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List of works by Alfio Quarteroni

2d and 3D elastic wave propagation by a pseudo-spectral domain decomposition method

scholarly article

A 3D finite element model for free-surface flows

A 3D/1D geometrical multiscale model of cerebral vasculature

article

A Domain Decomposition Framework for Fluid-Structure Interaction Problems

A Domain Decomposition Method for Advection-Diffusion Processes with Application to Blood Solutes

A Fluid–Structure Interaction Algorithm Using Radial Basis Function Interpolation Between Non-Conforming Interfaces

A Mathematical Approach in the Design of Arterial Bypass Using Unsteady Stokes Equations

article by Valery Agoshkov et al published 13 March 2006 in Journal of Scientific Computing

A Parallel Algorithm for the Solution of Large-Scale Nonconforming Fluid-Structure Interaction Problems in Hemodynamics

A Patient-Specific Computational Fluid Dynamics Model of the Left Atrium in Atrial Fibrillation: Development and Initial Evaluation

article

A Reduced Basis Model with Parametric Coupling for Fluid-Structure Interaction Problems

article

A Rescaled Localized Radial Basis Function Interpolation on Non-Cartesian and Nonconforming Grids

A Spectral Multidomain Method for the Numerical Simulation of Turbulent Flows

A Time-Parallel Framework for Coupling Finite Element and Lattice Boltzmann Methods

A Weighted Reduced Basis Method for Elliptic Partial Differential Equations with Random Input Data

article published in 2013

A comprehensive stroke risk assessment by combining atrial computational fluid dynamics simulations and functional patient data

A coupled 3D–1D numerical monodomain solver for cardiac electrical activation in the myocardium with detailed Purkinje network ⬇️

A discontinuous Galerkin reduced basis element method for elliptic problems

A distributed model of traffic flows on extended regions

A mathematical model that integrates cardiac electrophysiology, mechanics, and fluid dynamics: Application to the human left heart

scientific article published on 20 January 2023

A mortar spectral/finite element method for complex 2D and 3D elastodynamic problems

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

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

article published in 2015

A numerical investigation of Schwarz domain decomposition techniques for elliptic problems on unstructured grids

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

A patient-specific aortic valve model based on moving resistive immersed implicit surfaces

scientific article published on 07 June 2017

A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks

A reduced computational and geometrical framework for inverse problems in hemodynamics

scientific article published on 25 June 2013

A relaxation procedure for domain decomposition methods using finite elements

article

A vision and strategy for the virtual physiological human in 2010 and beyond.

scientific article

A vision and strategy for the virtual physiological human: 2012 update.

scientific article published on April 2013

A weighted empirical interpolation method:a prioriconvergence analysis and applications

Accurate and efficient evaluation of failure probability for partial different equations with random input data

Active contraction of cardiac cells: a reduced model for sarcomere dynamics with cooperative interactions

scientific article published on 12 July 2018

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

scholarly article by Cristiano Malossi et al published 25 July 2011 in International Journal for Numerical Methods in Biomedical Engineering

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

An Interface-Strip Domain Decomposition Preconditioner

An Iterative Procedure with Interface Relaxation for Domain Decomposition Methods

article published in 1988

An Offline-Online Riemann Solver for One-Dimensional Systems of Conservation Laws

An active strain electromechanical model for cardiac tissue

scientific article published in January 2012

An algebraic least squares reduced basis method for the solution of nonaffinely parametrized Stokes equations

scholarly article by N. Dal Santo et al published February 2019 in Computer Methods in Applied Mechanics and Engineering

An implicit/explicit spectral method for Burgers' equation

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

article

An orthotropic active–strain model for the myocardium mechanics and its numerical approximation

article

Analysis of Chebyshev Collocation Methods for Parabolic Equations

Analysis of a Geometrical Multiscale Blood Flow Model Based on the Coupling of ODEs and Hyperbolic PDEs

article

Analysis of a Geometrical Multiscale Model Based on the Coupling of ODE and PDE for Blood Flow Simulations

article

Analysis of a finite volume element method for the Stokes problem

Analysis of lumped parameter models for blood flow simulations and their relation with 1D models

article

Analysis of the INTERNODES method for non-conforming discretizations of elliptic equations

Analysis of the Yosida method for the incompressible Navier–Stokes equations

article

Analysis of the combined finite element and Fourier interpolation

Application of the Rosenbrock methods to the solution of unsteady 3D incompressible Navier-Stokes equations

Approximation Results for Orthogonal Polynomials in Sobolev Spaces

scholarly article by Claudio Canuto & Alfio Quarteroni published January 1982 in Mathematics of Computation

Approximation of Symmetry Breaking Bifurcations for the Rayleigh Convection Problem

