Finite element method for a nonsmooth elliptic
equation

doi:10.1007/s11464-010-0001-0

Front. Math. China

2010, Vol. 5

Issue (2) : 191-209 https://doi.org/10.1007/s11464-010-0001-0

Research articles

Finite element method for a nonsmooth elliptic equation

Lili CHANG¹,Ningning YAN¹,Wei GONG²,

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;

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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.

Keywords Finite element method nonsmooth elliptic equation a priori error estimate a posteriori error estimate superconvergence analysis active set method

Issue Date: 05 June 2010

Cite this article:

Lili CHANG,Wei GONG,Ningning YAN. Finite element method for a nonsmooth elliptic equation[J]. Front. Math. China, 2010, 5(2): 191-209.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-010-0001-0
https://academic.hep.com.cn/fmc/EN/Y2010/V5/I2/191

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