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Transparent Boundary Conditions for the Elastic Waves in Anisotropic Media

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • I. L. Sofronov

    (Keldysh Institute of Applied Mathematics RAS)

  • N. A. Zaitsev

    (Keldysh Institute of Applied Mathematics RAS)

Abstract

A numerical method of generating nonreflecting boundary conditions on open circular boundary for anisotropic media is proposed. The approach is based on the conception of transparent boundary conditions. A two-dimensional wave propagation problem in polar coordinates for orthotropic elastic media is considered to demonstrate transparency and efficiency of the proposed boundary conditions. It is shown that the method gives accurate and stable boundary conditions including cases when PML fails.

Suggested Citation

  • I. L. Sofronov & N. A. Zaitsev, 2008. "Transparent Boundary Conditions for the Elastic Waves in Anisotropic Media," Springer Books, in: Sylvie Benzoni-Gavage & Denis Serre (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 997-1004, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75712-2_105
    DOI: 10.1007/978-3-540-75712-2_105
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