Abstract
We consider a sequential and a parallel version of a multigrid method for a finite element discretization of the stationary incompressible Navier-Stokes equations. The sequential algorithm is based on a blockwise Gauss-Seidel smoother which passes successively through all elements of the domain using the already updated values from the previous elements. In the parallel version this strategy is only possible within each subdomain of some domain decomposition. We study how this algorithmical difference affects the convergence rate of the parallel multigrid method compared with the sequential one and investigate its effect on the numerical efficiency of our parallel solver. Especially we are interested in the case of a large number of subdomains.
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© 1995 Springer Fachmedien Wiesbaden
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Schieweck, F. (1995). Multigrid Convergence Rates of a Sequential and a Parallel Navier-Stokes Solver. In: Hackbusch, W., Wittum, G. (eds) Fast Solvers for Flow Problems. Notes on Numerical Fluid Mechanics (NNFM). Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14125-9_21
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DOI: https://doi.org/10.1007/978-3-663-14125-9_21
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-07649-8
Online ISBN: 978-3-663-14125-9
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