Name
Abstract | ||
|---|---|---|
We consider a stationary Stokes problem with a piecewise constant viscosity coefficient. For the variational formulation of this problem we prove a well-posedness result in which the constants are uniform with respect to the jump in the viscosity coefficient. We apply a standard discretization with a pair of LBB stable finite element spaces. The main result of the paper is an infsup result for the discrete problem that is uniform with respect to the jump in the viscosity coefficient. From this we derive a robust estimate for the discretization error. We prove that the mass matrix with respect to some suitable scalar product yields a robust preconditioner for the Schur complement. Results of numerical experiments are presented that illustrate this robustness property. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/s00211-005-0646-x | Numerische Mathematik |
Keywords | DocType | Volume |
stationary stokes problem,main result,discretization error,infsup result,robust estimate,stokes interface problem,discrete problem,well-posedness result,piecewise constant viscosity coefficient,robust preconditioner,viscosity coefficient,scalar product,finite element,robust estimator,schur complement | Journal | 103 |
Issue | ISSN | Citations |
1 | 0945-3245 | 20 |
PageRank | References | Authors |
2.14 | 6 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Maxim A. Olshanskii | 1 | 326 | 42.23 |
| Arnold Reusken | 2 | 305 | 44.91 |