Editor-in-Chief: Hoppe, Ronald H. W. / Kuznetsov, Yuri
null Carstensen, Carsten / Chen, Zhangxin / Dryja, M. / Feistauer, Miloslav / Glowinski, R. / Hackbusch, Wolfgang H.C. / Langer, Ulrich / Lazarov, Raytcho / Neittaanmaki, P. / Pironneau, O. / Quarteroni, Alfio / Rannacher, Rolf / Shi, Zhong-ci / Tyrtyshnikov, Eugene E. / Widlund, O. / Zou, Jun / Axelsson, Owe / Bjorstad, Petter E. / Kawarada, Hideo
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*Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana, 70803-4918.
Citation Information: Journal of Numerical Mathematics. Volume 19, Issue 3, Pages 165–187, ISSN (Online) 1569-3953, ISSN (Print) 1570-2820, DOI: 10.1515/jnum.2011.008, November 2011
Publication History:
We propose and analyze overlapping two-level additive Schwarz preconditioners for the local discontinuous Galerkin discretization. We prove that the condition number of the preconditioned system is bounded by C[1 + (H/δ)], where H represents the coarse mesh size, δ measures the overlap among the subdomains, and the constant C is independent of H, δ, the fine mesh size h and the number of subdomains Ns . Numerical results are presented showing the scalability of the method.
Keywords:: domain decomposition; local discontinuous Galerkin method; preconditioning, parallel computing
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