TS

petsc-3.7.3 2016-08-01

TS

pseudo-timestepping Solves the time independent Bratu problem using pseudo-timestepping.

pseudo-timestepping
Solves the time dependent Bratu problem using pseudo-timestepping

nonlinear problems Solves the time independent Bratu problem using pseudo-timestepping.

nonlinear problems
Solves the time dependent Bratu problem using pseudo-timestepping

time-dependent nonlinear problems Solves the van der Pol equation.
Input parameters include:
-mu : stiffness parameter

time-dependent nonlinear problems Performs adjoint sensitivity analysis for the van der Pol equation.
Input parameters include:
-mu : stiffness parameter

time-dependent nonlinear problems Solves an ODE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation.
Input parameters include:
-mu : stiffness parameter

time-dependent nonlinear problems Solves an ODE-constrained optimization problem -- finding the optimal stiffness parameter for the van der Pol equation.
Input parameters include:
-mu : stiffness parameter

time-dependent nonlinear problems Solves the van der Pol DAE.
Input parameters include:

time-dependent nonlinear problems Solves a time-dependent nonlinear PDE. Uses implicit
timestepping. Runtime options include:
-M <xg>, where <xg> = number of grid points
-debug : Activate debugging printouts
-nox : Deactivate x-window graphics

time-dependent nonlinear problems Solves the van der Pol equation.
Input parameters include:

time-dependent nonlinear problems Performs adjoint sensitivity analysis for the van der Pol equation.

time-dependent nonlinear problems Solves a DAE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation.

time-dependent nonlinear problems Solves the van der Pol equation.
Input parameters include:

time-dependent nonlinear problems Solves a time-dependent nonlinear PDE with lower and upper bounds on the interior grid points. Uses implicit
timestepping. Runtime options include:
-M <xg>, where <xg> = number of grid points
-debug : Activate debugging printouts
-nox : Deactivate x-window graphics
-ul : lower bound
-uh : upper bound

time-dependent linear problems Solves a simple time-dependent linear PDE (the heat equation).
Input parameters include:
-m <points>, where <points> = number of grid points
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
-debug : Activate debugging printouts
-nox : Deactivate x-window graphics

heat equation Solves a simple time-dependent linear PDE (the heat equation).
Input parameters include:
-m <points>, where <points> = number of grid points
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
-debug : Activate debugging printouts
-nox : Deactivate x-window graphics

diffusion equation Solves a simple time-dependent linear PDE (the heat equation).
Input parameters include:
-m <points>, where <points> = number of grid points
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
-debug : Activate debugging printouts
-nox : Deactivate x-window graphics

van der Pol equation Solves the van der Pol equation.
Input parameters include:
-mu : stiffness parameter

van der Pol equation Performs adjoint sensitivity analysis for the van der Pol equation.
Input parameters include:
-mu : stiffness parameter

van der Pol equation Solves an ODE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation.
Input parameters include:
-mu : stiffness parameter

van der Pol equation Solves an ODE-constrained optimization problem -- finding the optimal stiffness parameter for the van der Pol equation.
Input parameters include:
-mu : stiffness parameter

van der Pol DAE Solves the van der Pol DAE.
Input parameters include:

van der Pol equation DAE equivalent Solves the van der Pol equation.
Input parameters include:

van der Pol equation DAE equivalent Performs adjoint sensitivity analysis for the van der Pol equation.

van der Pol equation DAE equivalent Solves a DAE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation.

van der Pol equation DAE equivalent Solves the van der Pol equation.
Input parameters include:

Variational inequality nonlinear solver Solves a time-dependent nonlinear PDE with lower and upper bounds on the interior grid points. Uses implicit
timestepping. Runtime options include:
-M <xg>, where <xg> = number of grid points
-debug : Activate debugging printouts
-nox : Deactivate x-window graphics
-ul : lower bound
-uh : upper bound

solving a system of nonlinear equations (parallel multicomponent example); Transient nonlinear driven cavity in 2d.

The 2D driven cavity problem is solved in a velocity-vorticity formulation.
The flow can be driven with the lid or with bouyancy or both:
-lidvelocity <lid>, where <lid> = dimensionless velocity of lid
-grashof <gr>, where <gr> = dimensionless temperature gradent
-prandtl <pr>, where <pr> = dimensionless thermal/momentum diffusity ratio
-contours : draw contour plots of solution

multicomponent Transient nonlinear driven cavity in 2d.

The 2D driven cavity problem is solved in a velocity-vorticity formulation.
The flow can be driven with the lid or with bouyancy or both:
-lidvelocity <lid>, where <lid> = dimensionless velocity of lid
-grashof <gr>, where <gr> = dimensionless temperature gradent
-prandtl <pr>, where <pr> = dimensionless thermal/momentum diffusity ratio
-contours : draw contour plots of solution

differential-algebraic equation Transient nonlinear driven cavity in 2d.

The 2D driven cavity problem is solved in a velocity-vorticity formulation.
The flow can be driven with the lid or with bouyancy or both:
-lidvelocity <lid>, where <lid> = dimensionless velocity of lid
-grashof <gr>, where <gr> = dimensionless temperature gradent
-prandtl <pr>, where <pr> = dimensionless thermal/momentum diffusity ratio
-contours : draw contour plots of solution

ex31.c Solves the ordinary differential equations (IVPs) using explicit and implicit time-integration methods.

adjoint sensitivity analysis Performs adjoint sensitivity analysis for the van der Pol equation.
Input parameters include:
-mu : stiffness parameter

adjoint sensitivity analysis Performs adjoint sensitivity analysis for the van der Pol equation.