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A multigrid method for a Petrov-Galerkin discretization of the Stokes equations


Weber, H (1994). A multigrid method for a Petrov-Galerkin discretization of the Stokes equations. Numerische Mathematik, 66(4):525-541.

Abstract

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.

Abstract

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1994
Deposited On:29 Nov 2010 16:29
Last Modified:05 Apr 2016 13:28
Publisher:Springer
ISSN:0029-599X
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

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