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 - <p style="text-align: justify;">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. &nbsp;</p>