Schwarz DD method for analysis of geocomposites

0333164 - ÚGN 2010 RIV GB eng C - Konferenční příspěvek (zahraniční konf.)
Blaheta, Radim - Jakl, Ondřej - Starý, Jiří - Krečmer, Karel
Schwarz DD method for analysis of geocomposites.
Proceedings of the 12th International Conference on Civil, Structural and Environmental Engineering Computing. Stirlingshire: Civil - Comp Press, 2009 - (Topping, B.; Costa Neves, L.; Barros, R.), s. 1-12. ISBN 978-1-905088-31-7.
[International Conference on Civil, Structural and Environmental Engineering Computing/12./. Funchal (PT), 01.09.2009-04.09.2009]
Grant CEP: GA ČR GA105/09/1830
Výzkumný záměr: CEZ:AV0Z30860518
Klíčová slova: homogenization * finite elements * additive Schwarz preconditioning
Kód oboru RIV: BA - Obecná matematika

This paper shows an implementation of the numerical homogenization procedure based on averaging micro strains and micro stresses computed by the finite element method. The technique requires the finite element analysis of large scale 3D elasticity problems with heterogeneous microstructure. Therefore we discuss iterative solution, special case of pure Neumann boundary problems, use of overlapping domain decomposition and parallelizable Schwarz-type preconditioners and use of an algebraic coarse problem constructed by aggregation.
Trvalý link: http://hdl.handle.net/11104/0178222