Error Estimates of the Finite Element Method for Interior Transmission Problems

被引：15

作者：

Wu, Xinming ^{[1
]}

Chen, Wenbin ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2013年 / 57卷 / 02期

基金：

美国国家科学基金会;

关键词：

Interior transmission problem; Finite element method; Error estimates; DISCONTINUOUS GALERKIN METHODS; A-POSTERIORI ERROR; HIGH WAVE-NUMBER; HELMHOLTZ-EQUATION; T-COERCIVITY; SCATTERING; APPROXIMATION; REGIONS; VERSION;

D O I：

10.1007/s10915-013-9708-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The interior transmission problem (ITP) plays an important role in the investigation of the inverse scattering problem. In this paper we propose the finite element method for solving the ITP. Based on the -coercivity, we derive both priori error estimate and a posteriori error estimate of the finite element approximation. Numerical experiments are also included to illustrate the accuracy of the finite element method.

引用

页码：331 / 348

页数：18

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