数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (3): 839-846.doi: 10.1016/S0252-9602(13)60043-0

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EXPLICIT ERROR ESTIMATE FOR THE NONCONFORMING WILSON´S ELEMENT

赵纪坤|陈绍春   

  1. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China
  • 收稿日期:2012-02-23 修回日期:2012-08-08 出版日期:2013-05-20 发布日期:2013-05-20
  • 基金资助:

    The authors are supported by National Natural Science Foundation of China (11071226; 11201122).

EXPLICIT ERROR ESTIMATE FOR THE NONCONFORMING WILSON´S ELEMENT

 ZHAO Ji-Kun, CHEN Shao-Chun   

  1. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China
  • Received:2012-02-23 Revised:2012-08-08 Online:2013-05-20 Published:2013-05-20
  • Supported by:

    The authors are supported by National Natural Science Foundation of China (11071226; 11201122).

摘要:

In this article, we study the explicit expressions of the constants in the error estimate of the nonconforming finite element method. We explicitly obtain the approximation error estimate and the consistency error estimate for theWilson´s element without the regular assumption, respectively, which implies the final finite element error estimate. Such explicit a priori error estimates can be used as computable error bounds.

关键词: Nonconforming finite element, explicit error estimate, Wilson´s element

Abstract:

In this article, we study the explicit expressions of the constants in the error estimate of the nonconforming finite element method. We explicitly obtain the approximation error estimate and the consistency error estimate for theWilson´s element without the regular assumption, respectively, which implies the final finite element error estimate. Such explicit a priori error estimates can be used as computable error bounds.

Key words: Nonconforming finite element, explicit error estimate, Wilson´s element

中图分类号: 

  • 65N15