NON-MATCHING MORTAR DISCRETIZATION ANALYSIS FOR THE COUPLING STOKES-DARCY EQUATIONS

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Weak Galerkin method for the coupled Darcy-Stokes flow (2014, methodology): “the interface condition in the variational formulation is to use the idea of mortar elements, which gives a “strong” but not pointwise coupling [3, 15, 29].”
Convergence of a family of Galerkin discretizations for the Stokes–Darcy coupled problem (2011, methodology): “2 in [5] for details) follow basically the same techniques applied in [6, 8], thus confirming that no additional difficulties arise.”
Navier-Stokes/Darcy Coupling: Modeling, Analysis, and Numerical Approximation (2009, methodology): “The case of non-matching grids across the interface Γ for the StokesDarcy coupling has been studied in [23, 49, 68, 69, 71, 112, 113].”
Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium (2016, background): “vanishes on ∂ , following the work of Galvis and Sarkis in [14], we can prove first that the jump [q] · n+ belongs to H− (1)2 ( ), and since it vanishes on \ C then it is welldefined in H− (1)2 (C) with continuous dependence on ‖q‖Z .”