Application of the parallel BDDC preconditioner to the Stokes flow

Details Application of the parallel BDDC preconditioner to the Stokes flow Application of the parallel BDDC preconditioner to the Stokes flow

2011-01-10

arxiv.org/abs/1101.1775v3

Mathematics

Numerical Analysis

27 pages, 5 figures, 7 tables

Scientific paper

10.1016/j.compfluid.2011.01.002

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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