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An Efficient and Stable Spectral-Element Method for Acoustic Scattering by an Obstacle
Jing An, Jie Shen
Journal:

East Asian Journal on Applied Mathematics / Volume 3 / Issue 3 / August 2013

Published online by Cambridge University Press:

28 May 2015, pp. 190-208

Print publication:

August 2013
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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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An Efficient and Stable Spectral-Element Method for Acoustic Scattering by an Obstacle