Artificial intelligence techniques may innovate patient selection for thoracic endovascular aortic repair

scientific article published on 3 November 2022

Assisted Fontan procedure: animal and in vitro models and computational fluid dynamics study

scientific article published in February 2010

Asymptotic-numerical derivation of the Robin type coupling conditions for the macroscopic pressure at a reservoir–capillaries interface

Biophysically detailed mathematical models of multiscale cardiac active mechanics

scientific article published on 07 October 2020

Blending Fourier and Chebyshev interpolation

Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty

article by Toni Lassila et al published 17 June 2013 in ESAIM: Mathematical Modelling and Numerical Analysis

Certified reduced basis approximation for parametrized partial differential equations and applications

article

Combined finite element and spectral approximation of the Navier-Stokes equations

Comparison Between Reduced Basis and Stochastic Collocation Methods for Elliptic Problems

Comparisons between reduced order models and full 3D models for fluid–structure interaction problems in haemodynamics

scholarly article by C.M. Colciago et al published August 2014 in Journal of Computational and Applied Mathematics

Computational Reduction for Parametrized PDEs: Strategies and Applications

Computational comparison of aortic root stresses in presence of stentless and stented aortic valve bio-prostheses

scientific article published on 26 July 2016

Computational electrophysiology of the coronary sinus branches based on electro-anatomical mapping for the prediction of the latest activated region

scientific article published on 21 June 2022

Computational fluid dynamics at CRS4, Italy

article

Computational fluid dynamics of blood flow in an idealized left human heart

scientific article published on 09 December 2019

Computational generation of the Purkinje network driven by clinical measurements: the case of pathological propagations

scientific article published on 22 October 2014

Computational haemodynamics for pulmonary valve replacement by means of a reduced fluid‐structure interaction model

scientific article published on 22 July 2024

Computational study of the risk of restenosis in coronary bypasses

scientific article published on 19 August 2016

Computational vascular fluid dynamics: problems, models and methods

article

Connecting Ventricular Assist Devices to the Aorta: A Numerical Model

article

Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations

article

Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity

article

Coupling Biot and Navier–Stokes equations for modelling fluid–poroelastic media interaction

Coupling between lumped and distributed models for blood flow problems

article

Coupling of free surface and groundwater flows

Coupling of two-dimensional hyperbolic and elliptic equations

article published in 1990

Coupling of viscous and inviscid Stokes equations via a domain decomposition method for finite elements

article

Current-Voltage Characteristics Simulation of Semiconductor Devices Using Domain Decomposition

Domain Decomposition Methods for Systems of Conservation Laws: Spectral Collocation Approximations

Domain decomposition preconditioners for the spectral collocation method

article published in 1988

Domain decomposition techniques using spectral methods

Editorial

Editorial: Special Issues on Biomedical and Bioengineering Computing

Effective spectral approximations of convection—diffusion equations

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

Efficient Solution of Fluid-Structure Interaction Problems in Computational Hemodynamics

Efficient oxygen transfer by surface aeration in shaken cylindrical containers for mammalian cell cultivation at volumetric scales up to 1000L

Electromechanical Coupling in Cardiac Dynamics: The Active Strain Approach

article

Error Estimates for Spectral and Pseudospectral Approximations of Hyperbolic Equations

article

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

Factorization methods for the numerical approximation of Navier–Stokes equations

Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD–Galerkin method and a vascular shape parametrization

Finite Element Preconditioning for Legendre Spectral Collocation Approximations to Elliptic Equations and Systems

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

Finite element approximation of Quasi-3D shallow water equations

article by Edie Miglio et al published May 1999 in Computer Methods in Applied Mechanics and Engineering

Finite-Element Preconditioning of G-NI Spectral Methods

Fluid dynamics of an idealized left ventricle: the extended Nitsche's method for the treatment of heart valves as mixed time varying boundary conditions

article

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

Fluid–structure algorithms based on Steklov–Poincaré operators

scholarly article by Simone Deparis et al published August 2006 in Computer Methods in Applied Mechanics and Engineering

Fluid–structure interaction simulation of aortic blood flow

Fourier Spectral Methods for Pseudoparabolic Equations

Fully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cells

article

Generalized Galerkin approximations of elastic waves with absorbing boundary conditions

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

article

Helical flows and asymmetry of blood jet in dilated ascending aorta with normally functioning bicuspid valve

scientific article published on 5 October 2012

Heterogeneous Mathematical Models in Fluid Dynamics and Associated Solution Algorithms

article

Heterogeneous coupling by virtual control methods

article

High Order Space-Time Discretization for Elastic Wave Propagation Problems

scholarly article

High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation

High order methods for the approximation of the incompressible Navier–Stokes equations in a moving domain

Hybrid finite element methods for the von Karman equations

INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces

article

Implicit Coupling of One-Dimensional and Three-Dimensional Blood Flow Models with Compliant Vessels

