Neumann-Neumann methods for a DG discretization on geometrically nonconforming substructures

A discontinuous Galerkin discretization for second order elliptic equations with discontinuous coefficients in 2D is considered. The domain of interest Ω is assumed to be a union of polygonal substructures Ωi of size O(Hi). We allow this substructure decomposition to be geometrically nonconforming....

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Bibliographic Details

Published in:	Numerical methods for partial differential equations Vol. 28; no. 4; pp. 1194 - 1226
Main Authors:	Dryja, Maksymilian, Galvis, Juan, Sarkis, Marcus
Format:	Journal Article
Language:	English
Published:	Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.07.2012
Subjects:	discontinuous Galerkin method elliptic problems with discontinuous coefficients finite element method interior penalty discretization Neumann-Neumann algorithms nonconforming decomposition preconditioners Schwarz methods
ISSN:	0749-159X, 1098-2426
Online Access:	Get full text
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