The Mathematical Institute, University of Oxford, Eprints Archive

A robust multigrid method for the time-dependent Stokes problem

Takacs, Stefan (2013) A robust multigrid method for the time-dependent Stokes problem. Technical Report. Unspecified. (Submitted)

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Abstract

In the present paper we propose an all-at-once multigrid method for generalized Stokes flow problems. Such problems occur as subproblems in implicit time-stepping approaches for time-dependent Stokes problems. The discretized optimality system is a large scale linear system whose condition number depends on the grid size of the spacial discretization and of the length of the time step. Recently, for this problem an all-at-once multigrid method has been proposed, where in each smoothing step the Poisson problem has to be solved (approximatively) for the pressure field. In the present paper, we propose an all-at-once multigrid method where the solution of such subproblems is not needed. We prove that the proposed method shows robust convergence behavior in the grid size of the spacial discretization and of the length of the time-step.

Item Type:Technical Report (Technical Report)
Subjects:D - G > Fluid mechanics
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1706
Deposited By: Lotti Ekert
Deposited On:26 Jun 2013 08:13
Last Modified:29 May 2015 19:24

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