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Error analysis for absorbing boundary conditions

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Summary

An estimate is derived for the error committed by the introduction of artificial boundaries and corresponding artificial boundary conditions when solving wave equations on unbounded domains. The estimate has two terms. One is proportional to the largest reflection coefficient for the artificial boundary condition, the maximum taken only on those rays which appear in the computation. The second term is proportional to 1/k wherek is a measure of the average frequency present in the solution.

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Authors and Affiliations

  1. Centre de Mathématiques Appliquées, Ecole Polytechnique, F-91128, Palaiseau, France

    Laurence Halpern & Jeffrey Rauch

  2. Department of Mathematics, University of Michigan, 48109, Ann Arbor, MI, USA

    Laurence Halpern & Jeffrey Rauch

Authors
  1. Laurence Halpern
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  2. Jeffrey Rauch
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Additional information

Research partially supported by the U.S. National Science Foundation under grant number DMS-8601783

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Halpern, L., Rauch, J. Error analysis for absorbing boundary conditions. Numer. Math. 51, 459–467 (1987). https://doi.org/10.1007/BF01397547

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  • DOI: https://doi.org/10.1007/BF01397547

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