KSPGUESSPOD#
Implements a proper orthogonal decomposition based Galerkin scheme for repeated linear system solves.
Options Database Keys#
-ksp_guess_pod_size
- Number of snapshots-ksp_guess_pod_monitor
- Monitor initial guess generator-ksp_guess_pod_tol
- Tolerance to retain eigenvectors-ksp_guess_pod_Ainner
- Use the operator as inner product (must be SPD)
Note#
The initial guess is obtained by solving a small and dense linear system, obtained by Galerkin projection on a lower dimensional space generated by the previous solutions as presented in [Vol13].
References#
Stefan Volkwein. Proper orthogonal decomposition: theory and reduced-order modelling. Lecture Notes, University of Konstanz, 4(4):1–29, 2013. URL: http://www.math.uni-konstanz.de/numerik/personen/volkwein/teaching/POD-Book.pdf.
See Also#
KSP: Linear System Solvers, KSPGuess, KSPGuessType, KSPGuessCreate(), KSPSetGuess(), KSPGetGuess()
Level#
intermediate
Location#
src/ksp/ksp/guess/impls/pod/pod.c
Index of all KSP routines
Table of Contents for all manual pages
Index of all manual pages