Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations

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• 作者：Tielei Zhu ^{zhutielei@126.com} ; Haiyan Su ^{shymath@163.com} ; Xinlong Feng ; ^{fxlmath@xju.edu.cn} ; ^{fxlmath@gmail.com}
• 关键词：Magnetohydrodynamic equations ; Uzawa algorithms ; Mixed finite element method ; Geometric convergence
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：1 June 2017
• 年：2017
• 卷：302
• 期：Complete
• 页码：34-47
• 全文大小：910 K
• 卷排序：302

文摘

In this paper, we apply some Uzawa-type iterative algorithms to the steady magnetohydrodynamic (MHD) equations discretized by mixed finite element method (FEM). Different from other iterative methods, they correct pressure at each iteration and converge geometrically with a contract number which is independent of mesh size h and iterative step n. Finally, the computational performance of our proposed methods are investigated by a numerical experiment.