TY - CONF
T1 - A robust iterative solver for the two-way wave equation based on a complex shifted-Laplace preconditioner
AU - Erlangga, Yogi A.
AU - Vuik, Kees
AU - Oosterlee, Kees
AU - Plessix, Rene Edouard
AU - Mulder, Wim A.
N1 - Funding Information:
The authors would like to thank the Dutch Ministry of Economic Affairs for providing financial support during this research under the project BTS01044.
Publisher Copyright:
© 2004 SEG Annual Meeting. All rights reserved.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2004
Y1 - 2004
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
AN - SCOPUS:85055824958
T2 - 2004 Society of Exploration Geophysicists Annual Meeting, SEG 2004
Y2 - 10 October 2004 through 15 October 2004
ER -