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 …

This book is designed to be used by mathematicians, engineers, and computer scientists as
a graduate-level introduction to numerical analysis and its methods. Readers are expected …

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 …

In this article we consider the numerical modeling and simulation via the phase field
approach for coupled two-phase free flow and two-phase porous media flow of different …

In this paper, we propose and numerically solve a new model considering confined flow in
dual-porosity media coupled with free flow in embedded macrofractures and conduits. Such …