TY - JOUR
T1 - An Efficient and Accurate Spectral Method for Acoustic Scattering in Elliptic Domains
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 258
EP - 274
PY - 2009
DA - 2009/02
SN - 2
DO - http://doi.org/10.4208/nmtma.2009.m8014
UR - https://global-sci.org/intro/article_detail/nmtma/6025.html
KW - Acoustic scattering, high-order methods, boundary perturbations, spectral-Galerkin
methods.
AB - <p style="text-align: justify;">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.</p>