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Nonreflecting Boundary Conditions for Multiple Domain Wave Scattering in Unbounded Media

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Marcus J. Grote

    (University of Basel, Department of Mathematics)

  • Christoph Kirsch

    (University of Basel, Department of Mathematics)

  • Patrick Meury

    (Seminar for Applied Mathematics)

Abstract

Summary A nonreflecting boundary condition is presented, which generalizes the well-known Dirichlet-to-Neumann (DtN) approach for time-harmonic scattering in unbounded domains to multiple scattering problems. Because this boundary condition allows each scatterer to be enclosed by a separate artificial boundary, the size of the computational domain, and hence the computational cost, are greatly reduced.

Suggested Citation

  • Marcus J. Grote & Christoph Kirsch & Patrick Meury, 2004. "Nonreflecting Boundary Conditions for Multiple Domain Wave Scattering in Unbounded Media," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 391-399, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_36
    DOI: 10.1007/978-3-642-18775-9_36
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