On Robust Parallel Preconditioning for Incompressible Flow Problems

Timo Heister (), Gert Lube and Gerd Rapin
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Timo Heister: University of Göttingen, Department of Mathematics
Gert Lube: University of Göttingen, Department of Mathematics
Gerd Rapin: VW, Interior Engineering

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 443-450 from Springer

Abstract: Abstract We consider time-dependent flow problems discretized with higher order finite element methods. Applying a fully implicit time discretization or an IMEX scheme leads to a saddle point system. This linear system is solved using a preconditioned Krylov method, which is fully parallelized on a distributed memory parallel computer.We study a robust block-triangular preconditioner and besides numerical results of the parallel performance we explain and evaluate the main building blocks of the parallel implementation.

Keywords: GMRES Algorithm; Saddle Point System; Oseen Problem; Implicit Time Discretization; IMEX Scheme (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_47

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DOI: 10.1007/978-3-642-11795-4_47

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