Error estimates of triangular finite elements under a weak angle condition

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:230

Article

Mao, Shipeng¹  Shi, Zhongci¹ 

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China

关键词: Interpolation error estimates;    Bramble-Hilbert lemma;    Maximal angle condition;   

DOI  :  10.1016/j.cam.2008.11.008

来源: Elsevier

【 摘 要 】

In this note, by analyzing the interpolation operator of Girault and Raviart given in [V. Girault, P.A, Raviart, Finite element methods for Navier-Stokes equations, Theory and algorithms, in: Springer Series in Computational Mathematics, Springer-Verlag, Berlin, 1986] over triangular meshes, we prove optimal interpolation error estimates for Lagrange triangular finite elements of arbitrary order under the maximal angle condition in a unified and simple way. The key estimate is only an application of the Bramble-Hilbert lemma. (C) 2008 Elsevier B.V. All rights reserved.

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