SNESANDERSON#

Anderson Mixing nonlinear solver [And65], [BKST15]

Options Database Keys#

  • -snes_anderson_m - Number of stored previous solutions and residuals

  • -snes_anderson_beta - Anderson mixing parameter

  • -snes_anderson_restart_type - Type of restart (see SNESNGMRES)

  • -snes_anderson_restart_it - Number of iterations of restart conditions before restart

  • -snes_anderson_restart - Number of iterations before periodic restart

  • -snes_anderson_monitor - Prints relevant information about the ngmres iteration

Notes#

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

Very similar to the SNESNGMRES algorithm.

References#

And65

Donald G Anderson. Iterative procedures for nonlinear integral equations. Journal of the ACM (JACM), 12(4):547–560, 1965.

BKST15

Peter R. Brune, Matthew G. Knepley, Barry F. Smith, and Xuemin Tu. Composing scalable nonlinear algebraic solvers. SIAM Review, 57(4):535–565, 2015. http://www.mcs.anl.gov/papers/P2010-0112.pdf. URL: http://www.mcs.anl.gov/papers/P2010-0112.pdf, doi:10.1137/130936725.

See Also#

SNES: Nonlinear Solvers, SNESNGMRES, SNESCreate(), SNES, SNESSetType(), SNESType

Level#

beginner

Location#

src/snes/impls/ngmres/anderson.c

Index of all SNES routines
Table of Contents for all manual pages
Index of all manual pages