Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems
Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems
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DOI：
10.1007/s00211-022-01269-0
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发表时间：
2020-11
影响因子：
2.1
通讯作者：
A. Anand;Y. Boubendir;F. Ecevit;Souaad Lazergui
中科院分区：
文献类型：
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作者：
A. Anand;Y. Boubendir;F. Ecevit;Souaad Lazergui
本文设计了两类不同的Galerkin边界元方法，用于求解二维光滑凸散射体外部的高频声硬散射问题。本文证明了这两种方法都需要增加(按任意自由度的数量级)自由度数，以保证随波数增加而与频率无关的精度。此外，只要在积分方程式中加入足够多的渐近展开式中的项，数值解的精度与频率无关。给出了验证算法的数值结果。
This paper is concerned with the design of two different classes of Galerkin boundary element methods for the solution of high-frequency sound-hard scattering problems in the exterior of two-dimensional smooth convex scatterers. We prove in this paper that both methods require a small increase (in the order offor any) in the number of degrees of freedom to guarantee frequency independent precisions with increasing wavenumberk. In addition, the accuracy of the numerical solutions are independent of frequency provided sufficiently many terms in the asymptotic expansion are incorporated into the integral equation formulation. Numerical results validatingalgorithms are presented.