Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions

Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions

Year:    2021

Author:    Labarca Ignacio, Hiptmair Ralf

Communications in Computational Physics, Vol. 30 (2021), Iss. 4 : pp. 985–1008

Abstract

Time-domain acoustic scattering problems in two dimensions are studied. The numerical scheme relies on the use of the Convolution Quadrature (CQ) method to reduce the time-domain problem to the solution of frequency-domain Helmholtz equations with complex wavenumbers. These equations are solved with the method of fundamental solutions (MFS), which approximates the solution by a linear combination of fundamental solutions defined at source points inside (outside) the scatterer for exterior (interior) problems. Numerical results show that the coupling of both methods works efficiently and accurately for multistep and multistage based CQ.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2020-0249

Communications in Computational Physics, Vol. 30 (2021), Iss. 4 : pp. 985–1008

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

Keywords:    Acoustic wave scattering convolution quadrature method of fundamental solutions.

Author Details

Labarca Ignacio

Hiptmair Ralf