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 |
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ASJC Scopus subject areas
- Geophysics
Cite this
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
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TY - CONF
T1 - A robust iterative solver for the two-way wave equation based on a complex shifted-Laplace preconditioner
AU - Erlangga Ahmad, Yogi
AU - Vuik, Kees
AU - Oosterlee, Kees
AU - Plessix, Rene Edouard
AU - Mulder, Wim A.
PY - 2004/1/1
Y1 - 2004/1/1
N2 - 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.
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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M3 - Paper
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