Application of the parallel BDDC preconditioner to the Stokes flow
| dc.contributor.author | Šístek, Jakub | |
| dc.contributor.author | Sousedík, Bedřich | |
| dc.contributor.author | Burda, Pavel | |
| dc.contributor.author | Mandel, Jan | |
| dc.contributor.author | Novotný, Jaroslav | |
| dc.date.accessioned | 2021-10-27T17:27:16Z | |
| dc.date.available | 2021-10-27T17:27:16Z | |
| dc.date.issued | 2011-01-08 | |
| dc.description.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. | en_US |
| dc.description.sponsorship | This research has been supported by the Czech Science Foundation under Grant GA CR 106/08/0403, by National Science Foundation under Grant DMS-0713876, by the Academy of Sciences of the CR under Grant IAA100760702, and by projects MSM 6840770001 and MSM 6840770010. It has been also supported by Institutional Research Plan AV0Z10190503. A part of this work was done during Jakub S´ıstek’s visit at the University of Colorado Denver. ˇ Jakub S´ıstek also thanks to the European Science Foundation OPTPDE ˇ (Optimization with PDE Constraints) Network for the financial support of attending the 10th ICFD Conference on Numerical Methods for Fluid Dynamics. | en_US |
| dc.description.uri | https://www.sciencedirect.com/science/article/abs/pii/S0045793011000053?via%3Dihub#! | en_US |
| dc.format.extent | 27 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.genre | preprints | en_US |
| dc.identifier | doi:10.13016/m2pvdo-ospu | |
| dc.identifier.citation | 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 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.compfluid.2011.01.002 | |
| dc.identifier.uri | http://hdl.handle.net/11603/23165 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | en_US |
| dc.title | Application of the parallel BDDC preconditioner to the Stokes flow | en_US |
| dc.type | Text | en_US |
| dcterms.creator | https://orcid.org/0000-0002-8053-8956 | en_US |