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Alfio Quarteroni

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Publications associées (251)

FaCSI: A block parallel preconditioner for fluid-structure interaction in hemodynamics

Alfio Quarteroni, Simone Deparis, Gwenol Grandperrin, Davide Forti

Modeling Fluid-Structure Interaction (FSI) in the vascular system is mandatory to reliably compute mechanical indicators in vessels undergoing large deformations. In order to cope with the computational complexity of the coupled 3D FSI problem after discre ...

Academic Press Inc Elsevier Science2016

An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

Alfio Quarteroni, Yvon Maday, Andrea Manzoni

We propose a new, black-box online stabilization strategy for reduced basis (RB) approximations of parameter-dependent advection-diffusion problems in the advection-dominated case. Our goal is to stabilize the RB problem irrespectively of the stabilization ...

Elsevier France-Editions Scientifiques Medicales Elsevier2016

Geometric multiscale modeling of the cardiovascular system, between theory and practice

Alfio Quarteroni, Christian Vergara

This review paper addresses the so called geometric multiscale approach for the numerical simulation of blood flow problems, from its origin (that we can collocate in the second half of '90s) to our days. By this approach the blood fluid-dynamics in the wh ...

Elsevier2016

Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries

Alfio Quarteroni, Gianluigi Rozza, Laura Iapichino

The aim of this work is to solve parametrized partial differential equations in computational domains represented by networks of repetitive geometries by combining reduced basis and domain decomposition techniques. The main idea behind this approach is to ...

Elsevier2016

A numerical study of isotropic and anisotropic constitutive models with relevance to healthy and unhealthy cerebral arterial tissues

Alfio Quarteroni, Luca Dede', Paolo Tricerri, Adélia Sequeira

This paper presents an analysis of hyperelastic constitutive models for continuous bodies both from a modeling and numerical point of view. Contributions are made within the context of finite element numerical simulations. Numerical results with relevance ...

Elsevier2016

Nitsche's method for parabolic Partial Differential Equations with mixed time varying boundary conditions

Alfio Quarteroni, Luca Dede', Anna Tagliabue

We investigate a finite element approximation of an initial boundary value problem associated with parabolic Partial Differential Equations endowed with mixed time varying boundary conditions, switching from essential to natural and vice versa. The switchi ...

EDP Sciences2016

Isogeometric Analysis of geometric partial differential equations

Alfio Quarteroni, Luca Dede', Andrea Bartezzaghi

We consider the numerical approximation of geometric Partial Differential Equations (PDEs) defined on surfaces in the 3D space. In particular, we focus on the geometric PDEs deriving from the minimization of an energy functional by L2L2-gradient flow. We a ...

Elsevier2016

Isogeometric numerical dispersion analysis for two-dimensional elastic wave propagation

Alfio Quarteroni, Luca Dede', Christoph Jäggli

In this paper, we carry out a numerical dispersion analysis for the linear two-dimensional elastodynamics equations approximated by means of NURBS-based Isogeometric Analysis in the framework of the Galerkin method; specifically, we consider the analysis o ...

Elsevier2015

Modelling blood flows in the heart: extended Nitsche's method for the treatment of the valves as generalized boundary conditions

Alfio Quarteroni, Luca Dede', Anna Tagliabue

We investigate the blood flow inside idealized left ventricles with prescribed wall movement by defining a formulation of boundary conditions for the Navier-Stokes equations accounting for the valves. Specifically, we consider an extended Nitsche’s method ...

CMBE, Zeta Computational Resources Ltd.2015

Solvability analysis and numerical approximation of linearized cardiac electromechanics

Alfio Quarteroni, Ricardo Esteban Ruiz Baier

This paper is concerned with the mathematical analysis of a coupled elliptic–parabolic system modeling the interaction between the propagation of electric potential and subsequent deformation of the cardiac tissue. The problem consists in a reaction–diffus ...

World Scientific Publ Co Pte Ltd2015

Multiscale homogenization for fluid and drug transport in vascularized malignant tissues

Alfio Quarteroni

A system of differential equations for coupled fluid and drug transport in vascularized (malignant) tissues is derived by a multiscale expansion. We start from mass and momentum balance equations, stated in the physical domain, geometrically characterized ...

World Scientific Publishing2015

Efficient Numerical Schemes for Computing Cardiac Electrical Activation over Realistic Purkinje Networks: Method and Verification

Alfio Quarteroni, Christian Vergara, Toni Mikael Lassila

We present a numerical solver for the fast conduction system in the heart using both a CPU and a hybrid CPU/GPU implementation. To verify both implementations, we construct analytical solutions and show that the L-2-error is similar in both implementations ...

Springer-Verlag2015

Finite element and finite volume-element simulation of pseudo-ECGs and cardiac alternans

Alfio Quarteroni, Ricardo Esteban Ruiz Baier

In this paper, we are interested in the spatio-temporal dynamics of the transmembrane potential in paced isotropic and anisotropic cardiac tissues. In particular, we observe a specific precursor of cardiac arrhythmias that is the presence of alternans in t ...

Wiley-Blackwell2015

A new algorithm for high-dimensional uncertainty quantification based on dimension-adaptive sparse grid approximation and reduced basis methods

Alfio Quarteroni, Peng Chen

In this work we develop an adaptive and reduced computational algorithm based on dimension-adaptive sparse grid approximation and reduced basis methods for solving highdimensional uncertainty quantification (UQ) problems. In order to tackle the computation ...

Elsevier2015

Isogeometric Analysis for second order Partial Differential Equations on surfaces

Alfio Quarteroni, Luca Dede'

We consider the numerical solution of second order Partial Differential Equations (PDEs) on lower dimensional manifolds, specifically on surfaces in three dimensional spaces. For the spatial approximation, we consider Isogeometric Analysis which facilitate ...

Elsevier2015

Coupled models for integrated heart simulations: a numerical study of the fluid dynamics in the left ventricle

Alfio Quarteroni, Simone Deparis, Luca Dede', Davide Forti, Antonello Gerbi

We consider the numerical simulation of integrated heart models for the study of the cardiac functioning with particular emphasis on the coupling of the muscle contraction, the fluid dynamics of the left ventricle, and the interaction with the valves. We a ...

CMBE, Zeta Computational Resources Ltd.2015

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem

Alfio Quarteroni, Luca Dede', Claudia Maria Colciago

In this paper, we propose the mathematical and finite element analysis of a second-order partial differential equation endowed with a generalized Robin boundary condition which involves the Laplace--Beltrami operator by introducing a function space $H^1(\O ...

Society for Industrial and Applied Mathematics2015

Fluid-structure interaction simulations of cerebral arteries modeled by isotropic and anisotropic constitutive laws

Alfio Quarteroni, Simone Deparis, Luca Dede', Paolo Tricerri, Adélia Sequeira

This paper considers numerical simulations of fluid-structure interaction (FSI) problems in hemodynamics for idealized geometries of healthy cerebral arteries modeled by both nonlinear isotropic and anisotropic material constitutive laws. In particular, it ...

Springer Verlag2015

Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations

Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni

In this work we present a stable proper orthogonal decomposition (POD)-Galerkin approximation for parametrized steady incompressible Navier-Stokes equations with low Reynolds number. Supremizers solutions are added to the reduced velocity space in order to ...

Wiley-Blackwell2015

Reduced Basis Techniques For Nonlinear Conservation Laws

Alfio Quarteroni

In this paper we present a new reduced basis technique for parametrized nonlinear scalar conservation laws in presence of shocks. The essential ingredients are an efficient algorithm to approximate the shock curve, a procedure to detect the smooth componen ...

EDP Sciences2015

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