Year: 2009
Author: Zhihao Ge, Yinnian He, Lingyu Song
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 2 : pp. 273–287
Abstract
In the paper, an inf-sup stabilized finite element method by multiscale functions for the Stokes equations is discussed. The key idea is to use a Petrov-Galerkin approach based on the enrichment of the standard polynomial space for the velocity component with multiscale functions. The inf-sup condition for $P_1$-$P_0$ triangular element (or $Q_1$-$P_0$ quadrilateral element) is established. And the optimal error estimates of the stabilized finite element method for the Stokes equations are obtained.
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/2009-AAMM-8369
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 2 : pp. 273–287
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: stabilized finite element method multiscale functions Petrov-Galerkin approach inf-sup condition.