Articles

A POSTERIORI ERROR ESTIMATION OF THE NEW MIXED ELEMENT SCHEMES FOR SECOND ORDER ELLIPTIC PROBLEM ON ANISOTROPIC MESHES

  • WANG Pei-Zhen ,
  • CHEN Shao-Chun
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  • 1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450052, China;
    2. School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China

Received date: 2013-03-13

  Revised date: 2014-04-23

  Online published: 2014-09-20

Supported by

This work is supported by NSFC (11371331).

Abstract

This paper presents a posteriori residual error estimator for the new mixed el-ement scheme for second order elliptic problem on anisotropic meshes. The reliability and efficiency of our estimator are established without any regularity assumption on the mesh. Key words error estimator; anisotropic meshes; new mixed element schemes

Cite this article

WANG Pei-Zhen , CHEN Shao-Chun . A POSTERIORI ERROR ESTIMATION OF THE NEW MIXED ELEMENT SCHEMES FOR SECOND ORDER ELLIPTIC PROBLEM ON ANISOTROPIC MESHES[J]. Acta mathematica scientia, Series B, 2014 , 34(5) : 1510 -1518 . DOI: 10.1016/S0252-9602(14)60100-4

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