TITLE

A REFINED MIXED FINITE ELEMENT METHOD FOR STATIONARY NAVIER -- STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS USING LAGRANGE MULTIPLIERS

AUTHOR(S)
Nicaise, S.; Paquet, L.; Rafilipojaona
PUB. DATE
January 2007
SOURCE
Computational Methods in Applied Mathematics;2007, Vol. 7 Issue 1, p83
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
This paper is concerned with a dual mixed formulation of the Navier - Stokes system in a polygonal domain of the plane with mixed boundary conditions and its numerical approximation. The Neumann boundary condition is imposed using a Lagrange multiplier corresponding to the velocity field. Moreover, the strain tensor and the antisymmetric gradient tensor (vorticity), quantities of practical interest, are introduced as new unknowns. The problem is then approximated by a mixed finite element method. Quasi-optimal error estimates are finally obtained using refined meshes near singular corners.
ACCESSION #
25068688

 

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