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An Efficient and Accurate Spectral Method for Acoustic Scattering in Elliptic Domains |
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| Authors: | Qirong Fang Jie Shen LiLian Wang |
| Affiliation: | 1. Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA 2. Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 637616, Singapore |
| Abstract: | 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. |
| Keywords: | Acoustic scattering high-order methods boundary perturbations spectral-Galerkin methods |
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