numerical Software Systems, Satish Balay, William D. Gropp, Lois Curfman McInnes, and Barry F. Smith, Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable Scientific and Engineering Computing, 58-67, 1998. BibTeX

A Comparison of the PETSc Library and HPF Implementations of an Archetypal PDE Computation, M. E. Hayder, D. E. Keyes, and P. Mehrotra, Advances in Engineering Software, 29, 415-424, 1998. BibTeX

Infrastructure and Interfaces for Large-Scale Numerical Software, L. A. Freitag, W. D. Gropp, P. D. Hovland, L. C. McInnes, and B. F. Smith, Mathematics and Computer Science Division, Argonne National Laboratory, ANL/MCS-P751-0599, to appear in the Proceedings of the 1999 International Conference on Parallel and Distributed Processing Techniques and Applications, June 28 - July 1, 1999, Las Vegas, Nevada, 1999. BibTeX

On Combining Computational Differentiation and Toolkits for Parallel Scientific Computing, C. H. Bischof, H. M. Bücker, and P. D. Hovland, Euro-Par 2000 -- Parallel Processing, Proceedings of the 6th International Euro-Par Conference, Munich, Germany, August/September 2000, A. Bode, T. Ludwig, W. Karl, and R. Wismüller, 86--94, 2000. BibTeX

PETSc and Overture: Lessons Learned Developing an Interface between Components, K. R. Buschelman, W. D. Gropp, L. C. McInnes, and B. F. Smith, Proceedings of the International Federation for Information Processing Working Conference on Software Architectures for Scientific Computing, Kluwer, 57--68, 2000. BibTeX

An Interface for Efficient Vector Scatters and Gathers on Parallel Machines, Barry F. Smith, Mathematics and Computer Science Division, Argonne National Laboratory, ANL/MCS-P701. BibTeX

The Transition of Numerical Software: From Nuts-and-Bolts to Abstraction, Barry Smith, SIGNUM Newsletter, 1998. BibTeX

Using ADIFOR and ADIC to Provide a Jacobian for the SNES Component of PETSc, Christian Bischof, Paul Hovland, and Po-Ting Wu, ANL, ANL/MCS-TM-233, 1997. BibTeX

Numerical Analysis of Nonlinear Boundary Integral Equations Arising in Molecular Biology, Thomas S. Klotz, 2019. BibTeX

Efficient Evaluation of Ellipsoidal Harmonics for Potential Modeling, Thomas S. Klotz, Jaydeep Bardhan, and Matthew G. Knepley, Communications in Applied Mathematics and Computational Science, In review, 2018. BibTeX

Threading Tradeoffs in Domain Decomposition, Jed Brown, SIAM Parallel Processing Conference, To Thread or Not To Thread Minisymposium, https://www.cse.buffalo.edu/ knepley/presentations/SIAMPP2016_1.pdf, 2016. BibTeX

A performance spectrum for parallel computational frameworks that solve PDEs, Justin Chang, Kalyana B. Nakshatrala, Matthew G. Knepley, and Lennart Johnsson, Concurency: Practice and Experience, 30, 11, 2017. BibTeX

Comparative study of finite element methods using the Time-Accuracy-Size (TAS) spectrum analysis, Justin Chang, Maurice S. Fabien, Matthew G. Knepley, and Richard T. Mills, SIAM Journal on Scientific Computing, 40, 6, C779--C802, 2018. BibTeX

Composable solvers for the four-field double porosity/permeability model, M. S. Joshaghani, Justin Chang, Kalyana B. Nakshatrala, and Matthew G. Knepley, Journal of Computational Physics, 386, 428--466, 2019. BibTeX

Anisotropic mesh adaptation in Firedrake with PETSc DMPlex, Nicolas Barral, Matthew G. Knepley, Michael Lange, Matthew D. Piggott, and Gerard J. Gorman, 25th International Meshing Roundtable, Steve Owen and Hang Si, 1--5, 2016. BibTeX

Segmental Refinement: A Multigrid Technique for Data Locality, Mark F. Adams, Jed Brown, Matthew G. Knepley, and Ravi Samtaney, SIAM Journal on Scientific Computing, 8, 4, C426--C440, 2016. BibTeX

Extreme-Scale Multigrid Components within PETSc, Dave A. May, Patrick Sanan, Karl Rupp, Matthew G. Knepley, and Barry F. Smith, Proceedings of the Platform for Advanced Scientific Computing Conference, 5:1--5:12, 2016. BibTeX

Field-Split Preconditioned Inexact Newton Algorithms, Lulu Liu and David E Keyes, SIAM Journal on Scientific Computing, 37, 3, A1388--A1409, 2015. BibTeX

A hybrid geometric+ algebraic multigrid method with semi-iterative smoothers, Cao Lu, Xiangmin Jiao, and Nikolaos Missirlis, Numerical Linear Algebra with Applications, 21, 2, 221--238, 2014. BibTeX

