A parallel finite element method for convection-diffusion problems

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Abstract

The robust Parallel Finite Element Method examined in [5] and [4]. It is an element-wise parallel iterative solution method based on a Red-Black domain decomposition. Convection-diffusion problems are solved in an optimal order for a method which makes use of not more than local communication. For the parallellism, the recent paper [8] shows that a near perfect load-balance can be obtained for two-dimensional problems. This paper proves that one of the conditions which is sufficient in the two-dimensional case, unexpectedly is not so for the three-dimensional case.
Original languageEnglish
Title of host publicationProgress in Industrial Mathematics at ECMI 2004 (Proceedings 13th European Conference on Mathematics for Industry, Eindhoven, The Netherlands, June 21-25, 2004)
EditorsA. Di Bucchianico, R.M.M. Mattheij, M.A. Peletier
Place of PublicationBerlin
PublisherSpringer
Pages504-507
ISBN (Print)3-540-28073-1
DOIs
Publication statusPublished - 2006

Publication series

NameMathematics in Industry
Volume9
ISSN (Print)1612-3956

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