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

Charles L. Epstein, Leslie Greengard, Thomas Hagstrom

Research output: Contribution to journal › Article

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.

Original languageEnglish (US)
Pages (from-to)4367-4382
Number of pages16
JournalDiscrete and Continuous Dynamical Systems
Volume36
Issue number8
DOIs
StatePublished - Aug 1 2016

Fingerprint

Acoustic wave propagation
Exterior Domain
Boundary Integral
Scattering Problems
Acoustic Waves
Wave equations
Wave Propagation
Integral equations
Time Domain
Wave equation
Integral Equations
Scattering

Keywords

  • Boundary integral equations
  • Exponential decays
  • Scattering poles
  • Time dependent
  • Wave equation

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Analysis

Cite this

On the stability of time-domain integral equations for acoustic wave propagation. / Epstein, Charles L.; Greengard, Leslie; Hagstrom, Thomas.

In: Discrete and Continuous Dynamical Systems, Vol. 36, No. 8, 01.08.2016, p. 4367-4382.

Research output: Contribution to journal › Article

Epstein, CL, Greengard, L & Hagstrom, T 2016, 'On the stability of time-domain integral equations for acoustic wave propagation', Discrete and Continuous Dynamical Systems, vol. 36, no. 8, pp. 4367-4382. https://doi.org/10.3934/dcds.2016.36.4367
Epstein CL, Greengard L, Hagstrom T. On the stability of time-domain integral equations for acoustic wave propagation. Discrete and Continuous Dynamical Systems. 2016 Aug 1;36(8):4367-4382. https://doi.org/10.3934/dcds.2016.36.4367
Epstein, Charles L. ; Greengard, Leslie ; Hagstrom, Thomas. / On the stability of time-domain integral equations for acoustic wave propagation. In: Discrete and Continuous Dynamical Systems. 2016 ; Vol. 36, No. 8. pp. 4367-4382.
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