We construct mesh-independent and parameter-robust monolithic solvers for the coupled
primal Stokes--Darcy problem. Three different formulations and their discretizations in terms …

We consider the problem of iteratively solving large and sparse double saddle-point systems
arising from the stationary Stokes–Darcy equations in two dimensions, discretized by the …

In this paper, a marker and cell (MAC) scheme is constructed for the free flow-porous media
system with heat transport on non-uniform grids, where the Stokes-Darcy equation is …

In this paper we construct a MAC methods for coupled Stokes–Darcy problems on non-
uniform staggered grids using the covolume integration on the interface. The inf–sup …

In this paper, a semi-decoupled marker and cell (MAC) scheme is proposed for the Stokes-
Biot system, in which the displacement of structure is split from the whole system using the …

The finite difference method on staggered grids is developed to solve the coupled Stokes–
Biot problem using the covolume integration on the interface. We construct the finite …

A discretization method with non-matching grids is proposed for the coupled Stokes-Darcy
problem that uses a mortar variable at the interface to couple the marker and cell (MAC) …

A framework is developed for a robust and highly accurate numerical solution of the coupled
Stokes-Darcy system in three dimensions. The domain decomposition method is based on a …

The flow through both an incompressible fluid region and a porous medium occurs in a wide
range of applications encompassing industrial processes and geological phenomena …

In this paper, we construct and analyze new first-and second-order implicit-explicit (IMEX)
schemes for the unsteady Navier-Stokes-Darcy model to describe the coupled free flow …