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 |
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| 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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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.