Year: 2012
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 2 : pp. 449–459
Abstract
In this paper, we study a local stabilized nonconforming finite element method for the generalized Stokes equations. This nonconforming method is based on two local Gauss integrals, and uses the equal order pairs of mixed finite elements on quadrilaterals. Optimal order error estimates are obtained for velocity and pressure. Numerical experiments performed agree with the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-IJNAM-641
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 2 : pp. 449–459
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Generalized Stokes equations nonconforming quadrilateral finite elements optimal error estimates inf-sup condition numerical experiments stability.