Finite element method for a nonsmooth elliptic equation

被引：9
|
作者：
Chang, Lili [1 ]
Gong, Wei [2 ]
Yan, Ningning [1 ]
机构：
[1] Chinese Acad Sci, Inst Syst Sci, State Key Lab Sci & Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[2] Chinese Acad Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2010年 / 5卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Finite element method; nonsmooth elliptic equation; a priori error estimate; a posteriori error estimate; superconvergence analysis; active set method;
D O I：
10.1007/s11464-010-0001-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the finite element method for a non-smooth elliptic equation. Error analysis is presented, including a priori and a posteriori error estimates as well as superconvergence analysis. We also propose two algorithms for solving the underlying equation. Numerical experiments are employed to confirm our error estimations and the efficiency of our algorithms.
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页码：191 / 209
页数：19
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