@Article{NMTMA-2-258, author = {Qirong Fang, Jie Shen and Li-Lian Wang}, title = {An Efficient and Accurate Spectral Method for Acoustic Scattering in Elliptic Domains}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2009}, volume = {2}, number = {3}, pages = {258--274}, abstract = {

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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2009.m8014}, url = {http://global-sci.org/intro/article_detail/nmtma/6025.html} }