Volume 24, Issue 2
A Parallel Nonoverlapping Domain Decomposition Method for Stokes Problems

J. Comp. Math., 24 (2006), pp. 209-224.

Published online: 2006-04

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• Abstract

A nonoverlapping domain decomposition iterative procedure is developed and analyzed for generalized Stokes problems and their finite element approximate problems in \textbf{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.

• Keywords

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

• AMS Subject Headings

@Article{JCM-24-209, author = {}, title = {A Parallel Nonoverlapping Domain Decomposition Method for Stokes Problems}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {2}, pages = {209--224}, abstract = { A nonoverlapping domain decomposition iterative procedure is developed and analyzed for generalized Stokes problems and their finite element approximate problems in \textbf{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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8746.html} }
TY - JOUR T1 - A Parallel Nonoverlapping Domain Decomposition Method for Stokes Problems JO - Journal of Computational Mathematics VL - 2 SP - 209 EP - 224 PY - 2006 DA - 2006/04 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8746.html KW - Generalized Stokes problem KW - Nonoverlapping KW - Domain decomposition KW - Mixed finite element KW - Crouzeix-Raviart element AB - A nonoverlapping domain decomposition iterative procedure is developed and analyzed for generalized Stokes problems and their finite element approximate problems in \textbf{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.