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

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An Efficient and Accurate Spectral Method for Acoustic Scattering in Elliptic Domains
Qirong Fang[1] Jie Shen[1] Li-Lian Wang[2][1]Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA. [2]Division of Mathematical Sciences, School of Physical and MathematicalSciences, Nanyang Technological University, 637616, Singapore.

摘　要:[著者文摘]

关键词:椭圆函数 声散射 光谱法 有效率 亥姆霍兹方程 聚四氟乙烯 数值结果 伽辽金
分类号:　O322 O422.5[机标]文献标识码：文章编号：栏目信息：
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An Efficient and Accurate Spectral Method for Acoustic Scattering in Elliptic DomainsAbstract:An efficient and accurate method for solving the two-dimensional Helmholtz 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.[著者文摘]

Key words:Acoustic scattering, high-order methods, boundary perturbations, spectral-Galerkinmethods.