Application of the parallel BDDC preconditioner to the Stokes flow

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https://www.sciencedirect.com/science/article/abs/pii/S0045793011000053?via%3Dihub#!

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https://doi.org/10.1016/j.compfluid.2011.01.002
 http://hdl.handle.net/11603/23165

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UMBC Mathematics and Statistics Department

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https://orcid.org/0000-0002-8053-8956

Date

2011-01-08

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journal articles
preprints
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Šístek, Jakub et al.; Application of the parallel BDDC preconditioner to the Stokes flow; Computers & Fluids, Volume 46, Issue 1, Pages 429-435, 8 January, 2011; https://doi.org/10.1016/j.compfluid.2011.01.002

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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.