A Parallel Nonoverlapping Domain Decomposition Method for Stokes Problems

A Parallel Nonoverlapping Domain Decomposition Method for Stokes Problems

Year:    2006

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 2 : pp. 209–224

Abstract

A nonoverlapping domain decomposition iterative procedure is developed and analyzed for generalized Stokes problems and their finite element approximate problems in $\boldsymbol{R}^N$(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.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-JCM-8746

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 2 : pp. 209–224

Published online:    2006-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Generalized Stokes problem Nonoverlapping Domain decomposition Mixed finite element Crouzeix-Raviart element.