Improved hybrid/GPU algorithm for solving cardiac electrophysiology problems on Purkinje networks ⬇️

scientific article published on 23 September 2016

Integrated Heart—Coupling multiscale and multiphysics models for the simulation of the cardiac function ⬇️

article

Interface control domain decomposition methods for heterogeneous problems

Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations

Isogeometric Analysis and error estimates for high order partial differential equations in fluid dynamics

article

Isogeometric Analysis for second order Partial Differential Equations on surfaces

Isogeometric Analysis of geometric Partial Differential Equations

Isogeometric Analysis of high order Partial Differential Equations on surfaces

article

Isogeometric analysis and proper orthogonal decomposition for parabolic problems

Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation

Isogeometric approximation of cardiac electrophysiology models on surfaces: An accuracy study with application to the human left atrium ⬇️

Isogeometric numerical dispersion analysis for two-dimensional elastic wave propagation

Large eddy simulations for blood dynamics in realistic stenotic carotids

scientific article published on 26 January 2017

Legendre and Chebyshev spectral approximations of Burgers' equation

Mathematical Modelling and Numerical Simulation of the Cardiovascular System

article

Mathematical Modelling of the Human Cardiovascular System

book

Mathematical and Numerical Modeling of Solute Dynamics in Blood Flow and Arterial Walls

article

Mathematical and numerical modelling of shallow water flow

scholarly article by V. I. Agoshkov et al published 1993 in Computational Mechanics

Mathematical and numerical models for coupling surface and groundwater flows

article

Mathematical and numerical models for transfer of low-density lipoproteins through the arterial walls: a new methodology for the model set up with applications to the study of disturbed lumenal flow

scientific article published in April 2005

Mathematical modelling of active contraction in isolated cardiomyocytes.

scientific article published on 10 June 2013

Mathematical models and numerical simulations for the America’s Cup

Mathematics and food: a tasty binomium

Metal artefact reduction in computed tomography images by a fourth-order total variation flow

scholarly article by Elena Faggiano et al published 25 July 2014 in Computer methods in biomechanics and biomedical engineering. Imaging & visualization

Mixed approximations of evolution problems

Model Order Reduction in Fluid Dynamics: Challenges and Perspectives ⬇️

article

Model reduction techniques for fast blood flow simulation in parametrized geometries

scientific article published on 5 October 2011

Modeling dimensionally-heterogeneous problems: analysis, approximation and applications

article

Modeling of salt tectonics

Modular vs. non-modular preconditioners for fluid–structure systems with large added-mass effect

Mortar Coupling for Heterogeneous Partial Differential Equations

Multi space reduced basis preconditioners for parametrized Stokes equations

Multilevel Schwarz methods for elliptic partial differential equations

Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations

article by Peng Chen et al published 5 July 2015 in Numerische Mathematik

Multimodels for Incompressible Flows

Multimodels for incompressible flows: iterative solutions for the Navier-Stokes/Oseen coupling

scientific article

Multiscale homogenization for fluid and drug transport in vascularized malignant tissues

article published in 2015

Nitsche’s method for parabolic partial differential equations with mixed time varying boundary conditions

Non-conforming high order approximations of the elastodynamics equation

Numerical Approximation of Internal Discontinuity Interface Problems

Numerical Approximation of a Control Problem for Advection-Diffusion Processes

article

Numerical Mathematics

college book about numerical mathematics

Numerical Models and Simulations in Sailing Yacht Design

Numerical Simulation of Sailing Boats: Dynamics, FSI, and Shape Optimization

article

Numerical Treatment of Defective Boundary Conditions for the Navier--Stokes Equations

Numerical analysis of the Navier–Stokes/Darcy coupling

article

Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method

Numerical modeling of fluid-structure interaction in arteries with anisotropic polyconvex hyperelastic and anisotropic viscoelastic material models at finite strains

scientific article published on 28 October 2015

Numerical modeling of heart valves using resistive Eulerian surfaces

scientific article published on 8 August 2015

Numerical modeling of hemodynamics scenarios of patient-specific coronary artery bypass grafts

scientific article

Numerical simulation of left ventricular assist device implantations: comparing the ascending and the descending aorta cannulations.

scientific article

Numerical simulation of orbitally shaken viscous fluids with free surface

scholarly article by Marco Discacciati et al published 14 February 2012 in International Journal for Numerical Methods in Fluids

Numerical solution of linear elastic problems by spectral collocation methods

Numerical solution of parametrized Navier–Stokes equations by reduced basis methods

article

OPTIMAL CONTROL AND SHAPE OPTIMIZATION OF AORTO-CORONARIC BYPASS ANASTOMOSES

On an equilibrium finite element method for plate bending problems

On computing upper and lower bounds on the outputs of linear elasticity problems approximated by the smoothed finite element method

scholarly article by Z. C. Xuan et al published 2010 in International Journal for Numerical Methods in Engineering

