A Discontinuous Coarse Spaces (DCS) Algorithm for Cell Centered Finite Volumes based Domain Decomposition Methods: the DCS-RJMin algorithm
SANTUGINI-REPIQUET, Kévin
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]
SANTUGINI-REPIQUET, Kévin
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]
Language
en
Document de travail - Pré-publication
English Abstract
In this paper, we introduce a new coarse space algorithm, the ''Discontinuous Coarse Space Robin Jump Minimizer'' (DCS-RJMin), to be used in conjunction with one-level domain decomposition methods (DDM). This new algorithm ...Read more >
In this paper, we introduce a new coarse space algorithm, the ''Discontinuous Coarse Space Robin Jump Minimizer'' (DCS-RJMin), to be used in conjunction with one-level domain decomposition methods (DDM). This new algorithm makes use of Discontinuous Coarse Spaces(DCS), and is designed for DDM that naturally produce discontinuous iterates such as Optimized Schwarz Methods(OSM). This algorithm is suitable both at the continuous level and for cell-centered finite volume discretizations. At the continuous level, we prove, under some conditions on the parameters of the algorithm, that the difference between two consecutive iterates goes to $0$. We also provide numerical results illustrating the convergence behavior of the DCS-RJMin algorithm.Read less <
English Keywords
domain decomposition methods
discontinuous coarse space
optimized Schwarz method
Origin
Hal imported