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An Efficient and Stable Spectral-Element Method for Acoustic Scattering by an Obstacle

Published online by Cambridge University Press:  28 May 2015

Jing An  and
Jie Shen
Jing An*
Affiliation:
School of Mathematics and Science, Xiamen University, Xiamen 361005, China
Jie Shen*
Affiliation:
School of Mathematics and Science, Xiamen University, Xiamen 361005, China Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
*
Corresponding author. Email Address: aj154@163.com
Corresponding author. Email Address: shen7@purdue.edu
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Abstract

A spectral-element method is developed to solve the scattering problem for time-harmonic sound waves due to an obstacle in an homogeneous compressible fluid. The method is based on a boundary perturbation technique coupled with an efficient spectral-element solver. Extensive numerical results are presented, in order to show the accuracy and stability of the method.

Keywords

78A4565N3535J0541A58Spectral methodacoustic scatteringboundary perturbationHelmholtz equation
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 3 , Issue 3 , August 2013 , pp. 190 - 208
Copyright
Copyright © Global-Science Press 2013

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