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Local and Parallel Finite Element Algorithm Based on Oseen-Type Iteration for the Stationary Incompressible MHD Flow

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Abstract

In this work, we are concerned with the local and parallel finite element algorithm based on the Oseen-type iteration for solving the stationary incompressible magnetohydrodynamics. Under the uniqueness condition, the error estimates with respect to iterative step m and small mesh sizes H and \(h\ll H\) of the proposed method are derived. Finally, some numerical experiments are provided to show the high efficiency of our algorithm.

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Acknowledgments

The authors sincerely thank the reviewers and editor for their helpful suggestions. The first author is supported by NSFC (No. 11401174). The second author is supported by the Major Research Plan of NSFC (No. 91430213).

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Authors and Affiliations

  1. Hunan Key Laboratory for Computation and Simulation in Science and Engineering, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, China

    Qili Tang & Yunqing Huang

  2. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, Henan, China

    Qili Tang

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  1. Qili Tang
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  2. Yunqing Huang
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Correspondence to Yunqing Huang.

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Tang, Q., Huang, Y. Local and Parallel Finite Element Algorithm Based on Oseen-Type Iteration for the Stationary Incompressible MHD Flow. J Sci Comput 70, 149–174 (2017). https://doi.org/10.1007/s10915-016-0246-1

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  • DOI: https://doi.org/10.1007/s10915-016-0246-1

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