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Dirichlet-to-Neumann Boundary Condition for Multiple Scattering Problems

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Mathematical and Numerical Aspects of Wave Propagation WAVES 2003

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Summary

A Dirichlet-to-Neumann (DtN) condition is derived for the numerical solution of two-dimensional time-harmonic scattering problems, where the scatterer consists of several obstacles. It is obtained by combining multiple contributions from purely outgoing wave fields. This DtN condition yields an exact artificial boundary condition for the situation, where the computational domain consists of multiple disjoint components. The accuracy of our approach is illustrated by numerical experiments.

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Authors and Affiliations

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

    Marcus J. Grote & Christoph Kirsch

Authors
  1. Marcus J. Grote
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  2. Christoph Kirsch
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Editor information

Editors and Affiliations

  1. Domaine de Voluceau, INRIA, B.P. 105, 78153, Rocquencourt, Le Chesnay Cedex, France

    Gary C. Cohen  & Patrick Joly  & 

  2. Department of Mathematical Information Technology, University of Jyväskylä, 40014, Jyväskylä, Finland

    Erkki Heikkola  & Pekka Neittaanmäki  & 

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© 2003 Springer-Verlag Berlin Heidelberg

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Grote, M.J., Kirsch, C. (2003). Dirichlet-to-Neumann Boundary Condition for Multiple Scattering Problems. In: Cohen, G.C., Joly, P., Heikkola, E., Neittaanmäki, P. (eds) Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55856-6_42

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  • DOI: https://doi.org/10.1007/978-3-642-55856-6_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62480-3

  • Online ISBN: 978-3-642-55856-6

  • eBook Packages: Springer Book Archive

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