The main purpose of this monograph is to provide a simple and accessible introduction to
the mixed finite element method as a fundamental tool to numerically solve a wide class of …

We consider a model of coupled free and porous media flow governed by Stokes and Darcy
equations with the Beavers–Joseph–Saffman interface condition. This model is discretized …

Two parallel, non-iterative, multi-physics, domain decomposition methods are proposed to
solve a coupled time-dependent Stokes-Darcy system with the Beavers-Joseph-Saffman …

In this paper, we consider the numerical approximation for a phase field model of the
coupled two-phase free flow and two-phase porous media flow. This model consists of Cahn …

We propose a new parallel Robin–Robin domain decomposition method for the coupled
Stokes–Darcy system with Beavers–Joseph–Saffman–Jones interface boundary condition …

In this article a domain decomposition method is proposed to solve a time-dependent Navier-
Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary …

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 …

A family of weak Galerkin finite element discretizations is developed for solving the coupled
Darcy–Stokes equation. The equation in consideration admits the Beaver–Joseph–Saffman …

In this paper we analyze fully-mixed finite element methods for the coupling of fluid flow with
porous media flow in 2D. Flows are governed by the Stokes and Darcy equations …