A PARALLEL NONOVERLAPPING DOMAIN DECOMPOSITION METHOD FOR STOKES PROBLEMS

• 来源期刊: 计算数学（英文版）
• 关键词: Generalized Stokes problem Nonoverlapping Domain decomposition Mixed finite element Crouzeix-Raviart element.
• 年，卷（期）: 2006,（2）
• 页码范围: 209-224
• 页数: 16页
• 语种: 英文

摘要

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