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

作　　者：Qirong Fang Jie Shen Li-Lian Wang 

机构地区：[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.

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2009年第3期258-274,共17页高等学校计算数学学报（英文版）

基　　金：supported in part by NSF grant DMS-0610646;supported by AcRF Tier 1 Grant RG58/08;Singapore MOE Grant T207B2202;Singapore NRF2007IDM-IDM002-010

摘　　要：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.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.

关 键 词：Acoustic scattering high-order methods boundary perturbations spectral-Galerkinmethods. 

分 类 号：O322[理学—一般力学与力学基础] O422.5[理学—力学]