On a global superconvergence of the gradient of linear triangular elements
Abstract
We study a simple superconvergent scheme which recovers the gradient when solving a second-order elliptic problem in the plane by the usual linear elements. The recovered gradient globally approximates the true gradient even by one order of accuracy higher in the L2-norm than the piecewise constant gradient of the Ritz—Galerkin solution. A superconvergent approximation to the boundary flux is presented as well.
Main Authors
Format
Articles
Journal article
Published
1987
Series
Subjects
Publisher
North-Holland
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201902201597Use this for linking
Review status
Peer reviewed
ISSN
0377-0427
DOI
https://doi.org/10.1016/0377-0427(87)90018-5
Language
English
Published in
Journal of Computational and Applied Mathematics
Citation
- Křižek, M., Neittaanmäki, P. (1987). On a global superconvergence of the gradient of linear triangular elements. Journal of Computational and Applied Mathematics, 18 (2), 221-233. doi:10.1016/0377-0427(87)90018-5
License
Copyright© the Authors & North-Holland