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Nonreflecting Boundary Conditions for Multiple Domain Wave Scattering in Unbounded Media

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Numerical Mathematics and Advanced Applications

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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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Basel, Rheinsprung 21, CH-4051, Basel, Switzerland

    Marcus J. Grote & Christoph Kirsch

  2. Seminar for Applied Mathematics, ETH Zurich, Switzerland

    Patrick Meury

Authors
  1. Marcus J. Grote
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  2. Christoph Kirsch
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  3. Patrick Meury
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Editor information

Editors and Affiliations

  1. Faculty of Mathematics and Physics Department of Numerical Mathematics, Charles University Prague, Sokolovská 83, 186 75, Praha 8, Czech Republic

    Miloslav Feistauer , Vít Dolejší , Petr Knobloch  & Karel Najzar , ,  & 

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© 2004 Springer-Verlag Berlin Heidelberg

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Grote, M.J., Kirsch, C., Meury, P. (2004). Nonreflecting Boundary Conditions for Multiple Domain Wave Scattering in Unbounded Media. In: Feistauer, M., Dolejší, V., Knobloch, P., Najzar, K. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18775-9_36

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  • DOI: https://doi.org/10.1007/978-3-642-18775-9_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62288-5

  • Online ISBN: 978-3-642-18775-9

  • eBook Packages: Springer Book Archive

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