A simple pressure stabilization method for the Stokes equation
Artikel i vetenskaplig tidskrift, 2008

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.

stabilization

equal-order interpolation

Stokes problem

Författare

Roland Becker

Universite de Pau et des Pays de L'Adour

Peter F G Hansbo

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Communications in Numerical Methods in Engineering

1069-8299 (ISSN) 1099-0887 (eISSN)

Vol. 24 1421-1430

Ämneskategorier

Beräkningsmatematik

Strömningsmekanik och akustik

DOI

10.1002/cnm.1041