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Paper detail

A weak Galerkin-mixed finite element method for the Stokes-Darcy problem

In this paper, we propose a new numerical scheme for the coupled Stokes-Darcy model with Beavers-Joseph-Saffman interface condition. We use the weak Galerkin method to discretize the Stokes equation and the mixed finite element method to the Darcy equation. A discrete inf-sup condition is proved and optimal error estimates are also derived. Numerical experiments validate the theoretical analysis.

preprint2021arXivOpen access
Hui PengQilong ZhaiRan ZhangShangyou Zhang
math.NANumerical Analysis
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Hui PengQilong ZhaiRan ZhangShangyou Zhang

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