Frontiers of Mathematics in China >

2010 , Vol. 5 >Issue 2: 191 - 209

DOI: https://doi.org/10.1007/s11464-010-0001-0

Research articles

Finite element method for a nonsmooth elliptic equation

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  • 1.State Key Laboratory of Scientific and Engineering Computing, Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, China; 2.State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, China;

Published date: 05 Jun 2010

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Abstract

In this paper, we study the finite element method for a nonsmooth 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.

Key words： Finite element method; nonsmooth elliptic equation; a priori error estimate; a posteriori error estimate; superconvergence analysis; active set method

Cite this article

Lili CHANG, Ningning YAN, Wei GONG, . Finite element method for a nonsmooth elliptic equation[J]. Frontiers of Mathematics in China, 2010 , 5(2) : 191 -209 . DOI: 10.1007/s11464-010-0001-0

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