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Volume 3, Issue 3
An Efficient and Stable Spectral-Element Method for Acoustic Scattering by an Obstacle

Jing An & Jie Shen

DOI: 10.4208/eajam.060713.080813a

East Asian J. Appl. Math., 3 (2013), pp. 190-208.

Published online: 2018-02

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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

spectral method, acoustic scattering, boundary perturbation, Helmholtz equation.

  • AMS Subject Headings

78A45, 65N35, 35J05, 41A58

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-3-190, author = {Jing An and Jie Shen}, title = {An Efficient and Stable Spectral-Element Method for Acoustic Scattering by an Obstacle}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {3}, number = {3}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.060713.080813a}, url = {http://global-sci.org/intro/article_detail/eajam/10855.html} }
TY - JOUR T1 - An Efficient and Stable Spectral-Element Method for Acoustic Scattering by an Obstacle AU - Jing An & Jie Shen JO - East Asian Journal on Applied Mathematics VL - 3 SP - 190 EP - 208 PY - 2018 DA - 2018/02 SN - 3 DO - http://doi.org/10.4208/eajam.060713.080813a UR - https://global-sci.org/intro/article_detail/eajam/10855.html KW - spectral method, acoustic scattering, boundary perturbation, Helmholtz equation. AB -

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.

Jing An and Jie Shen. (2018). An Efficient and Stable Spectral-Element Method for Acoustic Scattering by an Obstacle. East Asian Journal on Applied Mathematics. 3 (3). 190-208. doi:10.4208/eajam.060713.080813a
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