Geodesic
A Discontinuous Galerkin like Coarse Space correction for Domain Decomposition Methods with continuous local spaces: the DCS-DGLC Algorithm
Kévin Santugini1
1 Institut Mathmatiques de Bordeaux
ESAIM. Proceedings, Tome 45 (2014), pp. 275-284.

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In this paper, we are interested in scalable Domain Decomposition Methods (DDM). To this end, we introduce and study a new Coarse Space Correction algorithm for Optimized Schwarz Methods(OSM): the DCS-DGLC algorithm. The main idea is to use a Discontinuous Galerkin like formulation to compute a discontinuous coarse space correction. While the local spaces remain continuous, the coarse space should be discontinuous to compensate the discontinuities introduced by the OSM at the interface between neighboring subdomains. The discontinuous coarse correction algorithm can be used not only with OSM but also with any one-level DDM that produce discontinuous iterates. While ideas from Discontinuous Galerkin(DG) are used in the computation of the coarse correction, the final aim of the DCS-DGLC algorithm is to compute in parallel the discrete solution to the classical non-DG finite element problem.
DOI : 10.1051/proc/201445028

Kévin Santugini 1

1 Institut Mathmatiques de Bordeaux 
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     title = {A {Discontinuous} {Galerkin} like {Coarse} {Space} correction for {Domain} {Decomposition} {Methods} with continuous local spaces: the {DCS-DGLC} {Algorithm}},
     journal = {ESAIM. Proceedings},
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Kévin Santugini. A Discontinuous Galerkin like Coarse Space correction for Domain Decomposition Methods with continuous local spaces: the DCS-DGLC Algorithm. ESAIM. Proceedings, Tome 45 (2014), pp. 275-284. doi : 10.1051/proc/201445028. http://geodesic.mathdoc.fr/articles/10.1051/proc/201445028/

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