Local and parallel finite element algorithm for stationary incompressible magnetohydrodynamics |
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| Authors: | Yuhong Zhang Yanren Hou Li Shan Xiaojing Dong |
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| Institution: | 1. Department of Computing Sciences, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China;2. Center for Computational Geosciences, Xi'an Jiaotong University, Xi'an, Shaanxi, China;3. Department of Computing Sciences, College of Science, Liaoning Technical University, Fuxin, China |
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| Abstract: | This article presents a local and parallel finite element method for the stationary incompressible magnetohydrodynamics problem. The key idea of this algorithm comes from the two‐grid discretization technique. Specifically, we solve the nonlinear system on a global coarse mesh, and then solve a series of linear problems on several subdomains in parallel. Furthermore, local a priori estimates are obtained on a general shape regular grid. The efficiency of the algorithm is also illustrated by some numerical experiments.© 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1513–1539, 2017 |
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| Keywords: | local a priori estimates local and parallel algorithm stationary incompressible magnetohydrodynamics two‐grid discretization |
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