Local Fourier analysis of the complex shifted Laplacian preconditioner for Helmholtz problems

Author:

Cools Siegfried1,Vanroose Wim1

Affiliation:

1. Department of Mathematics and Computer Science; University of Antwerp; Middelheimlaan 1, 2020 Antwerp Belgium

Funder

FWO-Flanders

FWO krediet aan navorser

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Reference26 articles.

1. A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations;Elman;SIAM Journal on Scientific Computing,2002

2. Multigrid method for nearly singular and slightly indefinite problems;Brandt;Multigrid Methods II, Lecture Notes in Mathematics,1986

3. Why it is difficult to solve Helmholtz problems with classical iterative methods;Ernst;Lecture Notes in Computational Science and Engineering,2012

4. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems;Saad;SIAM Journal on Scientific and Statistical Computing,1986

5. BiCGSTAB: a fast and smoothly converging variant of BiCG for the solution of nonsymmetric linear systems;Van der Vorst;SIAM Journal on Scientific Computing,1992

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