Int. J. Numer. Anal. Mod., 2 (2005), pp. 31-42.


Orthogonally correction techniques in superconvergence analysis

Chuanmiao Chen 1

1 Institute of Computation, Hunan Normal University, Changsha, Hunan 410081, P.R.China

Received by the editors June 16, 2004 and, in revised form, October 13, 2004
Abstract

A technique of orthogonality correction in an element is introduced and applied to superconvergence analysis in finite element method. Ultraconvergence results for rectangular elements of odd degree n >= 3 are derived in the case of variable coefficients.

AMS subject classifications: 65N30
Key words: finite elements; rectangular element; orthogonality correction; superconvergence and ultraconvergence
Email: cmchen@hunnu.edu.cn
 

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