A robust iterative solver for the two-way wave equation based on a complex shifted-Laplace preconditioner

Yogi Erlangga Ahmad, Kees Vuik, Kees Oosterlee, Rene Edouard Plessix, Wim A. Mulder

Research output: Contribution to conferencePaperpeer-review

Abstract

An iterative numerical method for solving the wave equation in an inhomogeneous medium with constant density is presented. The method is based on a Krylov iterative method and enhanced by a powerful preconditioner. For the preconditioner, a complex Shifted-Laplace operator is proposed, designed specifically for the wave equation. A multigrid method is used to approximately compute the inverse of the preconditioner. Numerical examples on 2D problems show that the combined method is robust and applicable for a wide range of frequencies. Extension to 3D is straightforward.

Original languageEnglish
Publication statusPublished - Jan 1 2004
Event2004 Society of Exploration Geophysicists Annual Meeting, SEG 2004 - Denver, United States
Duration: Oct 10 2004Oct 15 2004

Other

Other2004 Society of Exploration Geophysicists Annual Meeting, SEG 2004
CountryUnited States
CityDenver
Period10/10/0410/15/04

ASJC Scopus subject areas

  • Geophysics

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