Orthogonally correction techniques in superconvergence analysis
Chuanmiao Chen 11 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
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