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A discontinuous finite element-based domain decomposition method

✍ Scribed by Eduardo Gomes Dutra do Carmo; André Vinicius Celani Duarte

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
372 KB
Volume
190
Category
Article
ISSN
0045-7825

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✦ Synopsis

In this work, we introduce a somewhat unconventional ®nite element-based nonoverlapping domain decomposition method (the convenient space decomposition method (CSD)) for parallel computers that can be applied to a wide class of boundary value problems and which can only be implemented eciently, exclusively with primal variables, by means of the use of discontinuous elements. Interesting aspects and properties are pointed out along with proofs for the most relevant results. Numerical experiments for purely diusion problems are also presented in order to evaluate the eectiveness of the proposed scheme and to con®rm the validity of the related theoretical results.

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