数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (5): 1510-1518.doi: 10.1016/S0252-9602(14)60100-4

• 论文 • 上一篇    下一篇

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

王培珍1,2|陈绍春1   

  1. 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
  • 收稿日期:2013-03-13 修回日期:2014-04-23 出版日期:2014-09-20 发布日期:2014-09-20
  • 基金资助:

    This work is supported by NSFC (11371331).

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

 WANG Pei-Zhen1,2, CHEN Shao-Chun1   

  1. 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:2013-03-13 Revised:2014-04-23 Online:2014-09-20 Published:2014-09-20
  • Supported by:

    This work is supported by NSFC (11371331).

摘要:

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

关键词: error estimator, anisotropic meshes, new mixed element schemes

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

Key words: error estimator, anisotropic meshes, new mixed element schemes

中图分类号: 

  • 65N30