A Discontinuous Coarse Spaces (DCS) Algorithm for Cell Centered Finite Volumes based Domain Decomposition Methods: the DCS-RJMin algorithm - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2014

A Discontinuous Coarse Spaces (DCS) Algorithm for Cell Centered Finite Volumes based Domain Decomposition Methods: the DCS-RJMin algorithm

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 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.
Fichier principal
Vignette du fichier
Santugini_RJMinAlgorithm_Preprint_HalV1.pdf (165.66 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00929807 , version 1 (13-01-2014)

Identifiers

Cite

Kévin Santugini-Repiquet. A Discontinuous Coarse Spaces (DCS) Algorithm for Cell Centered Finite Volumes based Domain Decomposition Methods: the DCS-RJMin algorithm. 2014. ⟨hal-00929807⟩
140 View
73 Download

Altmetric

Share

Gmail Facebook X LinkedIn More