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A New Local and Parallel Finite Element Method for the Coupled Stokes–Darcy Model

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Abstract

In this paper, based on two-grid discretizations and superposition principle, a new local and parallel finite element method is presented and studied for the coupled Stokes–Darcy model. Superposition principle is used to generate a series of local and independent subproblems to obtain a global continuous approximation. Optimal error estimates are derived. Numerical results are reported to support the theoretical findings.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Shandong Normal University, Jinan, 250014, China

    Guangzhi Du

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

    Liyun Zuo

  3. School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, Hunan, China

    Yuhong Zhang

Authors
  1. Guangzhi Du
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  2. Liyun Zuo
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  3. Yuhong Zhang
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Correspondence to Yuhong Zhang.

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This work is subsidized by NSFC(Grant Nos. 12001234, 11801170, 12172202, 11701343) and Natural Science Foundation of Hunan Province, China (No. 2019JJ50365)

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Du, G., Zuo, L. & Zhang, Y. A New Local and Parallel Finite Element Method for the Coupled Stokes–Darcy Model. J Sci Comput 90, 43 (2022). https://doi.org/10.1007/s10915-021-01723-5

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