Enhanced balancing Neumann-Neumann preconditioning in computational fluid and solid mechanics, Santiago Badia, Alberto F. Martín, and Javier Principe, International Journal for Numerical Methods in Engineering, 96, 4, 203--230, 2013. BibTeX

A Stochastic Performance Model for Pipelined Krylov Methods, Hannah Morgan, Matthew G. Knepley, Patrick Sanan, and L. Ridgway Scott, Concurrency and Computation: Practice and Experience, 28, 4532--4542, 2016. BibTeX

Understanding performance variability in standard and pipelined parallel Krylov solvers, Hannah Morgan, Patrick Sanan, Matthew G. Knepley, and Richard Tran Mills, The International Journal of High Performance Computing Applications, 35, 2020. BibTeX

Efficient Sparse Matrix-Matrix Products Using Colorings, M. McCourt, B. F. Smith, and H. Zhang, SIAM Journal on Matrix Analysis and Applications, To appear, 2015. BibTeX

Agglomeration-based physical frame dG discretizations: An attempt to be mesh free, Bassi, Francesco, Botti, Lorenzo, and Colombo, Alessandro, Mathematical Models and Methods in Applied Sciences, 24, 08, 1495--1539, 2014. BibTeX

Multiscale modeling using goal-oriented adaptivity and numerical homogenization. Part II: Algorithms for the Moore-Penrose pseudoinverse, Jhurani, C. and Demkowicz, L., Computer Methods in Applied Mechanics and Engineering, 213, 418-426, 2012. BibTeX

Parallel Two-Grid Semismooth Newton-Krylov-Schwarz Method for Nonlinear Complementarity Problems, Yang, Haijian and Cai, Xiao-Chuan, J. Sci. Comput., 47, 2, 258--280, 2011. BibTeX

Parallel Iterative Substructuring in Structural Mechanics, Rheinbach, Oliver, Archives of Computational Methods in Engineering, 16, 4, 425-463, 2009. BibTeX

Finite Element Integration on GPUs, Matthew G. Knepley and Andy R. Terrel, ACM Transactions on Mathematical Software, 39, 2, no. 10, http://arxiv.org/abs/1103.0066, 2013. BibTeX

Finite Element Integration with Quadrature on the GPU, Matthew G. Knepley, Karl Rupp, and Andy R. Terrel. BibTeX

Nonlinear FETI-DP and BDDC Methods, Axel Klawonn, Martin Lanser, and Oliver Rheinbach, SIAM Journal on Scientific Computing, 36, 2, A737--A765, 2014. BibTeX

Composing Scalable Nonlinear Algebraic Solvers, Peter R. Brune, Matthew G. Knepley, Barry F. Smith, and Xuemin Tu, Argonne National Laboratory, ANL/MCS-P2010-0112, 2013. BibTeX

Composing Scalable Nonlinear Algebraic Solvers, Peter R. Brune, Matthew G. Knepley, Barry F. Smith, and Xuemin Tu, SIAM Review, 57, 4, 535--565, http://www.mcs.anl.gov/papers/P2010-0112.pdf, 2015. BibTeX

Hierarchical Krylov and nested Krylov methods for extreme-scale computing, Lois Curfman McInnes, Barry Smith, Hong Zhang, and Richard Tran Mills, Parallel Computing, 40, 17--31, 2014. BibTeX

Hierarchical Krylov and Nested Krylov Methods for Extreme-Scale Computing, Lois Curfman McInnes, Barry Smith, Hong Zhang, and Richard Tran Mills, Argonne National Laboratory, ANL/MCS-P2097-0512, 2012. BibTeX

Composable linear solvers for multiphysics, Jed Brown, Matthew G. Knepley, David A. May, Lois C. McInnes, and Barry F. Smith, Proceeedings of the 11th International Symposium on Parallel and Distributed Computing (ISPDC 2012), 55--62, 2012. BibTeX

Optimal Partitions for Eigenvalues, Blaise Bourdin, D. Bucur, and E. Oudet, SIAM J. Sci. Comput., 31, 6, 4100--4114, 2009. BibTeX

Numerical implementation of overlapping balancing domain decomposition methods on unstructured meshes, J.-H. Kimn and Blaise Bourdin, 55, 2007. BibTeX

A Technique for Accelerating the Convergence of Restarted GMRES, AH Baker, ER Jessup, and T Manteuffel, SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2005. BibTeX

A parallel geometric multigrid method for finite elements on octree meshes, R.S. Sampath and G. Biros. BibTeX

Bottom-up construction and 2:1 balance refinement of linear octrees in parallel, H. Sundar, R.S. Sampath, and G. Biros, SIAM Journal on Scientific Computing, 2008. BibTeX

