Acta mathematica scientia, Series B >
EXPLICIT ERROR ESTIMATE FOR THE NONCONFORMING WILSON´S ELEMENT
Received date: 2012-02-23
Revised date: 2012-08-08
Online published: 2013-05-20
Supported by
The authors are supported by National Natural Science Foundation of China (11071226; 11201122).
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.
ZHAO Ji-Kun , CHEN Shao-Chun . EXPLICIT ERROR ESTIMATE FOR THE NONCONFORMING WILSON´S ELEMENT[J]. Acta mathematica scientia, Series B, 2013 , 33(3) : 839 -846 . DOI: 10.1016/S0252-9602(13)60043-0
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