Block LU Preconditioners for Symmetric and Nonsymmetric Saddle Point Problems

Authors:
Leigh Little;Yousef Saad;Laurent Smoch
Affiliations:
-;-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2003

Citing 0
Cited 2

Block triangular Schur complement preconditioners for saddle point problems and application to the Oseen equations

Applied Numerical Mathematics
Schur Complement Preconditioners for Surface Integral-Equation Formulations of Dielectric Problems Solved with the Multilevel Fast Multipole Algorithm

SIAM Journal on Scientific Computing

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Abstract

In this paper, a general-purpose block LU preconditioner for saddle point problems is presented. The main difference between the approach presented here and that of other studies is that an explicit, accurate approximation of the Schur complement matrix is efficiently computed. This is used to compute a preconditioner to the Schur complement matrix, which in turn defines a preconditioner for the global system. A number of different variants are developed and results are reported for a few linear systems arising from CFD applications.