Alfio Quarteroni

According to our database1, Alfio Quarteroni authored at least 84 papers between 1988 and 2021.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.



In proceedings 
PhD thesis 


Online presence:



A computational model applied to myocardial perfusion in the human heart: From large coronaries to microvasculature.
J. Comput. Phys., 2021

Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations.
CoRR, 2021

SUIHTER: A new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy.
CoRR, 2021

A Computational Comparison Between Isogeometric Analysis and Spectral Element Methods: Accuracy and Spectral Properties.
J. Sci. Comput., 2020

A cardiac electromechanics model coupled with a lumped parameters model for closed-loop blood circulation. Part II: numerical approximation.
CoRR, 2020

A cardiac electromechanics model coupled with a lumped parameters model for closed-loop blood circulation. Part I: model derivation.
CoRR, 2020

Iterative splitting schemes for a soft material poromechanics model.
CoRR, 2020

A Mathematical Dashboard for the Analysis of Italian COVID-19 Epidemic Data.
CoRR, 2020

An oscillation-free fully partitioned scheme for the numerical modeling of cardiac active mechanics.
CoRR, 2020

Deep learning-based reduced order models in cardiac electrophysiology.
CoRR, 2020

Integration of activation maps of epicardial veins in computational cardiac electrophysiology.
Comput. Biol. Medicine, 2020

An image-based computational hemodynamics study of the Systolic Anterior Motion of the mitral valve.
Comput. Biol. Medicine, 2020

Simulation of the Hemodynamic Effects of the Left Atrial Appendage Occlusion in Atrial Fibrillation: Preliminary Results.
Proceedings of the Computing in Cardiology, 2020

Machine learning for fast and reliable solution of time-dependent differential equations.
J. Comput. Phys., 2019

Multi space reduced basis preconditioners for parametrized Stokes equations.
Comput. Math. Appl., 2019

Multi Space Reduced Basis Preconditioners for Large-Scale Parametrized PDEs.
SIAM J. Sci. Comput., 2018

Isogeometric analysis and proper orthogonal decomposition for parabolic problems.
Numerische Mathematik, 2017

Efficient State/Parameter Estimation in Nonlinear Unsteady PDEs by a Reduced Basis Ensemble Kalman Filter.
SIAM/ASA J. Uncertain. Quantification, 2017

Reduced Basis Methods for Uncertainty Quantification.
SIAM/ASA J. Uncertain. Quantification, 2017

The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications.
Acta Numer., 2017

A Patient-Specific Computational Fluid Dynamics Model of the Left Atrium in Atrial Fibrillation: Development and Initial Evaluation.
Proceedings of the Functional Imaging and Modelling of the Heart, 2017

Development of a Computational Fluid Dynamics Model of the Left Atrium in Atrial Fibrillation on a Patient Specific Basis.
Proceedings of the Computing in Cardiology, 2017

The Interface Control Domain Decomposition Method for Stokes-Darcy Coupling.
SIAM J. Numer. Anal., 2016

Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations.
Numerische Mathematik, 2016

High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation.
Numer. Algorithms, 2016

Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem.
J. Sci. Comput., 2016

A coupled 3D-1D numerical monodomain solver for cardiac electrical activation in the myocardium with detailed Purkinje network.
J. Comput. Phys., 2016

FaCSI: A block parallel preconditioner for fluid-structure interaction in hemodynamics.
J. Comput. Phys., 2016

Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization.
J. Comput. Phys., 2016

Metal artefact reduction in computed tomography images by a fourth-order total variation flow.
Comput. methods Biomech. Biomed. Eng. Imaging Vis., 2016

Spectral based Discontinuous Galerkin Reduced Basis Element method for parametrized Stokes problems.
Comput. Math. Appl., 2016

Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries.
Comput. Math. Appl., 2016

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem.
SIAM J. Numer. Anal., 2015

A new algorithm for high-dimensional uncertainty quantification based on dimension-adaptive sparse grid approximation and reduced basis methods.
J. Comput. Phys., 2015

Efficient Numerical Schemes for Computing Cardiac Electrical Activation over Realistic Purkinje Networks: Method and Verification.
Proceedings of the Functional Imaging and Modeling of the Heart, 2015

A Rescaled Localized Radial Basis Function Interpolation on Non-Cartesian and Nonconforming Grids.
SIAM J. Sci. Comput., 2014

Patient-specific generation of the Purkinje network driven by clinical measurements of a normal propagation.
Medical Biol. Eng. Comput., 2014

Weighted Reduced Basis Method for Stochastic Optimal Control Problems with Elliptic PDE Constraint.
SIAM/ASA J. Uncertain. Quantification, 2014

Comparison Between Reduced Basis and Stochastic Collocation Methods for Elliptic Problems.
J. Sci. Comput., 2014

Comparisons between reduced order models and full 3D models for fluid-structure interaction problems in haemodynamics.
J. Comput. Appl. Math., 2014

