Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation

Y. A. Erlangga, C. Vuik, C. W. Oosterlee

Research output: Contribution to journalArticle

52 Citations (Scopus)

Abstract

Within the framework of shifted-Laplace preconditioners [Y.A. Erlangga, C. Vuik, C.W. Oosterlee, On a class of preconditioners for the Helmholtz equation, Appl. Numer. Math. 50 (2004) 409-425] for the Helmholtz equation, different methods for the approximation of the inverse of a complex-valued Helmholtz operator are discussed. The performance of the preconditioner for Helmholtz problems at high wavenumbers in heterogeneous media is evaluated. Comparison with other preconditioners from the literature is also presented.

Original languageEnglish
Pages (from-to)648-666
Number of pages19
JournalApplied Numerical Mathematics
Volume56
Issue number5
DOIs
Publication statusPublished - May 1 2006

Keywords

  • Helmholtz equation
  • ILU
  • Krylov subspace methods
  • Multigrid
  • Shifted-Laplace preconditioner

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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