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Title of Journal: Comput Visual Sci

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Abbravation: Computing and Visualization in Science

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Springer Berlin Heidelberg

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DOI

10.1016/0022-0965(75)90112-5

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1433-0369

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Vorticity–velocity–pressure formulation for Navier

Authors: Mohamed Amara Daniela CapatinaPapaghiuc Eliseo ChacónVera David Trujillo
Publish Date: 2004/03/01
Volume: 6, Issue: 2-3, Pages: 47-52
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Abstract

We analyze here the bidimensional boundary value problems for both Stokes and Navier–Stokes equations in the case where non standard boundary conditions are imposed A wellposed vorticity–velocity–pressure formulation for the Stokes problem is introduced and its finite element discretization which needs some stabilization is then studied We consider next the approximation of the Navier–Stokes equations based on the previous approximation of the Stokes equations For both problems the convergence of the numerical approximation and optimal error estimates are obtained Some numerical tests are also presented

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