Shifted-laplacian preconditioners for heterogeneous helmholtz problems

C. W. Oosterlee*, C. Vuik, W. A. Mulder, R. E. Plessix

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

We present an iterative solution method for the discrete high wavenumber Helmholtz equation. The basic idea of the solution method, already presented in [18], is to develop a preconditioner which is based on a Helmholtz operator with a complex-valued shift, for a Krylov subspace iterative method. The preconditioner, which can be seen as a strongly damped wave equation in Fourier space, can be approximately inverted by a multigrid method.

Original languageEnglish
Title of host publicationAdvanced Computational Methods in Science and Engineering
PublisherSpringer
Pages21-46
Number of pages26
ISBN (Print)9783642033438
DOIs
Publication statusPublished - 2010
Externally publishedYes

Publication series

NameLecture Notes in Computational Science and Engineering
Volume71
ISSN (Print)1439-7358

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