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Volume 30, Issue 4
Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions

Labarca Ignacio & Hiptmair Ralf

DOI: 10.4208/cicp.OA-2020-0249

Commun. Comput. Phys., 30 (2021), pp. 985-1008.

Published online: 2021-08

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  • 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.

  • Keywords

Acoustic wave scattering, convolution quadrature, method of fundamental solutions.

  • AMS Subject Headings

65N35, 65N80, 78M25

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{CiCP-30-985, author = {Ignacio , Labarca and Ralf , Hiptmair}, title = {Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions}, journal = {Communications in Computational Physics}, year = {2021}, volume = {30}, number = {4}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2020-0249}, url = {http://global-sci.org/intro/article_detail/cicp/19391.html} }
TY - JOUR T1 - Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions AU - Ignacio , Labarca AU - Ralf , Hiptmair JO - Communications in Computational Physics VL - 4 SP - 985 EP - 1008 PY - 2021 DA - 2021/08 SN - 30 DO - http://doi.org/10.4208/cicp.OA-2020-0249 UR - https://global-sci.org/intro/article_detail/cicp/19391.html KW - Acoustic wave scattering, convolution quadrature, method of fundamental solutions. AB -

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.

Ignacio , Labarca and Ralf , Hiptmair. (2021). Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions. Communications in Computational Physics. 30 (4). 985-1008. doi:10.4208/cicp.OA-2020-0249
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