An Efficient and Accurate Spectral Method for Acoustic Scattering in Elliptic Domains

An efficient and accurate method for solving the two-dimensional Helmhokz equation in domains exterior to elongated obstacles is developed in this paper. The method is based on the so called transformed field expansion (TFE) coupled with a spectral-Galerkin solver for elliptical domain using Mathieu functions. Numerical results are presented to show the accuracy and stability of the proposed method.

作 者： Qirong Fang Jie Shen LiLian Wang   作者單位： Qirong Fang,Jie Shen(Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA)

LiLian Wang(Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 637616, Singapore) 

刊 名： 高等學校計算數學學報（英文版）  英文刊名： NUMERICAL MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES ENGLISH SERIES  年，卷(期)： 2009 2(3)  分類號：   關鍵詞： Acoustic scattering   high-order methods   boundary perturbations   spectral-Galerkin methods.  

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