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A decoupling two-grid algorithm for the mixed Stokes-Darcy model with the Beavers-Joseph interface condition

Authors

  • Liyun Zuo,

    1. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, China
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  • Yanren Hou

    Corresponding author
    1. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, China
    2. Center for Computational Geosciences, Xi'an Jiaotong University, Xi'an, Shaanxi, China
    • Correspondence to: Yanren Hou, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China, (e-mail: yrhou@mail.xjtu.edu.cn)

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Abstract

In this article, a decoupling scheme based on two-grid finite element for the mixed Stokes-Darcy problem with the Beavers-Joseph interface condition is proposed and investigated. With a restriction of a physical parameter α, we derive the numerical stability and error estimates for the scheme. Numerical experiments indicate that such two-grid based decoupling finite element schemes are feasible and efficient. © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 1066–1082, 2014

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