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A weak Galerkin-mixed finite element method for the Stokes-Darcy problem (2103.00411v1)
Published 28 Feb 2021 in math.NA and cs.NA
Abstract: 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.