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Superconvergence of a finite element method for the biharmonic equation

Authors :
Lin, Jiafu
Lin, Qun
Source :
Numerical Methods for Partial Differential Equations; May 2002, Vol. 18 Issue: 3 p420-427, 8p
Publication Year :
2002

Abstract

Ciarlet‐Raviart's scheme is a finite element method for solving the mixed formulation of the biharmonic equation. So far, there has been no superconvergence for the vorticity from this method if a general rectangular mesh is used. In this article, we deal with the biquadratic elements under the uniform rectangular mesh and prove for the first time a superconvergence for the vorticity. © 2002 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 18: 420–427, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/num.10010

Details

Language :
English
ISSN :
0749159X and 10982426
Volume :
18
Issue :
3
Database :
Supplemental Index
Journal :
Numerical Methods for Partial Differential Equations
Publication Type :
Periodical
Accession number :
ejs2147761
Full Text :
https://doi.org/10.1002/num.10010