On mixed methods for fourth-order problems

article by Alfio Quarteroni published October 1980 in Computer Methods in Applied Mechanics and Engineering

On the boundary treatment in spectral methods for hyperbolic systems

On the coupling of 3D and 1D Navier–Stokes equations for flow problems in compliant vessels

On the coupling of hyperbolic and parabolic systems: analytical and numerical approach

article published in 1989

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

article published in 2013

One-dimensional models for blood flow in arteries

article

Optimal Control in Heterogeneous Domain Decomposition Methods for Advection-Diffusion Equations

Optimal control and numerical adaptivity for advection–diffusion equations

Optimal control in heterogeneous domain decomposition methods

Orthotropic active strain models for the numerical simulation of cardiac biomechanics

scientific article published on 28 February 2012

Parallel Algorithms for Fluid-Structure Interaction Problems in Haemodynamics

scholarly article by Paolo Crosetto et al published January 2011 in SIAM Journal on Scientific and Statistical Computing

Parallel algorithms for the capacitance matrix method in domain decompositions

Parallel computation for shallow water flow: A domain decomposition approach

article by L. Paglieri et al published September 1997 in Parallel Computing

Parallel preconditioners for the unsteady Navier–Stokes equations and applications to hemodynamics simulations

Parameter estimates for the Relaxed Dimensional Factorization preconditioner and application to hemodynamics

article

Patient-specific generation of the Purkinje network driven by clinical measurements of a normal propagation

Physiological simulation of blood flow in the aorta: Comparison of hemodynamic indices as predicted by 3-D FSI, 3-D rigid wall and 1-D models

article

Preconditioned minimal residual methods for chebyshev spectral calculations

Preface

Primal hybrid finite element methods for 4th order elliptic equations

Radial basis functions for inter-grid interpolation and mesh motion in FSI problems

Recent developments in the numerical simulation of shallow water equations I: boundary conditions

article by V.I. Agoshkov et al published September 1994 in Applied Numerical Mathematics

Reduced Basis Method for Parametrized Elliptic Optimal Control Problems

Reduced Basis Methods for Partial Differential Equations

scholarly article published 2016

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

Reduced basis method for linear elasticity problems with many parameters

Reduced basis techniques for nonlinear conservation laws

Reduced-order modeling of blood flow for noninvasive functional evaluation of coronary artery disease

scientific article published on 19 June 2019

Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling

Shape Design in Aorto-Coronaric Bypass Anastomoses Using Perturbation Theory

article by Valery Agoshkov et al published January 2006 in SIAM Journal on Numerical Analysis

Shape optimization for viscous flows by reduced basis methods and free-form deformation

Shear stress alterations in the celiac trunk of patients with a continuous-flow left ventricular assist device as shown by in-silico and in-vitro flow analyses.

scientific article published on 24 March 2017

Simulation-based uncertainty quantification of human arterial network hemodynamics

scientific article

Solvability analysis and numerical approximation of linearized cardiac electromechanics

Some results of bernstein and jackson type for polynomial approximation inL p-spaces

Spectral Approximation to Advection—Diffusion Problems by the Fictitious Interface Method

Spectral Element Discretization of Optimal Control Problems

Spectral and Pseudo-Spectral Approximations of the Navier–Stokes Equations

Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions

Spectral approximations of the Stokes problem by divergence-free functions

Spectral based Discontinuous Galerkin Reduced Basis Element method for parametrized Stokes problems

Spectral‐domain decomposition methods for the solution of acoustic and elastic wave equations

scholarly article

Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction

scholarly article by Santiago Badia et al published January 2008 in SIAM Journal on Scientific and Statistical Computing

Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem

Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations

article published in 2013

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

article

The Interface Control Domain Decomposition (ICDD) Method for Elliptic Problems

article published in 2013

The Interface Control Domain Decomposition Method for Stokes--Darcy Coupling

The Spectral Projection Decomposition Method for Elliptic Equations in Two Dimensions

The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications

scholarly article by Alfio Quarteroni et al published May 2017 in Acta Numerica

The circulatory system: from case studies to mathematical modeling

article

The non-circular shape of FloWatch-PAB prevents the need for pulmonary artery reconstruction after banding. Computational fluid dynamics and clinical correlations

scientific article published on 6 December 2005

The research of Alberto Valli

The role of statistics in the era of big data: A computational scientist’ perspective

Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics ⬇️

article

To the memory of Giovanni Sacchi Landriani

Trends in biomedical engineering: focus on Patient Specific Modeling and Life Support Systems

scientific article published on May 2011

Use of orbital shaken disposable bioreactors for mammalian cell cultures from the milliliter-scale to the 1,000-liter scale

scientific article published in January 2009

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

When Mathematics Goes Sailing (in America’s Cup)

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