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Article Dans Une Revue International Journal for Numerical Methods in Biomedical Engineering Année : 2008

A simple pressure stabilization method for the Stokes equation

Résumé

In this paper, we consider a stabilization method for the Stokes problem, using equal-order interpolation of the pressure and velocity, which avoids the use of the mesh size parameter in the stabilization term. We show that our approach is stable for equal-order interpolation in the case of piecewise linear and piecewise quadratic polynomials on triangles. In the case of linear polynomials, we retrieve a well-known idea of using mass lumping as a stabilization mechanism.
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hal-01352889 , version 1 (10-08-2016)

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Roland Becker, Peter Hansbo. A simple pressure stabilization method for the Stokes equation. International Journal for Numerical Methods in Biomedical Engineering, 2008, 24 (11), pp.1421-1430. ⟨10.1002/cnm.1041⟩. ⟨hal-01352889⟩

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