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Nonreflecting Boundary Conditions for Time Dependent Waves

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A Celebration of Mathematical Modeling

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Abstract

Exact nonreflecting boundary conditions for time dependent acoustic, electro-magnetic, and elastic waves are reviewed. These boundary conditions are global over the artificial boundary, but local in time. They involve only first derivatives of the solution; hence, they are easily combined with finite difference or finite element methods in the interior. Their high accuracy and performance is illustrated via a numerical experiment.

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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

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  1. Marcus J. Grote
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Editor information

Editors and Affiliations

  1. Department of Aerospace Engineering, Technion — Israel Institute of Technology, Haifa, Israel

    Dan Givoli

  2. Department of Mathematics, University of Basel, Basel, Switzerland

    Marcus J. Grote

  3. Department of Mathematics, Stanford University, Stanford, California, USA

    George C. Papanicolaou

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Grote, M.J. (2004). Nonreflecting Boundary Conditions for Time Dependent Waves. In: Givoli, D., Grote, M.J., Papanicolaou, G.C. (eds) A Celebration of Mathematical Modeling. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0427-4_5

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  • DOI: https://doi.org/10.1007/978-94-017-0427-4_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6526-1

  • Online ISBN: 978-94-017-0427-4

  • eBook Packages: Springer Book Archive

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