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.