Parallel Schwarz Domain Decomposition Solvers with Applications in Elasticity and Poroelasticity

0482327 - ÚGN 2018 RIV US eng C - Conference Paper (international conference)
Blaheta, Radim - Starý, Jiří - Jakl, Ondřej
Parallel Schwarz Domain Decomposition Solvers with Applications in Elasticity and Poroelasticity.
Proceedings of the international conference on numerical analysis and applied mathematics 2016 (ICNAAM-2016). Melville: American Institute of Physics, 2017, č. článku UNSP 340003-1. AIP Conference Proceedings, 1863. ISBN 978-0-7354-1538-6. ISSN 0094-243X.
[International Conference on Numerical Analysis and Applied Mathematics (ICNAAM). Rhodes (GR), 19.09.2016-25.09.2016]
R&D Projects: GA MŠMT LQ1602; GA MŠMT LD15105
Institutional support: RVO:68145535
Keywords : preconditioners * matrices * elasticity
OECD category: Applied mathematics
http://aip.scitation.org/doi/abs/10.1063/1.4992510?journalCode=apc

The paper addresses the construction of parallel iterative solvers for problems of elasticity and poroelasticity. It is shown that such solvers can be built on the basis of conjugate gradient (CG) or another Krylov space iterative method with preconditioning by one- or two-level additive Schwarz methods. The special points of interest are efficient implementation of the two-level Schwarz method on supercomputers and new application of the Schwarz method in three-field poroelasticity formulated in displacements, fluid velocities and pressures.
Permanent Link: http://hdl.handle.net/11104/0277743