Some practical aspects of parallel adaptive BDDC method

0477260 - MÚ 2018 RIV CZ eng C - Conference Paper (international conference)
Šístek, Jakub - Mandel, J. - Sousedík, B.
Some practical aspects of parallel adaptive BDDC method.
Proceedings of the International Conference Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012 - (Brandts, J.; Chleboun, J.; Korotov, S.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 253-266. ISBN 978-80-85823-60-8.
[Applications of Mathematics 2012. Prague (CZ), 02.05.2012-05.05.2012]
Institutional support: RVO:67985840
Keywords : substructuring methods * BDDC * Feti methods
OECD category: Applied mathematics
http://hdl.handle.net/10338.dmlcz/702911

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.
Permanent Link: http://hdl.handle.net/11104/0273641