Low-constant parallel algorithms for finite element simulations using linear octrees, H. Sundar, R.S. Sampath, S.S. Adavani, C. Davatzikos, and G. Biros, SC'07: ACM/IEEE Conference on Supercomputing, 2007. BibTeX

A Parallel Maximal Independent Set Algorithm, Adams, Mark  F., Proceedings 5th copper mountain conference on iterative methods, 1998. BibTeX

Dynamic data-driven inversion for terascale simulations: real-time identification of airborne contaminants, Ak\ccelik, V., Biros, G., Draganescu, A., Hill, J., Ghattas, O., and van Bloemen Waanders, B., Proceedings of the 2005 ACM/IEEE conference on Supercomputing, 2005. BibTeX

Frontiers of Parallel Computing, V. Akcelik, G. Biros, Omar Ghattas, J. Hill, David Keyes, and B. van Bloemen Waanders, 2006. BibTeX

Using Distributed Computers to Deterministically Approximate Higher Dimensional Convection Diffusion Equations, Matthew F. Dixon and C. J. Kenneth Tan, The Journal of Supercomputing, 28, 235--253, 2004. BibTeX

Some Parallel Linear and Nonlinear Schwarz Methods with Applications in Computational Fluid Dynamics, Feng-Nan Hwang, 2004. BibTeX

On improving the performance of the linear solver restarted GMRES, A. H. Baker, 2003. BibTeX

A Parallel Implementation of Dual-Primal FETI-DP Methods for Three Dimensional Linear Elasticity Using a Transformation of Basis, Axel Klawonn and Oliver Rheinbach, Universität Duisburg-Essen, SM-E-601, 2005. BibTeX

Inexact FETI-DP Methods, Axel Klawonn and Oliver Rheinbach, Universität Duisburg-Essen, SM-E-609, 2005. BibTeX

Robust FETI-DP Methods for Heterogeneous Three Dimensional Elasticity Problems, Axel Klawonn and Oliver Rheinbach, Universität Duisburg-Essen, SM-E-607, 2005. BibTeX

Performance of a parallel mixed finite element implementation for fourth order clamped anisotropic plate bending problems in distributed memory environments, Kshitij Kulshreshtha, Neela Nataraj, and Michael Jung, Applied Mathematics and Computation, 155, 3, 753--777, 2004. BibTeX

Using Exact Jacobians in an Implicit Newton-Krylov Method, F. D. Bramkamp, H. M. Bücker, and A. Rasch, Computers & Fluids, 35, 10, 1063--1073, 2006. BibTeX

An explicit expression for the penalty parameter of the interior penalty method, Khosro Shahbazi, Journal of Computational Physics, 205, 401--407, 2005. BibTeX

A Parallel Lanczos Algorithm for Eigensystem Calculation, Hans-Peter Kersken and Uwe Kuster, University of Stuttgart, 310, 1999. BibTeX

A component decomposition preconditioning for 3D stress analysis problems, M. D. Mihajlovi and S. Mijalkovi, Numerical Linear Algebra with Applications, 9, 567--583, 2002. BibTeX

Numerical experiments with parallel orderings for ILU preconditioners, M Benzi, W Joubert, and G Mateescu, Electronic Transactions on Numerical Analysis, 8, 88--114, 1999. BibTeX

Fast, High-Order Methods for Scattering by Inhomogeneous Media, EMK Hyde, 2003. BibTeX

Parallel Solution of Stochastic PDEs, A. Keese and H. G. Matthies, Proceedings in Applied Mathematics and Mechanics, 2, 485--486, 2003. BibTeX

Fast parallel algorithms for a broad class of nonlinear variational diffusion approaches, Joachim Weickert, Josef Heers, Christoph Schnorr, Karel J. Zuiderveld, Otmar Scherzer, and H. Siegfried Stiehl, Real Time Imaging, 7, 31--45, 2001. BibTeX

An Efficient Block Variant of GMRES, A. H. Baker, J. M. Dennis, and E. R. Jessup, University of Colorado, Boulder, CU-CS-957-03, 2003. BibTeX

Parallel Performance of Some Two-Level ASPIN Algorithms, Leszek Marcinkowski and Xiao-Chuan Cai, Proceedings of the 15th International Conference on Domain Decomposition Methods, 639--646, 2003. BibTeX

A Domain Decomposition Based Two-Level Newton Scheme for Nonlinear Problems, Deepak V. Kulkarni and Daniel A. Tortorelli, Proceedings of the 15th International Conference on Domain Decomposition Methods, 615--622, 2003. BibTeX

Some Computational Results for Dual-Primal FETI Methods for Elliptic Problems in 3D, Axel Klawonn, Oliver Rheinbach, and Olof B. Widlund, Proceedings of the 15th International Conference on Domain Decomposition Methods, 361--368, 2003. BibTeX

