Year: 2005
Author: J.-L. Guermond
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 3 : pp. 345–354
Abstract
This paper analyzes a nonstandard form of the Stokes problem where the mass conservation equation is expressed in the form of a Poisson equation for the pressure. This problem is shown to be well-posed in the $d$-dimensional torus. A nonconforming approximation is proposed and, contrary to what happens when using the standard saddle-point formulation, the proposed setting is shown to yield optimal convergence for every pairs of approximation spaces.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-IJNAM-935
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 3 : pp. 345–354
Published online: 2005-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Stokes equations finite elements nonconforming approximation incompressible flows and Poisson equation.