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A PARALLEL NONOVERLAPPING DOMAIN DECOMPOSITION METHOD FOR STOKES PROBLEMS

A PARALLEL NONOVERLAPPING DOMAIN DECOMPOSITION METHOD FOR STOKES PROBLEMS
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摘要 A nonoverlapping domain decomposition iterative procedure is developed and analyzed for generalized Stokes problems and their finite element approximate problems in R^N(N=2,3). The method is based on a mixed-type consistency condition with two parameters as a transmission condition together with a derivative-free transmission data updating technique on the artificial interfaces. The method can be applied to a general multi-subdomain decomposition and implemented on parallel machines with local simple communications naturally. A nonoverlapping domain decomposition iterative procedure is developed and analyzed for generalized Stokes problems and their finite element approximate problems in R^N(N=2,3). The method is based on a mixed-type consistency condition with two parameters as a transmission condition together with a derivative-free transmission data updating technique on the artificial interfaces. The method can be applied to a general multi-subdomain decomposition and implemented on parallel machines with local simple communications naturally.
出处 《Journal of Computational Mathematics》 SCIE EI CSCD 2006年第2期209-224,共16页 计算数学(英文)
关键词 Generalized Stokes problem Nonoverlapping Domain decomposition Mixedfinite element Crouzeix-Raviart element. Generalized Stokes problem, Nonoverlapping, Domain decomposition, Mixedfinite element, Crouzeix-Raviart element.
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  • 1D. N. Arnold,F. Brezzi,M. Fortin.A stable finite element for the stokes equations[J].Calcolo.1984(4)

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