Improving Robustness and Parallel Scalability of Newton's Method Through Nonlinear Preconditioning, Feng-Nan Hwang and Xiao-Chuan Cai, Proceedings of the 15th International Conference on Domain Decomposition Methods, 201--208, 2003. BibTeX

Balancing Neumann-Neumann for (In)Compressible Linear Elasticity and (Generalized) Stokes and Parallel Implementation, P. Goldfeld, Proceedings of the 14th International Conference on Domain Decomposition Methods, I. Herrera, D. Keyes, O. Widlund, and R. Yates, 209--216, 2003. BibTeX

Toward scalable FETI algorithm for variational inequalities with applications to composites, Zdenek Dostal, David Horak, and Oldrich Vlach, Proceedings of the 14th International Conference on Domain Decomposition Methods, I. Herrera, D. Keyes, O. Widlund, and R. Yates, 395--401, 2003. BibTeX

Scalabilities of FETI for variational inequalities and contact shape optimization, Zdenek Dostal, David Horak, Jan Szweda, and Vit Vondrak, Proceedings of the 13th International Conference on Domain Decomposition Methods, N. Debit, M.Garbey, R. Hoppe, J. Periaux, D. Keyes, and Y. Kuznetsov, 359--367, 2002. BibTeX

A Nonlinear Additive Schwarz Preconditioned Inexact Newton Method for Shocked Duct Flows, Xiao-Chuan Cai, David E. Keyes, and David P. Young, Proceedings of the 13th International Conference on Domain Decomposition Methods, N. Debit, M.Garbey, R. Hoppe, J. Periaux, D. Keyes, and Y. Kuznetsov, 343--350, 2002. BibTeX

Multiplicative-additive preconditioning combination for general sparse linear systems, Li, Z., Lanteri S., and Saad, Y., 2003. BibTeX

Hessian-based model reduction for large-scale systems with initial-condition inputs, Bashir, O., Willcox, K., Ghattas, O., van Bloemen Waanders, B., and Hill, J., International journal for numerical methods in engineering, 73, 6, 844--868, 2008. BibTeX

Hessian-Based Model Reduction for Large-Scale Data Assimilation Problems, Bashir, O., Ghattas, O., Hill, J., van Bloemen Waanders, B., and Willcox, K., Computational Science--ICCS 2007, 1010--1017, 2007. BibTeX

Fast algorithms for Bayesian uncertainty quantification in large-scale linear inverse problems based on low-rank partial Hessian approximations, Ak\ccelik, V., Flath, H.P., Ghattas, O., Hill, J., van Bloemen Waanders, B., and Wilcox, L., SIAM Journal on Scientific Computing, 33, 1, 2011. BibTeX

Model Reduction for Large Scale Applications in Microsystem Technology, Abul K. M. Fahimuddin and Heike Fassbender, Proceedings of the 2004 SIAM Parallel Processing Conference, 2003. BibTeX

Parallel Computation of a Fully Implicit Finite Volume Method Using Different Ordering Strategies, Masoud Darbandi, Gerry E. Schneider, and Seyed Mehi Bostandoost, Proceedings of AIAA Conference, Reno, Nevada, 2004. BibTeX

A Comparative Study of Preconditioned Methods for Solving Fully Coupled Fluid Flow Equations, Masoud Darbandi, Gerry E. Schneider, and Soheyl Vakili, The 13th Annual Conference on Computational Fluid Dynamics, 2005. BibTeX

The Employment of Algebraic Multigrid as a Preconditioner to Solve Fully Implicit Mixed Convection Equations, Masoud Darbandi, Soheyl Vakili, and Gerry E. Schneider, The 44th AIAA Aerospace Sciences Meeting and Exhibit, 2006. BibTeX

Using Different Preconditioned Krylov Subspace Methods to Solve Coupled Fluid Flow Equations, Masoud Darbandi, Gerry E. Schneider, and Soheyl Vakili, Computational Fluid Dynamics, 15, 1, 2006. BibTeX

An Algebraic Multilevel Preconditioner for Field-Circuit Coupled Problems, Lahaye, D., Vandewalle, S., and Hameyer, K., J. Comput. Appl. Math., 168, 267--275, 2004. BibTeX

Faster PDE-based Simulations Using Robust Composite Linear Solvers, S. Bhowmick, P. Raghavan, L. McInnes, and B. Norris, ANL, ANL/MCS-P993-0902, To appear in Future Generation Computer Systems, 2002. BibTeX

Adaptive Sparse Linear Solvers for Implicit CFD Using Newton-Krylov Algorithms, L. McInnes, B. Norris, S. Bhowmick, and P. Raghavan, Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics, 2003. BibTeX

