EXPLICIT ERROR ESTIMATE FOR THE NONCONFORMING WILSON´S ELEMENT

doi:10.1016/S0252-9602(13)60043-0

Abstract

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

CLC Number:

65N15

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.

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