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

被引：3

作者：

Labarca, Ignacio ^{[1
]}

Hiptmair, Ralf ^{[1
]}

机构：

[1] Swiss Fed Inst Technol, Seminar Appl Math, Zurich, Switzerland

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2021年 / 30卷 / 04期

基金：

瑞士国家科学基金会;

关键词：

Acoustic wave scattering; convolution quadrature; method of fundamental solutions; WAVE-EQUATION; CONVERGENCE; STABILITY;

D O I：

10.4208/cicp.OA-2020-0249

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：985 / 1008

页数：24

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