Journal
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume 26, Issue 4, Pages 1192-1213Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S1064827503402837
Keywords
finite element method; least-squares fitting; Zienkiewicz-Zhu patch recovery; superconvergence; ultraconvergence
Categories
Ask authors/readers for more resources
This is the first in a series of papers in which a new gradient recovery method is introduced and analyzed. It is proved that the method is superconvergent for translation invariant finite element spaces of any order. The method maintains the simplicity, efficiency, and superconvergence properties of the Zienkiewicz-Zhu patch recovery method. In addition, for uniform triangular meshes, the method is superconvergent for the linear element under the chevron pattern, and ultraconvergent at element edge centers for the quadratic element under the regular pattern. Applications of this new gradient recovery technique will be discussed in forthcoming papers.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available