Year: 2005
Author: Jan Brandts, Michal Křížek
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 1 : pp. 27–36
Abstract
For a model elliptic boundary value problem we will prove that on strongly regular families of uniform tetrahedral partitions of a pohyhedral domain, the gradient of the quadratic finite element approximation is superclose to the gradient of the quadratic Lagrange interpolant of the exact solution. This supercloseness will be used to construct a post-processing that increases the order of approximation to the gradient in the global $L^2$-norm.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8793
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 1 : pp. 27–36
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Tetrahedron Superconvergence Supercloseness Post-processing Gauss points.