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Domain Decomposition Methods for Wave Propagation in Heterogeneous Media

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • R. Glowinski

    (University of Houston)

  • S. Lapin

    (University of Houston)

  • J. Periaux

    (Pole Scientifique Dassault Aviation)

  • P.M. Jacquart

    (Dassault Aviation)

  • H.Q. Chen

    (Nanjing University of Aeronautics and Astronautics)

Abstract

The main goal of this paper is to address the numerical solution of a wave equation with discontinuous coefficients by a finite element method using domain decomposition and semimatching grids. A wave equation with absorbing boundary conditions is considered, the coefficients in the equation essentially differ in the subdomains. The problem is approximated by an explicit in time finite difference scheme combined with a piecewise linear finite element method in the space variables on a semimatching grid. The matching condition on the interface is taken into account by means of Lagrange multipliers. The resulting system of linear equations of the saddle-point form is solved by a conjugate gradient method.

Suggested Citation

  • R. Glowinski & S. Lapin & J. Periaux & P.M. Jacquart & H.Q. Chen, 2006. "Domain Decomposition Methods for Wave Propagation in Heterogeneous Media," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 1203-1211, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_121
    DOI: 10.1007/978-3-540-34288-5_121
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