Error Estimates of the Finite Element Method for Interior Transmission Problems

被引：0
作者：
Xinming Wu
Wenbin Chen
机构：
[1] Fudan University,The Key Laboratory of Mathematics for Nonlinear Sciences, School of Mathematical Sciences
来源：
Journal of Scientific Computing | 2013年 / 57卷
关键词：
Interior transmission problem; Finite element method; Error estimates; 65N30; 65N50;
D O I：
暂无
中图分类号：
学科分类号：
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 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb T $$\end{document}-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.
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页码：331 / 348
页数：17
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