The Role of Multi-Method Linear Solvers in PDE-based Simulations, S. Bhowmick, L. McInnes, B. Norris, and P. Raghavan, Proceedings of the 2003 International Conference on Computational Science and its Applications, Lecture notes in Computer Science 2677, V. Kumar, M. L. Gavrilova, C. J. K. Tan, and P. L'Ecuyer, 828--839, 2003. BibTeX

Newton-Krylov-FAC Methods for Problems Discretized on Locally Refined Grids, M. Pernice and R. D. Hornung, Computing and Visualization in Science, 2003. BibTeX

Parallel multigrid smoothing: polynomial versus Gauss--Seidel, Adams, M. F., Brezina, M., Hu, J. J., and Tuminaro, R. S, J. Comp. Phys., 188, 2, 593-610, 2003. BibTeX

A distributed memory unstructured Gauss-Seidel algorithm for multigrid smoothers, Adams, M.F., Supercomputing, ACM/IEEE 2001 Conference, 14--14, 2001. BibTeX

Static and Dynamic Graph Partitioning. A comparative study of existing algorithms, Ulrich Elsner, 2002. BibTeX

Pseudo-Transient Continuation and Differential-Algebraic Equations, Todd S. Coffey, C. T. Kelley, and David E. Keyes, ODU, Submitted to the special issue of the SIAM Journal of Scientific Computing dedicated to papers from the 2002 Copper Mountain Conference on Iterative Methods, 2002. BibTeX

Balancing Neumann-Neumann Preconditioners for Mixed Approximations of Heterogeneous Problems in Linear Elasticity, Paulo Goldfeld, Luca F. Pavarino, and Olof B. Widlund, Numerische Mathematik, 95, 283--324, 2003. BibTeX

Scalability and FETI based algorithm for large discretized variational inequalities, Z Dostal and D Horak, Mathematics and Computers in Simulation, 61, 347--357, 2003. BibTeX

36 Scalabilities of FETI for Variational Inequalities and Contact Shape Optimization, Zdenek Dostal, David Horak, Jan Szweda, and Vit Vondrak, Proceedings of the 13th International Conference on Domain Decomposition Methods, N. Debit, M. Garbey, R. Hoppe, J. Periaus, D. Keyes, and Y. Kuznetsov. BibTeX

An Algebraic Multilevel Preconditioner for Field-Circuit Coupled Problems, Domenico Lahaye, S. Vandewalle, and K. Hameyer, IEEEMAGN, 38, 2, 413-416, 2002. BibTeX

Nonlinear additive Schwarz preconditioners and applications in computational fluid dynamics, X.-C. Cai, D. E. Keyes, and L. Marcinkowski, International Journal of Numerical Methods in Fluid Mechanics, 40, 1463--1470, 2002. BibTeX

A nonlinear additive Schwarz preconditioned inexact Newton method for shocked duct flow, X.-C. Cai, D. E. Keyes, and D. P. Young, Proceedings of the 13th International Conference on Domain Decomposition Methods, N. Debit, M. Garbey, R. Hoppe, J. Periaus, D. Keyes, and Y. Kuznetsov, 2002. BibTeX

Nonlinearly preconditioned inexact Newton algorithms, X.-C. Cai and D. E. Keyes, SIAM J. Sci. Comput., 24, 183--200, 2002. BibTeX

A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations, Feng-Nan Hwang and X.-C. Cai, Journal of Computational Physics, 204, 666--691, 2005. BibTeX

A Class of Parallel Two-Level Nonlinear Schwarz Preconditioned Inexact Newton Algorithms, Feng-Nan Hwang and X.-C. Cai, Computer Methods in Applied Mechanics and Engineering, 196, 1603--1611, 2006. BibTeX

A Distributed Memory Unstructured Gauss-Seidel Algorithm for Multigrid Smoothers, Mark F. Adams, ACM/IEEE Proceedings of SC2001: High Performance Networking and Computing, 2001. BibTeX

Algebraic Multigrid for Two Dimensional Time-Harmonic Magnetic Field Computations, Domenico Lahaye, Katholieke Universiteit Leuven, 2001. BibTeX

Parallel Multigrid Solvers for 3D Unstructured Finite Element Problems in Large Deformation Elasticity and Plasticity, Adams, M. F., International Journal for Numerical Methods in Engineering, 48, 8, 1241-1262, 2000. BibTeX

Evaluation of Three Unstructured Multigrid Methods on 3D Finite Element Problems in Solid Mechanics, Adams, M. F., International Journal for Numerical Methods in Engineering, 55, 1, 519-534, 2002. BibTeX

Algebraic Multigrid for Complex Symmetric Systems, Domenico Lahaye, De Gersem, H., Vandewalle, S., and Hameyer, K., IEEEMAGN, 36, 4, 1535--1538, 2000. BibTeX

