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

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

Department of Mathematics

Research output: Contribution to conference › Paper › peer-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 language	English
Publication status	Published - Jan 1 2004
Event	2004 Society of Exploration Geophysicists Annual Meeting, SEG 2004 - Denver, United States Duration: Oct 10 2004 → Oct 15 2004

Other

Other	2004 Society of Exploration Geophysicists Annual Meeting, SEG 2004
Country	United States
City	Denver
Period	10/10/04 → 10/15/04

ASJC Scopus subject areas

Geophysics

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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 conference › Paper › peer-review

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AB - 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.

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