petsc-3.14.6 2021-03-30
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SNESNGMRES

The Nonlinear Generalized Minimum Residual method.

Options Database

-snes_ngmres_select_type<difference,none,linesearch> - choose the select between candidate and combined solution
-snes_ngmres_restart_type<difference,none,periodic> - choose the restart conditions
-snes_ngmres_candidate - Use NGMRES variant which combines candidate solutions instead of actual solutions
-snes_ngmres_m - Number of stored previous solutions and residuals
-snes_ngmres_restart_it - Number of iterations the restart conditions hold before restart
-snes_ngmres_gammaA - Residual tolerance for solution select between the candidate and combination
-snes_ngmres_gammaC - Residual tolerance for restart
-snes_ngmres_epsilonB - Difference tolerance between subsequent solutions triggering restart
-snes_ngmres_deltaB - Difference tolerance between residuals triggering restart
-snes_ngmres_restart_fm_rise - Restart on residual rise from x_M step
-snes_ngmres_monitor - Prints relevant information about the ngmres iteration
-snes_linesearch_type <basic,l2,cp> - Line search type used for the default smoother
-additive_snes_linesearch_type - linesearch type used to select between the candidate and combined solution with additive select type

Notes

The N-GMRES method combines m previous solutions into a minimum-residual solution by solving a small linearized optimization problem at each iteration.

Very similar to the SNESANDERSON algorithm.

References

1. - C. W. Oosterlee and T. Washio, "Krylov Subspace Acceleration of Nonlinear Multigrid with Application to Recirculating Flows", SIAM Journal on Scientific Computing, 21(5), 2000.
2. - Peter R. Brune, Matthew G. Knepley, Barry F. Smith, and Xuemin Tu, "Composing Scalable Nonlinear Algebraic Solvers", SIAM Review, 57(4), 2015

See Also

SNESCreate(), SNES, SNESSetType(), SNESType (for list of available types)

Level

beginner

Location

src/snes/impls/ngmres/snesngmres.c
Index of all SNES routines
Table of Contents for all manual pages
Index of all manual pages