Original title: Some practical aspects of parallel adaptive BDDC method
Authors: Šístek, Jakub ; Mandel, J. ; Sousedík, B.
Document type: Papers
Conference/Event: Applications of Mathematics 2012, Prague (CZ), 2012-05-02 / 2012-05-05
Year: 2012
Language: eng
Abstract: We describe a parallel implementation of the Balancing Domain Decomposition by Constraints (BDDC) method enhanced by an adaptive construction of coarse problem. The method is designed for numerically difficult problems, where standard choice of continuity of arithmetic averages across faces and edges of subdomains fails to maintain the low condition number of the preconditioned system. Problems of elasticity analysis of bodies consisting of different materials with rapidly changing stiffness may represent one class of such challenging problems. The adaptive selection of constraints is shown to significantly increase the robustness of the method for this class of problems. However, since the cost of the set-up of the preconditioner with adaptive constraints is considerably larger than for the standard choices, computational feasibility of the presented implementation is obtained only for large contrasts of material coefficients.
Keywords: BDDC; Feti methods; substructuring methods
Host item entry: Proceedings of the International Conference Applications of Mathematics 2012, ISBN 978-80-85823-60-8
Note: Související webová stránka: http://hdl.handle.net/10338.dmlcz/702911

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0273641

Permalink: http://www.nusl.cz/ntk/nusl-363535


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