On a robust iterative method for heterogeneous helmholtz problems for geophysics applications

Yogi A. Erlangga, Cornelis Vuik, Cornelis W. Oosterlee

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper, a robust iterative method for the 2D heterogeneous Helmholtz equation is discussed. Two important ingredients of the method are evaluated, namely the Krylov subspace iterative methods and multigrid based preconditioners. For the Krylov subspace methods we evaluate GM- RES and Bi-CGSTAB. The preconditioner used is the complex shifted Laplace preconditioner [Erlangga, Vuik, Oosterlee, Appl. Numer. Math. 50(2004) 409-425] which is approximately solved using multigrid. Numerical examples which mimic geophysical applications are presented.

Original languageEnglish
Pages (from-to)197-208
Number of pages12
JournalInternational Journal of Numerical Analysis and Modeling
Volume2
Publication statusPublished - 2005
Externally publishedYes

Fingerprint

Geophysics
Hermann Von Helmholtz
Robust Methods
Iterative methods
Preconditioner
Iteration
Helmholtz equation
Bi-CGSTAB
Subspace Methods
Krylov Subspace Methods
Krylov Subspace
Helmholtz Equation
Laplace
Numerical Examples
Evaluate

Keywords

  • Helmholtz equation
  • Krylov subspace methods
  • Multigrid
  • Preconditioner

ASJC Scopus subject areas

  • Numerical Analysis

Cite this

On a robust iterative method for heterogeneous helmholtz problems for geophysics applications. / Erlangga, Yogi A.; Vuik, Cornelis; Oosterlee, Cornelis W.

In: International Journal of Numerical Analysis and Modeling, Vol. 2, 2005, p. 197-208.

Research output: Contribution to journalArticle

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