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Domain Decomposition Preconditioning for Discontinuous Galerkin Approximations of Convection-Diffusion Problems

Abstract:

In the classical Schwarz framework for conforming approximations of nonsymmetric and indefinite problems [5, 6] the finite element space is optimally decomposed into the sum of a finite number of uniformly overlapped, two-level subspaces. In each iteration step, a coarse mesh problem and a number of smaller linear systems, which correspond to the restriction of the original problem to subregions, are solved instead of the large original system of equations. Based on this decomposition, domain...

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Publication status:
Published

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Authors


Antonietti, PF More by this author
Journal:
DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XVIII
Volume:
70
Pages:
259-266
Publication date:
2009
DOI:
ISSN:
1439-7358
URN:
uuid:2793e70f-8bec-4475-a223-1d127a3fcd38
Source identifiers:
190094
Local pid:
pubs:190094
Language:
English

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