Options
An implicit approximate inverse preconditioner for saddle point problems
Publikationstyp
Journal Article
Date Issued
2010-12-01
Sprache
English
Author(s)
Volume
37
Start Page
173
End Page
188
Citation
Electronic Transactions on Numerical Analysis 37 (): 173-188 (2010-12-01)
Scopus ID
We present a preconditioner for saddle point problems which is based on an approximation of an implicit representation of the inverse of the saddle point matrix. Whereas this preconditioner does not require an approximation to the Schur complement, its theoretical analysis yields some interesting relationship to some Schurcomplement- based preconditioners. Whereas the evaluation of this new preconditioner is slightly more expensive than the evaluation of standard block preconditioners from the literature, it has the advantage that, similar to constraint preconditioners, the iterates of the preconditioned system satisfy the constraint equations exactly. We will demonstrate the performance of the implicit approximate inverse preconditioner in the iterative solution of the discrete two- as well as three-dimensional Oseen equations.
Subjects
Preconditioning
Saddle point problem
DDC Class
510: Mathematik