Numerical performance of a parallel solution method for a heterogeneous 2D Helmholtz equation

A. V. Kononov; C. D. Riyanti; S. W. De Leeuw; C. W. Oosterlee; C. Vuik

doi:10.1007/s00791-007-0069-6

Numerical performance of a parallel solution method for a heterogeneous 2D Helmholtz equation

A. V. Kononov, C. D. Riyanti, S. W. De Leeuw, C. W. Oosterlee, C. Vuik

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

The parallel performance of a numerical solution method for the scalar 2D Helmholtz equation written for inhomogeneous media is studied. The numerical solution is obtained by an iterative method applied to the preconditioned linear system which has been derived from a finite difference discretization. The preconditioner is approximately inverted using multigrid iterations. Parallel execution is implemented using the MPI library. Only a few iterations are required to solve numerically the so-called full Marmousi problem [Bourgeois, A., et al. in The Marmousi Experience, Proceedings of the 1990 EAEG Workshop on Practical Aspects of Seismic Data Inversion: Eur. Assoc. Expl. Geophys., pp. 5-16 (1991)] for the high frequency range.

Original language	English
Pages (from-to)	139-146
Number of pages	8
Journal	Computing and Visualization in Science
Volume	11
Issue number	3
DOIs	https://doi.org/10.1007/s00791-007-0069-6
Publication status	Published - May 2008
Externally published	Yes

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abstract = "The parallel performance of a numerical solution method for the scalar 2D Helmholtz equation written for inhomogeneous media is studied. The numerical solution is obtained by an iterative method applied to the preconditioned linear system which has been derived from a finite difference discretization. The preconditioner is approximately inverted using multigrid iterations. Parallel execution is implemented using the MPI library. Only a few iterations are required to solve numerically the so-called full Marmousi problem [Bourgeois, A., et al. in The Marmousi Experience, Proceedings of the 1990 EAEG Workshop on Practical Aspects of Seismic Data Inversion: Eur. Assoc. Expl. Geophys., pp. 5-16 (1991)] for the high frequency range.",

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AU - De Leeuw, S. W.

AU - Oosterlee, C. W.

AU - Vuik, C.

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Numerical performance of a parallel solution method for a heterogeneous 2D Helmholtz equation

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