×

Preconditioning of boundary value problems using elementwise Schur complements. (English) Zbl 1194.65047

In the context of algebraic multilevel iteration, the authors propose an efficient technique for computing the Schur complement preconditioners. These are based on a two-by-two block decomposition of the matrix, and their approximations are computed by assembly of local (macroelement) Schur complements.

MSC:

65F08 Preconditioners for iterative methods
65F10 Iterative numerical methods for linear systems
65F50 Computational methods for sparse matrices
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
PDFBibTeX XMLCite
Full Text: DOI