Parallel Multigrid Solver Algorithms and Implementations for 3D Unstructured Finite Element Problems, Mark F. Adams and J. Demmel, Proceedings of SC99: High Performance Networking and Computing, 1999. BibTeX

Overlapping Schwarz Methods on Unstructured Meshes using Non-matching Coarse Grids, T. Chan, B. Smith, and J. Zou, Numer. Math., 73, 149--167, 1995. BibTeX

A Parallel Maximal Independent Set Algorithm, Mark F. Adams and James Demmel, University of California, Berkeley, CSD-98-993, 1998. BibTeX

An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term, Axel Klawonn, New York University, TR1994-676, 1994. BibTeX

Preconditioners for Indefinite Problems, Axel Klawonn, Westfalishen Wilhelms-Universitat Munster, 1995. BibTeX

Flexible Representation of Computational Meshes, Matthew G. Knepley and Dmitry A. Karpeev, Argonne National Laboratory, ANL/MCS-P1295-1005, ftp://info.mcs.anl.gov/pub/tech_reports/reports/P1295.pdf, 2005. BibTeX

Mesh Algorithms for PDE with Sieve I: Mesh Distribution, Matthew G. Knepley and Dmitry A. Karpeev, Argonne National Laboratory, ANL/MCS-P1455-0907, ftp://info.mcs.anl.gov/pub/tech_reports/reports/P1455.pdf, 2007. BibTeX

Mesh Algorithms for PDE with Sieve I: Mesh Distribution, Matthew G. Knepley and Dmitry A. Karpeev, Scientific Programming, 17, 3, 215--230, http://arxiv.org/abs/0908.4427, 2009. BibTeX

Computing the First Eigenpair of the p-Laplacian via Inverse Iteration of Sublinear Supersolutions, Biezuner, Rodney, Brown, Jed, Ercole, Grey, and Martins, Eder, Journal of Scientific Computing, 52, 180--201, 2012. BibTeX

Computational Science I, Matthew G. Knepley, PETSc, https://www.cse.buffalo.edu/ knepley/classes/caam519/CSBook.pdf, 2017. BibTeX

User friendly permeability predicting software for technical textiles, Verleye, B., Morren, G., Lomov, S.V., Sol, H., Verpoest, I., and Roose, D., status: published. BibTeX

Parallel Programming with MPI, Peter Pacheco, Morgan-Kaufmann, Devotes a couple of sections to PETSc, 1997. BibTeX

Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations, Barry F. Smith, Petter Bjørstad, and William D. Gropp, Cambridge University Press, 1996. BibTeX

PETSc-FEM: A General Purpose, Parallel, Multi-physics FEM Program, M. Storti, N. Nigro, R. Paz, L. Dalcin, E. Lopez, L. Battaglia, G. Rodriguez, and G. Filippini. BibTeX

PETSc for Python -- Python bindings for PETSc libraries, Lisandro Dalcin, http://code.google.com/p/petsc4py/. BibTeX

libMesh: A C++ Library for Parallel Adaptive Mesh Refinement/Coarsening Simulations, B. S.~Kirk, J.~W.~Peterson, R.~H.~Stogner, and G.~F.~Carey, Engineering with Computers, 22, 3--4, 237--254, 2006. BibTeX

SISIPHUS: Scalable Ice-Sheet Solvers and Infrastructure for Petascale, High-Resolution, Unstructured Simulations, T. Tautges et al.. BibTeX

PFLOTRAN project, Ben Andre, Gautam Bisht, Nathan Collier, Glenn Hammond, Satish Karra, Jitendra Kumar, Peter Lichtner, and Richard Mills. BibTeX

PISM: A Parallel Ice Sheet Model, E. Bueler et al.. BibTeX

Dohp: Dual order hp-finite elements, J. Brown. BibTeX

Improving parallel scalability for edge plasma transport simulations with neutral gas species, M. McCourt, T. D. Rognlien, L. C. McInnes, and H. Zhang, Computational Science and Discovery, 5, 014012, Focus on 22nd International Conference on Numerical Simulations of Plasmas (ICNSP 2011), 2012. BibTeX

PetClaw Software, Kyle T. Mandli, David I. Ketcheson, Amal Alghamdi, and Aron Ahmadia, 2011. BibTeX

PyClaw software, Kyle T. Mandli, David I. Ketcheson, and others, 2012. BibTeX

High-order wave propagation algorithms for general hyperbolic systems, Ketcheson, David I., Parsani, Matteo, and LeVeque, Randall J., submitted, 2011. BibTeX

{Parallel Lagrange-Newton-Krylov-Schur methods for PDE constrained optimization. Part I: The Krylov-Schur solver}, Biros, G. and Ghattas, O., SIAM Journal on Scientific Computing, 27, 2, 687--713, 2005. BibTeX

