Optimal error estimates of a decoupled scheme based on two-grid finite element for mixed Navier-Stokes/Darcy Model |
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Authors: | Yi QIN Yanren HOU |
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Affiliation: | School of Mathematics and Statistics, Xi''an Jiaotong University, Xi''an 710049, China |
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Abstract: | Although the two-grid finite element decoupled scheme for mixed Navier-Stokes/Darcy model in literatures has given the numerical results of optimal convergence order, the theoretical analysis only obtain the optimal error order for the porous media flow and a non-optimal error order for the fluid flow. In this article, we give a more rigorous of the error analysis for the fluid flow and obtain the optimal error estimates of the velocity and the pressure. |
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Keywords: | Navier-Stokes equation Darcy's law two-grid method optimal error estimate 65N15 65N30 76D07 76S05 |
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