The L<sup>2</sup>-Norm Error Estimate of Nonconforming Finite Element Method for the 2nd Order Elliptic Problem with the Lowest Regularity
Year: 2000
Author: Lie-Heng Wang
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 3 : pp. 277–282
Abstract
The abstract $L^2$-norm error estimate of nonconforming finite element method is established. The uniformly $L^2$-norm error estimate is obtained for the nonconforming finite element method for the second order elliptic problem with the lowest regularity, i.e., in the case that the solution $u∈H^1(Ω)$ only. It is also shown that the $L^2$-norm error bound we obtained is one order higher than the energe-norm error bound.
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/2000-JCM-9041
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 3 : pp. 277–282
Published online: 2000-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: $L^2$-norm error estimate nonconforming f.e.m. lowest regularity.