A decoupling two‐grid algorithm for the mixed Stokes‐Darcy model with the Beavers‐Joseph interface condition |
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| Authors: | Liyun Zuo Yanren Hou |
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| Affiliation: | 1. School of Mathematics and Statistics, Xi'an Jiaotong University, , Xi'an, Shaanxi, 710049 China;2. Center for Computational Geosciences, Xi'an Jiaotong University, , Xi'an, Shaanxi, 710049 China |
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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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| Keywords: | Stokes‐Darcy problem Beavers‐Joseph interface condition decoupling two‐grid method |
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