An a priori error estimate of the Dirichlet-to-Neumann finite element method for multiple scattering problems

被引：0
|
作者：
Daisuke Koyama
机构：
[1] The University of Electro-Communications,Department of Communication Engineering and Informatics, Graduate School of Informatics and Engineering
来源：
Japan Journal of Industrial and Applied Mathematics | 2014年 / 31卷
关键词：
Multiple scattering; Exterior Helmholtz problem; Finite element method; Dirichlet-to-Neumann boundary condition; A priori error estimate; 65N30; 65N15; 35J05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The multiple Dirichlet-to-Neumann (DtN) boundary condition has been derived by Grote and Kirsch (J Comput Phys 201:630–650, 2004) to numerically solve multiple scattering problems. An a priori error estimate is established for finite element methods applied to the Helmholtz problem with the multiple DtN boundary condition. The error estimates account for the effects of truncation of infinite Fourier series representing the multiple DtN boundary condition as well as of discretization of the finite element method.
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页码：165 / 192
页数：27
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