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Analysis and Convergence of Finite Volume Method Based on Nonconforming Rotated Bilinears for Stokes Problem
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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 force
Keywords
Finite Volume Method, Rotated Bilinear Element, Stokes, Duality, Optimal Order
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