Parallel Lagrange-Newton-Krylov-Schur methods for PDE-constrained optimization. Part II: The Lagrange Newton solver, and its application to optimal control of steady viscous flows, Biros, G. and Ghattas, O., SIAM Journal on Scientific Computing, 27, 2, 714--739, 2005. BibTeX

Ice Sheet System Model, Eric Larour, Mathieu Morlighem, and Helene Seroussi, \hrefhttp://issm.jpl.nasa.govissm.jpl.nasa.gov, 2010. BibTeX

Spatial patterns of basal drag inferred using control methods from a full-Stokes and simpler models for Pine Island Glacier, West Antarctica, Morlighem, M., Rignot, E., Seroussi, H., Larour, E., Dhia, H.B., and Aubry, D., Geophysical Research Letters, 37, 14, L14502, 2010. BibTeX

Multiple timescale calculations of sawteeth and other global macroscopic dynamics of tokamak plasmas, S. C. Jardin, N. Ferraro, J. Breslau, and J. Chen, Computational Science & Discovery, 5, 1, 2012. BibTeX

Analysis and Practical Use of Flexible BiCGStab, Jie Chen, Lois Curfman McInnes, and Hong Zhang, Journal of Scientific Computing, 68, 803--825, Also preprint ANL/MCS-P3039-0912, 2016. BibTeX

Achieving High Performance with Unified Residual Evaluation, Knepley, M. G., Brown, J., Rupp, K., and Smith, B.~F., ArXiv e-prints, 2013. BibTeX

Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book, Anders Logg, Kent-Andre Mardal, Garth Wells, Springer, 2012. BibTeX

Programming CUDA and OpenCL: A Case Study Using Modern C++ Libraries, Demidov, D., Ahnert, K., Rupp, K., and Gottschling, P., ArXiv e-prints, 2012. BibTeX

ViennaCL - A High Level Linear Algebra Library for GPUs and Multi-Core CPUs, Rupp, K., Rudolf, F., and Weinbub, J., Intl. Workshop on GPUs and Scientific Applications, 51-56, 2010. BibTeX

Exascale Computing without Threads, Matthew G. Knepley, Jed Brown, Lois Curfman McInnes, Barry Smith, Karl Rupp, and Mark Adams, Whitepaper for the DOE High Performance Computing Operational Review (HPCOR) on Scientific Software Architecture for Portability and Performance, 2015. BibTeX

Overview of the PETSc Library, Matthew G. Knepley, Jed Brown, Lois Curfman McInnes, Barry Smith, Karl Rupp, and Mark Adams, Whitepaper for the DOE High Performance Computing Operational Review (HPCOR) on Scientific Software Architecture for Portability and Performance, 2015. BibTeX

Software Engineering for Science, Satish Balay, Jed Brown, Matthew G. Knepley, Lois McInnes, and Barry Smith, 2015. BibTeX

On The Evolution Of User Support Topics in Computational Science and Engineering Software, Karl Rupp, Satish Balay, Jed Brown, Matthew G. Knepley, Lois Curfman McInnes, and Barry F. Smith, ArXiv e-prints, Whitepaper for Computational Science & Engineering Software Sustainability and Productivity Challenges, 2015. BibTeX

Accurately Citing Software and Algorithms Used in Publications, Knepley, Matthew G., Brown, Jed, McInnes, Lois Curfman, and Smith, Barry F., First Workshop on Sustainable Software for Science: Practice and Experiences (WSSSPE), held at SC13, 2013. BibTeX

Package Management Practice Essential for Interoperability: Lessons Learned and Strategies Developed for FASTMath, Mark C. Miller, Lori Diachin, Satish Balay, Lois Curfman McInnes, and Barry Smith, First Workshop on Sustainable Software for Science: Practice and Experiences (WSSSPE), held at SC13, 2013. BibTeX

Improved Nonlinear Solvers in BOUT++, Ben Dudson, Sean Farley, and Lois Curfman McInnes, Argonne National Laboratory, ANL/MCS-P3025-0812, 2012. BibTeX

Scalable Repository Workflows, J. Brown, whitepaper submitted to DOE Workshop on Software Productivity for Extreme-Scale Science, available via http://www.orau.gov/swproductivity2014/papers.htm, 2013. BibTeX

Star forests as a parallel communication model, Jed Brown, 2011. BibTeX

Run-time Extensibility: Anything Less is Unsustainable, J. Brown, M. Knepley, and B. Smith, whitepaper submitted to DOE Workshop on Software Productivity for Extreme-Scale Science, available via http://www.orau.gov/swproductivity2014/papers.htm, 2013. BibTeX

Predicting band structure of 3D mechanical metamaterials with complex geometry via XFEM, J. Zhao, Y. Li, and W.K. Liu, Computational Mechanics, 2015. BibTeX

