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 propose a new formulation along with a family of finite element schemes for the
approximation of the interaction between fluid motion and linear mechanical response of a …

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 …

This paper is concerned with boundary integral equation methods for solving the two-
dimensional fluid-solid interaction problem. We reduce the problem to three different …

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 …

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 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 …

We introduce and analyze a new finite element method for a three-dimensional fluid-solid
interaction problem. The media are governed by the acoustic and elastodynamic equations …

The paper presents a frequency-domain hp-adaptive finite element (FE) method for a class
of coupled (visco-) acoustics/anelasticity problems with application to modeling of sonic …

We introduce a new finite element method for the approximation of the three-dimensional
Brinkman problem formulated in terms of the velocity, vorticity and pressure fields. The …