Advances in iterative methods and preconditioners for the Helmholtz equation

Yogi A. Erlangga

Research output: Contribution to journalArticlepeer-review

111 Citations (Scopus)

Abstract

In this paper we survey the development of fast iterative solvers aimed at solving 2D/3D Helmholtz problems. In the first half of the paper, a survey on some recently developed methods is given. The second half of the paper focuses on the development of the shifted Laplacian preconditioner used to accelerate the convergence of Krylov subspace methods applied to the Helmholtz equation. Numerical examples are given for some difficult problems, which had not been solved iteratively before.

Original languageEnglish
Pages (from-to)37-66
Number of pages30
JournalArchives of Computational Methods in Engineering
Volume15
Issue number1
DOIs
Publication statusPublished - Mar 1 2008

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

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