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

被引：1

作者：

Koyama, Daisuke ^{[1
]}

机构：

[1] Univ Electrocommun, Grad Sch Informat & Engn, Dept Commun Engn & Informat, Chofu, Tokyo 1828585, Japan

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2014年 / 31卷 / 01期

关键词：

Multiple scattering; Exterior Helmholtz problem; Finite element method; Dirichlet-to-Neumann boundary condition; A priori error estimate; BOUNDARY-CONDITIONS; UNBOUNDED-DOMAINS; CURVED ELEMENTS; APPROXIMATION; EQUATIONS;

D O I：

10.1007/s13160-013-0129-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：165 / 192

页数：28

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