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 …

In this paper we introduce and analyze two new fully-mixed variational formulations for the
coupling of fluid flow with porous media flow. Flows are governed by the Stokes and Darcy …

In this paper we develop the a priori analysis of a mixed finite element method for the
coupling of fluid flow with porous media flow. Flows are governed by the Navier–Stokes and …

Este libro aborda los resultados clave del Análisis Funcional y sus aplicaciones en
Matemática, Física e Ingeniería. Está diseñado como texto y obra de consulta, dirigido a …

We propose and analyze an augmented mixed finite element method for the coupling of fluid
flow with porous media flow. The flows are governed by a class of nonlinear Navier–Stokes …

We propose and analyze a fully-mixed finite element method to numerically approximate the
flow patterns of a viscous fluid within a highly permeable medium (an array of low …

In this paper we introduce and analyze an augmented mixed finite element method for the
coupling of quasi-Newtonian fluids and porous media. The flows are governed by a class of …

In this paper we consider an augmented fully-mixed variational formulation that has been
recently proposed for the coupling of the Navier–Stokes equations (with nonlinear viscosity) …

In this paper we develop the a priori and a posteriori error analyses of a mixed finite element
method for the coupling of fluid flow with nonlinear porous media flow. Flows are governed …

In this work we present and analyze a fully‐mixed formulation for the nonlinear model given
by the coupling of the Navier–Stokes and Darcy–Forchheimer equations with the Beavers …