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

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

Year:    2013

East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 3 : pp. 190–208

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.060713.080813a

East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 3 : pp. 190–208

Published online:    2013-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    spectral method acoustic scattering boundary perturbation Helmholtz equation.