Application of the parallel BDDC preconditioner to the Stokes flow |
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| Authors: | Jakub &#x í stek, Bed&#x ich Sousedí k, Pavel Burda, Jan Mandel,Jaroslav Novotný |
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| Affiliation: | a Institute of Mathematics, Academy of Sciences of the Czech Republic, Žitná 25, CZ – 115 67 Prague 1, Czech Republic;b Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO 80217-3364, USA;c Institute of Thermomechanics, Academy of Sciences of the Czech Republic, Dolejškova 1402/5, CZ – 182 00 Prague 8, Czech Republic;d Department of Mathematics, Faculty of Mechanical Engineering, Czech Technical University in Prague, Karlovo náměstí 13, CZ – 121 35 Prague 2, Czech Republic;e Department of Mathematics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, CZ – 166 29 Prague 6, Czech Republic |
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| Abstract: | A parallel implementation of the Balancing Domain Decomposition by Constraints (BDDC) method is described. It is based on formulation of BDDC with global matrices without explicit coarse problem. The implementation is based on the MUMPS parallel solver for computing the approximate inverse used for preconditioning. It is successfully applied to several problems of Stokes flow discretized by Taylor–Hood finite elements and BDDC is shown to be a promising method also for this class of problems. |
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| Keywords: | BDDC Domain decomposition Iterative substructuring Stokes flow |
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