Solving steady incompressible Navier-Stokes equations by the Arrow-Hurwicz method

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• 作者：Puyin Chen ^{15800416867@163.com" class="auth_mail" title="E-mail the corresponding author} ; Jianguo Huang ; ^{jghuang@sjtu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Huashan Sheng ^{shs3701001@sjtu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Navier&ndash ; Stokes equations ; Mixed element method ; The Arrow&ndash ; Hurwicz method ; Convergence rate analysis
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：311
• 期：Complete
• 页码：100-114
• 全文大小：4952 K

文摘

This article is devoted to analyzing an Arrow–Hurwicz type method for solving incompressible Navier–Stokes equations discretized by mixed element methods. Under several reasonable conditions, it is proved by a subtle argument that the method converges geometrically with a contraction number independent of the finite element mesh size h$h$, even for regular triangulations. A series of numerical examples are provided to illustrate the computational performance of the method.