Name
Title | ||
|---|---|---|
Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations |
Abstract | ||
|---|---|---|
We consider an abstract parameter dependent saddle-point problem and present a general framework for analyzing robust Schur complement preconditioners. The abstract analysis is applied to a generalized Stokes problem, which yields robustness of the Cahouet-Chabard preconditioner. Motivated by models for two-phase incompressible flows we consider a generalized Stokes interface problem. Application of the general theory results in a new Schur complement preconditioner for this class of problems. The robustness of this preconditioner with respect to several parameters is treated. Results of numerical experiments are given that illustrate robustness properties of the preconditioner. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/s00211-006-0031-4 | Numerische Mathematik |
Keywords | Field | DocType |
general theory result,generalized stokes equations,general framework,robustness property,parameter dependent saddle point,two-phase flow,generalized stokes,new schur,abstract analysis,abstract parameter dependent saddle-point,preconditioning,cahouet-chabard preconditioner,uniform preconditioners,interface problem,schur complement,generalized stokes problem,interface equation,stokes equation,incompressible flow,two phase flow | Saddle,Mathematical optimization,Saddle point,Preconditioner,Mathematical analysis,Robustness (computer science),Incompressible flow,Numerical analysis,Stokes flow,Schur complement,Mathematics | Journal |
Volume | Issue | ISSN |
105 | 1 | 0945-3245 |
Citations | PageRank | References |
22 | 1.84 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Maxim A. Olshanskii | 1 | 326 | 42.23 |
| Jörg Peters | 2 | 22 | 1.84 |
| Arnold Reusken | 3 | 305 | 44.91 |