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Bahaj, Mohamed
- Analysis and Convergence of Finite Volume Method Based on Nonconforming Rotated Bilinears for Stokes Problem
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Authors
Mohamed Bahaj
1,
Anas Rachid
1
Affiliations
1 Department of Mathematics and informatics, Faculty of Sciences and Technology, University Hassan I, B.P.:577 Route de Casablanca, Settat, MA
1 Department of Mathematics and informatics, Faculty of Sciences and Technology, University Hassan I, B.P.:577 Route de Casablanca, Settat, MA
Source
International Journal of Computational and Applied Mathematics, Vol 7, No 1 (2012), Pagination: 1–12Abstract
We consider a finite volume scheme for Stokes problem based on the rotated Q<SUP>1</SUP> nonconforming finite element method. By examining the relationship beteween finite volume element and finite element approximations, an error estimate of optimal order in the H<SUP>1</SUP>-norm for velocity and an estimate in the L<SUP>2</SUP>-norm for pressure are obtained. An optimal error estimate in the L<SUP>2</SUP>-norm for the velocity is derived under an additional assumption on the body forceKeywords
Finite Volume Method, Rotated Bilinear Element, Stokes, Duality, Optimal Order
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