Title
A Robust Multigrid Method for the Time-Dependent Stokes Problem
Abstract
We propose a coupled multigrid method for generalized Stokes flow problems. Such problems occur as subproblems in implicit time-stepping approaches for time-dependent Stokes problems. The discretized Stokes system is a large-scale linear system whose condition number depends on the grid size of the spatial discretization and of the length of the time-step. Recently, for this problem a coupled multigrid method has been proposed, where in each smoothing step a Poisson problem has to be solved (approximately) for the pressure field. In the present paper, we propose a coupled 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 spatial discretization and of the length of the time-step.
Year
DOI
Venue
2015
10.1137/140969658
SIAM JOURNAL ON NUMERICAL ANALYSIS
Keywords
Field
DocType
generalized Stokes problem,coupled multigrid methods,robustness
Convergence (routing),Discretization,Mathematical optimization,Condition number,Linear system,Mathematical analysis,Smoothing,Numerical analysis,Stokes flow,Mathematics,Multigrid method
Journal
Volume
Issue
ISSN
53
6
0036-1429
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
Stefan Takacs1283.93