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A second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model

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Abstract

In this paper, we propose and analyze a second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model. It is based on the second-order spectral deferred correction method in time and the finite element method in space. We provide the stability and convergence results of our decoupled scheme. Last, some numerical experiments are given to illustrate the accuracy and effectiveness of our decoupled scheme.

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Funding

This work is supported by the National Natural Science Foundation of China (Grant No. 11971378 & 11571274).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi, 710049, China

    Dandan Xue & Yanren Hou

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  1. Dandan Xue
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  2. Yanren Hou
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Correspondence to Dandan Xue.

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Xue, D., Hou, Y. A second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model. Numer Algor 88, 1137–1182 (2021). https://doi.org/10.1007/s11075-021-01070-4

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  • DOI: https://doi.org/10.1007/s11075-021-01070-4

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