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A parallel two-grid linearized method for the coupled Navier-Stokes-Darcy problem

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Abstract

In this paper, based on a two-grid method and a recent local and parallel finite element method, a parallel two-grid linearized method for the coupled Navier-Stokes-Darcy problem is proposed and analyzed. This method ensures that all the local subproblems on the fine grid can be solved in parallel. Optimal error bounds of the approximate solution are obtained. Finally, numerical experiments are presented to demonstrate the accuracy and effectiveness of the proposed method.

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Acknowledgment

Subsidized by NSFC (Grant Nos. 11571274 and 11401466)

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Jinan, Jinan, 250022, China

    Liyun Zuo

  2. School of Mathematical Sciences and Statistics, Shandong Normal University, Jinan, 250014, China

    Guangzhi Du

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  1. Liyun Zuo
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  2. Guangzhi Du
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Correspondence to Liyun Zuo.

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Zuo, L., Du, G. A parallel two-grid linearized method for the coupled Navier-Stokes-Darcy problem. Numer Algor 77, 151–165 (2018). https://doi.org/10.1007/s11075-017-0308-y

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  • DOI: https://doi.org/10.1007/s11075-017-0308-y

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