TITLE

SOME REMARKS ON RESIDUAL-BASED STABILISATION OF INF-SUP STABLE DISCRETISATIONS OF THE GENERALISED OSEEN PROBLEM

AUTHOR(S)
Matthies, G.; Lube, G.; Röhe, L.
PUB. DATE
October 2009
SOURCE
Computational Methods in Applied Mathematics;2009, Vol. 9 Issue 4, p368
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We consider residual-based stabilised finite element methods for the generalised Oseen problem. The unique solvability based on a modified stability condition and an error estimate are proved for inf-sup stable discretisations of velocity and pressure. The analysis highlights the role of an additional stabilisation of the incompressibility constraint. It turns out that the stabilisation terms of the streamline-diffusion (SUPG) type play a less important role. In particular, there exists a conditional stability problem of the SUPG stabilisation if two relevant problem parameters tend to zero. The analysis extends a recent result to general shape-regular meshes and to discontinuous pressure interpolation. Some numerical observations support the theoretical results.
ACCESSION #
47878291

 

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