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

Mei-Qun Jiang & Pei-Liang Dai

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 $\boldsymbol{R}^N$(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.  

  • Keywords

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

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COPYRIGHT: © Global Science Press

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@Article{JCM-24-209, author = {Mei-Qun Jiang and Pei-Liang Dai}, 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 $\boldsymbol{R}^N$(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.  

}, 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 AU - Mei-Qun Jiang & Pei-Liang Dai 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, Nonoverlapping, Domain decomposition, Mixed finite element, 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 $\boldsymbol{R}^N$(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.  

Mei-Qun Jiang and Pei-Liang Dai. (2006). A Parallel Nonoverlapping Domain Decomposition Method for Stokes Problems. Journal of Computational Mathematics. 24 (2). 209-224. doi:
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