Weber, H (1994). A multigrid method for a Petrov-Galerkin discretization of the Stokes equations. Numerische Mathematik, 66(4):525-541.
We introduce a multigrid method for the solution of the discrete Stokes equations, arising from a Petrov-Galerkin formulation. The stiffness matrix is nonsymmetric but coercive, hence we consider smoothing iterations which are not suitable for usual indefinite problems. In this report, we prove convergence for a multigrid method with Richardson iteration in the smoothing part.
We introduce a multigrid method for the solution of the discrete Stokes equations, arising from a Petrov-Galerkin formulation. The stiffness matrix is nonsymmetric but coercive, hence we consider smoothing iterations which are not suitable for usual indefinite problems. In this report, we prove convergence for a multigrid method with Richardson iteration in the smoothing part.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Computational Mathematics
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Applied Mathematics, Computational Mathematics |
| Language: | English |
| Date: | 1994 |
| Deposited On: | 29 Nov 2010 16:29 |
| Last Modified: | 23 Jan 2022 14:46 |
| Publisher: | Springer |
| ISSN: | 0029-599X |
| OA Status: | Closed |
| Free access at: | Related URL. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1007/BF01385711 |
| Related URLs: | http://www.digizeitschriften.de/dms/img/?PPN=PPN362160546_0066&DMDID=dmdlog31 |
Weber, H