The transport of substances back and forth between surface water and groundwater is a very
serious problem. We study herein the mathematical model of this setting consisting of the …

We develop and analyze a mixed finite element method for the solution of an elliptic system
modeling a porous medium with large cavities, called vugs. It consists of a second-order …

We derive a macroscopic model for single-phase, incompressible, viscous fluid flow in a
porous medium with small cavities called vugs. We model the vuggy medium on the …

The interaction between a fluid and a poroelastic structure is a complex problem that
couples the Navier–Stokes equations with the Biot system. The finite element approximation …

The whole flow over a solid body covered by a porous layer is presented. The three main
models used in the literature to compute efficiently the fluid flow are given: the reduction of …

Abstract Domain decomposition methods for solving the coupled Stokes–Darcy system with
the Beavers–Joseph interface condition are proposed and analyzed. Robin boundary …

This paper proposes and analyzes a Robin-type multiphysics domain decomposition
method (DDM) for the steady-state Navier--Stokes--Darcy model with three interface …

Theoretical and numerical formulations are presented for the conjugate problem involving
incompressible flow and flow in a saturated porous medium. The major focus of the work is …

In this article, we discuss some new finite element methods for flows which are governed by
the linear stationary Stokes system on one part of the domain and by a second order elliptic …

Distributed hydrologic models capable of simulating fully‐coupled surface water and
groundwater flow are increasingly used to examine problems in the hydrologic sciences …