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A Spectral Approach for Generating Non-Local Boundary Conditions for External Wave Problems in Anisotropic Media

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Abstract

Operator of proposed low-reflecting boundary conditions is derived by approximation of discrete transparent boundary conditions obtained numerically. Reasonable computational costs are achieved due to sum-of-exponentials representation of occurring temporal kernels.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, RAS, Miusskaya square 4, Moscow, Russia

    Ivan L. Sofronov & Olga V. Podgornova

Authors
  1. Ivan L. Sofronov
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  2. Olga V. Podgornova
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Correspondence to Ivan L. Sofronov.

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Sofronov, I.L., Podgornova, O.V. A Spectral Approach for Generating Non-Local Boundary Conditions for External Wave Problems in Anisotropic Media. J Sci Comput 27, 419–430 (2006). https://doi.org/10.1007/s10915-005-9041-0

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  • DOI: https://doi.org/10.1007/s10915-005-9041-0

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