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Numerical Mathematics and Advanced Applications 2009 pp 443–450Cite as

On Robust Parallel Preconditioning for Incompressible Flow Problems

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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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Göttingen, Göttingen, Germany

    Timo Heister & Gert Lube

  2. VW, Interior Engineering, Wolfsburg, Germany

    Gerd Rapin

Authors
  1. Timo Heister
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  2. Gert Lube
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  3. Gerd Rapin
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Corresponding author

Correspondence to Timo Heister .

Editor information

Editors and Affiliations

  1. Dept. of Information Technology, Uppsala University, Uppsala, 751 05, Sweden

    Gunilla Kreiss

  2. Dept. of Information Technology, Uppsala University, Uppsala, 751 05, Sweden

    Per Lötstedt

  3. Dept. of Information Technology, Uppsala University, Uppsala, 751 05, Sweden

    Axel Målqvist

  4. Dept. of Information Technology, Uppsala University, Uppsala, 751 05, Sweden

    Maya Neytcheva

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© 2010 Springer-Verlag Berlin Heidelberg

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Heister, T., Lube, G., Rapin, G. (2010). On Robust Parallel Preconditioning for Incompressible Flow Problems. In: Kreiss, G., Lötstedt, P., Målqvist, A., Neytcheva, M. (eds) Numerical Mathematics and Advanced Applications 2009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11795-4_47

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