Computing and Visualization in Science

, Volume 11, Issue 3, pp 139–146

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

Authors

    • Acoustical Imaging & Sound ControlDelft University of Technology
  • C. D. Riyanti
    • Numerical Analysis Group, Delft Institute of Applied MathematicsDelft University of Technology
  • S. W. de Leeuw
    • Computational Physics Group, PCMT, DelftChemDelft University of Technology
  • C. W. Oosterlee
    • Numerical Analysis Group, Delft Institute of Applied MathematicsDelft University of Technology
  • C. Vuik
    • Numerical Analysis Group, Delft Institute of Applied MathematicsDelft University of Technology
Open AccessRegular article

DOI: 10.1007/s00791-007-0069-6

Cite this article as:
Kononov, A.V., Riyanti, C.D., de Leeuw, S.W. et al. Comput. Visual Sci. (2008) 11: 139. doi:10.1007/s00791-007-0069-6

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.

Copyright information

© Springer-Verlag 2007