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 conferencePaper

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

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wave equation
wave equations
multigrid methods
Laplace transformation
numerical method
method

ASJC Scopus subject areas

  • Geophysics

Cite this

Erlangga Ahmad, Y., Vuik, K., Oosterlee, K., Plessix, R. E., & Mulder, W. A. (2004). A robust iterative solver for the two-way wave equation based on a complex shifted-Laplace preconditioner. Paper presented at 2004 Society of Exploration Geophysicists Annual Meeting, SEG 2004, Denver, United States.

A robust iterative solver for the two-way wave equation based on a complex shifted-Laplace preconditioner. / Erlangga Ahmad, Yogi; Vuik, Kees; Oosterlee, Kees; Plessix, Rene Edouard; Mulder, Wim A.

2004. Paper presented at 2004 Society of Exploration Geophysicists Annual Meeting, SEG 2004, Denver, United States.

Research output: Contribution to conferencePaper

Erlangga Ahmad, Y, Vuik, K, Oosterlee, K, Plessix, RE & Mulder, WA 2004, 'A robust iterative solver for the two-way wave equation based on a complex shifted-Laplace preconditioner' Paper presented at 2004 Society of Exploration Geophysicists Annual Meeting, SEG 2004, Denver, United States, 10/10/04 - 10/15/04, .
Erlangga Ahmad Y, Vuik K, Oosterlee K, Plessix RE, Mulder WA. A robust iterative solver for the two-way wave equation based on a complex shifted-Laplace preconditioner. 2004. Paper presented at 2004 Society of Exploration Geophysicists Annual Meeting, SEG 2004, Denver, United States.
Erlangga Ahmad, Yogi ; Vuik, Kees ; Oosterlee, Kees ; Plessix, Rene Edouard ; Mulder, Wim A. / A robust iterative solver for the two-way wave equation based on a complex shifted-Laplace preconditioner. Paper presented at 2004 Society of Exploration Geophysicists Annual Meeting, SEG 2004, Denver, United States.
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