Mortar Coupling for Heterogeneous Partial Differential Equations.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Reduced Basis Method for Parametrized Elliptic Optimal Control Problems.
SIAM J. Sci. Comput., 2013

Numerical Approximation of Internal Discontinuity Interface Problems.
SIAM J. Sci. Comput., 2013

A Weighted Reduced Basis Method for Elliptic Partial Differential Equations with Random Input Data.
SIAM J. Numer. Anal., 2013

Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations.
SIAM J. Numer. Anal., 2013

The Interface Control Domain Decomposition (ICDD) Method for Elliptic Problems.
SIAM J. Control. Optim., 2013

Implicit Coupling of One-Dimensional and Three-Dimensional Blood Flow Models with Compliant Vessels.
Multiscale Model. Simul., 2013

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics.
J. Comput. Phys., 2013

Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity.
Adv. Comput. Math., 2013

A Reduced Basis Model with Parametric Coupling for Fluid-Structure Interaction Problems.
SIAM J. Sci. Comput., 2012

A Reduced-Order Strategy for Solving Inverse Bayesian Shape Identification Problems in Physiological Flows.
Proceedings of the Modeling, Simulation and Optimization of Complex Processes, 2012

Parallel Algorithms for Fluid-Structure Interaction Problems in Haemodynamics.
SIAM J. Sci. Comput., 2011

Electromechanical Coupling in Cardiac Dynamics: The Active Strain Approach.
SIAM J. Appl. Math., 2011

Analysis of a finite volume element method for the Stokes problem.
Numerische Mathematik, 2011

A multiscale Darcy-Brinkman model for fluid flow in fractured porous media.
Numerische Mathematik, 2011

Modeling dimensionally-heterogeneous problems: analysis, approximation and applications.
Numerische Mathematik, 2011

An ALE-based numerical technique for modeling sedimentary basin evolution featuring layer deformations and faults.
J. Comput. Phys., 2011

Extended Variational Formulation for Heterogeneous Partial Differential Equations.
Comput. Methods Appl. Math., 2011

Finite-Element Preconditioning of G-NI Spectral Methods.
SIAM J. Sci. Comput., 2010

Numerical analysis of the Navier-Stokes/Darcy coupling.
Numerische Mathematik, 2010

A distributed model of traffic flows on extended regions.
Networks Heterog. Media, 2010

J. Sci. Comput., 2010

Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations.
J. Sci. Comput., 2010

Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction.
J. Comput. Phys., 2009

Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction.
SIAM J. Sci. Comput., 2008

Robin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling.
SIAM J. Numer. Anal., 2007

An Interface-Strip Domain Decomposition Preconditioner.
SIAM J. Sci. Comput., 2006

Shape Design in Aorto-Coronaric Bypass Anastomoses Using Perturbation Theory.
SIAM J. Numer. Anal., 2006

A Mathematical Approach in the Design of Arterial Bypass Using Unsteady Stokes Equations.
J. Sci. Comput., 2006

Analysis of a Geometrical Multiscale Blood Flow Model Based on the Coupling of ODEs and Hyperbolic PDEs.
Multiscale Model. Simul., 2005

Numerical Approximation of a Control Problem for Advection-Diffusion Processes.
Proceedings of the System Modeling and Optimization, 2005

Analysis of a Geometrical Multiscale Model Based on the Coupling of ODE and PDE for Blood Flow Simulations.
Multiscale Model. Simul., 2003

On Parallel Computation of Blood Flow in Human Arterial Network Based on 1-D Modelling.
Computing, 2003

A Domain Decomposition Method for Advection-Diffusion Processes with Application to Blood Solutes.
SIAM J. Sci. Comput., 2002

Mathematical and Numerical Modeling of Solute Dynamics in Blood Flow and Arterial Walls.
SIAM J. Numer. Anal., 2002

Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations.
SIAM J. Numer. Anal., 2002

On the Simulation of Unsteady Flow of an Oldroyd-B Fluid by Spectral Methods.
J. Sci. Comput., 2002

Mathematical Modelling and Visualisation of Complex Three-dimensional Flows.
Proceedings of the Third International Workshop "Visualization and Mathematics", 2002

Heterogeneous coupling by virtual control methods.
Numerische Mathematik, 2001

Parallel Computation for Shallow Water Flow: A Domain Decomposition Approach.
Parallel Comput., 1997

Parallel conjugate gradient with Schwarz preconditioner applied to fluid dynamics problems.
Proceedings of the Conference on Parallel Computational Fluid Dynamics 1996, 1996

2. Domain Decomposition Methods for Wave Propagation Problems.
Proceedings of the Domain-Based Parallelism and Problem Decomposition Methods in Computational Science and Engineering, 1995

Domain Decomposition Methods for Systems of Conservation Laws: Spectral Collocation Approximations.
SIAM J. Sci. Comput., 1990

Domain decomposition preconditioners for the spectral collocation method.
J. Sci. Comput., 1988