Compaction around a rigid, circular inclusion in partially molten rock, L. Alisic, J.F. Rudge, R.F. Katz, G. Wells, and S. Rhebergen, J. Geophys. Res., 119, 7, 5903-5920, 2014. BibTeX

Analysis of block preconditioners for models of coupled magma mantle dynamics, S. Rhebergen, G. Wells, R.F. Katz, and A. Wathen, SIAM J. Sci. Comp., 36, 4, 1960-1977, 2014. BibTeX

Pipe Poiseuille flow of viscously anisotropic, partially molten rock, J. Allwright and R.F. Katz, Geophys. J. Int., 199, 3, 1608--1624, 2014. BibTeX

Update on libraries for Blue Waters, William D. Gropp, 2010. BibTeX

Pipelined, Flexible Krylov Subspace Methods, P. Sanan, S.M. Schnepp, and D.A. May, SIAM Journal on Scientific Computing, 38, 5, C441-C470, 2016. BibTeX

DMSwarm: Particles in PETSc, Dave A May and Matthew G Knepley, EGU General Assembly Conference Abstracts, 10133, 2017. BibTeX

Low-communication techniques for extreme-scale multilevel solvers, Mark F. Adams, Jed Brown, and Matthew G. Knepley, Exascale Mathematics Workshop, Aug 21--22, Washington, DC, 2013. BibTeX

Scalable smoothing strategies for a geometric multigrid method for the immersed boundary equations, Amneet Pal Singh Bhalla, Boyce E. Griffith, Matthew G. Knepley, Mark F. Adams, and Robert D. Guy, Advances in Computational Mathematics, In review, 2017. BibTeX

PCBDDC: a class of robust dual-primal methods in PETSc, Zampini, Stefano, SIAM Journal on Scientific Computing, 38, 5, S282--S306, 2016. BibTeX

An overlapping Domain Decomposition preconditioning method for monolithic solution of shear bands, Luc Berger-Vergiat and Haim Waisman, Computer Methods in Applied Mechanics and Engineering, 318, 33--60, 2017. BibTeX

PETSc DMNetwork: A Library for Scalable Network PDE-Based Multiphysics Simulations, S. Abhyankar, G. Betrie, D.A. Maldonado, L.C. McInnes, B. Smith, and H. Zhang, ACM Transactions on Mathematical Software, 46, 1, 2020. BibTeX

Vectorized Parallel Sparse Matrix-Vector Multiplication in PETSc Using AVX-512, Hong Zhang, Richard T. Mills, Karl Rupp, and Barry F. Smith, Argonne National Laboratory, ANL/MCS-P9058-0418, submitted to the International Conference on Parallel Processing (ICPP) 2018, 2018. BibTeX

PETSc User Meetings. BibTeX

Analysis and Practical Use of Flexible BiCGStab, J. Chen, L.C. McInnes, and H. Zhang, Journal of Scientific Computing, 68, 2, 803--825, 2016. BibTeX

Extensibility in PETSc, M. Knepley, D. A. May, J. Brown, and B. Smith, SIAM News, available via https://sinews.siam.org/Details-Page/extensibility-in-petsc, 2016. BibTeX

End-to-end error estimation and control, E. Constantinescu, O. Marin, T. Munson, B. Smith, and H. Zhang, whitepaper for 2017 ASCR Applied Mathematics PI Meeting, 2017. BibTeX

On the Evolution of User Support Topics in Computational Science and Engineering Software, K. Rupp, S. Balay, J. Brown, M. Knepley, L. C. McInnes, and B. Smith, Workshop on CSE Software Sustainability and Productivity (CSESSP) Challenges, Oct 15-16, 2015, 2015. BibTeX

Numerical Library Support for High-Performance Mixed Language Applications and Legacy Code, S. Balay, J. Brown, M. Knepley, L.C. McInnes, and B. Smith, 2016. BibTeX

A Parallel Solver for Graph Laplacians, Tristan Konolige and Jed Brown, Proceedings of the Platform for Advanced Scientific Computing (PASC), Best Paper Award, 2018. BibTeX

Parallel implementation of AC optimal power flow and time-constrained optimal power flow using high-performance computing, Alex Werner, Kapil Duwadi, Nicholas Stegmeier, Timothy M. Hansen, and Jung-Han Kimn, IEEE 9th Annual Computing and Communication Workshop and Conference (CCWC 2019), Best Paper in Track, 2019. BibTeX

Newton–Krylov–Schwarz Methods for Distributed Power Flow and Related Applications, Stefano Guido Rinaldo and Andrea Ceresoli, 2018. BibTeX

Pipelined, Flexible Krylov Subspace Methods, P. Sanan, S. M. Schnepp, and D. A. May, SIAM Journal on Scientific Computing, 38, 5, C441-C470, 2016. BibTeX