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Analysis and Convergence of Finite Volume Method Based on Nonconforming Rotated Bilinears for Stokes Problem

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Abstract & Overview

We consider a finite volume scheme for Stokes problem based on the rotated Q 1 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 1 -norm for velocity and an estimate in the L 2 -norm for pressure are obtained. An optimal error estimate in the L 2 -norm for the velocity is derived under an additional assumption on the body force

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Mohamed Bahaj, Anas Rachid (2012). Analysis and Convergence of Finite Volume Method Based on Nonconforming Rotated Bilinears for Stokes Problem. International Journal of Computational and Applied Mathematics, 7(1), 1–12. https://library.shubhaarti.in/content/bd4f3db8-4cc0-4e1b-bc91-9159ac8a44bc

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Bahaj, M., & Rachid, A. (2012). Analysis and Convergence of Finite Volume Method Based on Nonconforming Rotated Bilinears for Stokes Problem. International Journal of Computational and Applied Mathematics, 7(1), 1–12. https://library.shubhaarti.in/content/bd4f3db8-4cc0-4e1b-bc91-9159ac8a44bc
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