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Alfio Quarteroni

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Related publications (251)

An active strain electromechanical model for cardiac tissue

Fabio Nobile, Alfio Quarteroni, Ricardo Esteban Ruiz Baier

We propose a finite element approximation of a system of partial differential equations describing the coupling between the propagation of electrical potential and large deformations of the cardiac tissue. The underlying mathematical model is based on the ...

Wiley2012

Model reduction techniques for fast blood flow simulation in parametrized geometries

Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni

In this paper we propose a new model reduction technique aimed at real-time blood flow simulations on a given family of geometrical shapes of arterial vessels. Our approach is based on the combination of a low-dimensional shape parametrization of the compu ...

Wiley2012

Orthotropic active strain models for the numerical simulation of cardiac biomechanics

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Simone Rossi

An active strain formulation for orthotropic constitutive laws arising in cardiac mechanics modeling is introduced and studied. The passive mechanical properties of the tissue are described by the Holzapfel-Ogden relation. In the active strain formulation, ...

Wiley2012

Electromechanical Coupling In Cardiac Dynamics: The Active Strain Approach

Fabio Nobile, Alfio Quarteroni

The coupling between cardiac mechanics and electric signaling is addressed in a nonstandard framework in which the electrical potential dictates the active strain (not stress) of the muscle. The physiological and mathematical motivations leading us to this ...

Society for Industrial and Applied Mathematics2011

Hydrodynamic stress in orbitally shaken bioreactors

Florian Maria Wurm, Lucia Baldi Unser, Alfio Quarteroni, Mohamed Farhat, Marco Discacciati, David Hacker, Stéphanie Tissot, Martino Reclari, Samuel Quinodoz, Matthieu Dreyer, Dominique Terry Monteil Jr

2011

On some numerical aspects of an active strain model in cardiac mechanics

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Simone Rossi

We are interested in the development, implementation and testing of an orthotropic model for cardiac contraction based on an active strain decomposition. Our model addresses the coupling of a transversely isotropic mechanical description at the cell level, ...

Wiley2011

Certified Reduced Basis Approximation for Parametrized Partial Differential Equations and Applications

Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni

Reduction strategies, such as model order reduction (MOR) or reduced basis (RB) methods, in scientic computing may become crucial in applications of increasing complexity. In this paper we review the reduced basis method (built upon a high-delity "truth" f ...

2011

Extended Variational Formulation for Heterogeneous Partial Differential Equations

Alfio Quarteroni

De Gruyter, De Gruyter2011

Parallel Algorithms for Fluid-Structure Interaction Problems in Haemodynamics

Alfio Quarteroni, Simone Deparis, Gilles Fourestey, Paolo Crosetto

The increasing computational load required by most applications and the limits in hardware performances affecting scientific computing contributed in the last decades to the development of parallel software and architectures. In Fluid-Structure Interaction ...

2011

Modeling dimensionally-heterogeneous problems: analysis, approximation and applications

Alfio Quarteroni, Marco Discacciati

In the present work a general theoretical framework for coupled dimensionally-heterogeneous partial differential equations is developed. This is done by recasting the variational formulation in terms of coupling interface variables. In such a general setti ...

Springer2011

Analysis of a finite volume element method for the Stokes problem

Alfio Quarteroni, Ricardo Esteban Ruiz Baier

In this paper we propose a stabilized conforming finite volume element method for the Stokes equations. On stating the convergence of the method, optimal a priori error estimates in different norms are obtained by establishing the adequate connection betwe ...

Springer2011

Multilevel Schwarz methods for elliptic partial differential equations

Alfio Quarteroni, Giovanni Migliorati

We investigate multilevel Schwarz domain decomposition preconditioners, to efficiently solve linear systems arising from numerical discretizations of elliptic partial differential equations by the finite element method. In our analysis we deal with unstruc ...

Elsevier2011

An ALE-based numerical technique for modeling sedimentary basin evolution featuring layer deformations and faults

Alfio Quarteroni, Adelmo Cristiano Innocenza Malossi, Andrea Villa

In this paper we present a numerical tool to simulate dynamics of stratified sedimentary basins, i.e. depressions on the Earth’s surface filled by sediments. The basins are usually complicated by crustal deformations and faulting of the sediments. The bala ...

Elsevier2011

A multiscale Darcy-Brinkman model for fluid flow in fractured porous media

Alfio Quarteroni, Carlo D'Angelo, Matteo Lesinigo

The aim of this work is to present a reduced mathematical model for describing fluid flow in porous media featuring open channels or fractures. The Darcy's law is assumed in the porous domain while the Stokes-Brinkman equations are considered in the fractu ...

Springer2011

Fluid Structure Interaction Simulations of Physiological Blood Flow in the Aorta

Nikolaos Stergiopoulos, Alfio Quarteroni, Simone Deparis, Philippe Reymond, Paolo Crosetto, Dimitrios Kontaxakis

The numerical tools to simulate blood flow in the cardiovascular system are constantly developing due to the great clinical interest and to scientific advances in mathematical models and computational power. The present work aims to address and validate ne ...

Elsevier2011

Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows

Alfio Quarteroni, Simone Deparis, Adelmo Cristiano Innocenza Malossi

The main goal of this work is to devise robust iterative strategies to partition the solution of the Navier-Stokes equations in a three-dimensional (3D) domain, into non overlapping 3D subdomains, which communicate through the exchange of averaged/integrat ...

Wiley2011

Active strain and activation models in cardiac electromechanics

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Simone Rossi

We present a model for mechanical activation of the cardiac tissue depending on the evolution of the transmembrane electrical potential and certain gating/ionic variables that are available in most of electrophysiological descriptions of the cardiac membra ...

2011

Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations

Alfio Quarteroni, Benjamin Stamm, Erik Burman

In this paper we present the continuous and discontinuous Galerkin methods in a unified setting for the numerical approximation of the transport dominated advection-reaction equation. Both methods are stabilized by the interior penalty method, more precise ...

2010

Numerical analysis of the Navier-Stokes/Darcy coupling

Alfio Quarteroni, Marco Discacciati

We consider a differential system based on the coupling of the Navier-Stokes and Darcy equations for modeling the interaction between surface and porous media flows. We formulate the problem as an interface equation, we analyze the associated (nonlinear) S ...

Springer2010

Computing upper and lower bounds for linear outputs of elasticity by the smoothed finite element method

Alfio Quarteroni, Gianluigi Rozza, Toni Mikael Lassila

Verification of the computation of local quantities of interest, e.g. the displacements at a point, the stresses in a local area and the stress intensity factors at crack tips, plays an important role in improving the structural design for safety. In this ...

Wiley2010

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