On the stability of time-domain integral equations for acoustic wave propagation

Charles L.  Epstein; Leslie  Greengard; Thomas  Hagstrom

doi:10.3934/dcds.2016.36.4367

Article Contents

2016, Volume 36, Issue 8: 4367-4382. Doi: 10.3934/dcds.2016.36.4367

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On the stability of time-domain integral equations for acoustic wave propagation

1.
209 S. 33rd Street, Department of Mathematics, Philadelphia, PA, 19104-6395
2.
251 Mercer St, Courant Institute, NYU, New York, NY, 10012
3.
Dept. of Mathematics, Southern Methodist University, PO Box 750156, Dallas, TX 75275-0156

Received: April 2015

Revised: October 2015

Published: May 2017

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Abstract

We give a principled approach for the selection of a boundary integral, retarded potential representation for the solution of scattering problems for the wave equation in an exterior domain.

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Mathematics Subject Classification: Primary: 65M80, 31B10; Secondary: 35P25, 35L20.

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References

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