On a parallel implementation of the BDDC method and its application to the Stokes problem

0334735 - MÚ 2010 RIV US eng C - Conference Paper (international conference)
Šístek, Jakub - Burda, P. - Mandel, J. - Damašek, Alexandr - Novotný, Jaroslav - Sousedík, Bedřich
On a parallel implementation of the BDDC method and its application to the Stokes problem.
Proceedings of ParCFD 2009. Moffett Field, California: NASA Ames Research Center, 2009 - (Biswas, R.), s. 183-187. ISBN 978-0-578-02333-5.
[21st International Conference on Parallel Computational Fluid Dynamics. Moffett Field (US), 18.05.2009-22.05.2009]
Institutional research plan: CEZ:AV0Z10190503
Keywords : BDDC * domain decomposition * iterative substructuring * Stokes flow
Subject RIV: BA - General Mathematics

The Balancing Domain Decomposition by Constraints (BDDC) method is one of the most advanced preconditioners for very large problems with symmetric positive definite matrices that arise from FEM analysis. It is very suitable for massively parallel computers. In presented paper, a parallel implementation of the method is described that is based on formulation of BDDC with global matrices without explicit coarse problem. It is based on the MUMPS parallel solver. The implementation is successfully applied to several problems of Stokes flow and BDDC is shown to be a very promising method also for this class of problems.
Permanent Link: http://hdl.handle.net/11104/0179387