Alfio Quarteroni | Academic Influence

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Alfio Quarteroni

Mathematics

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#4099

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Applied Mathematics

#53

World Rank

#63

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Measure Theory

#323

World Rank

#489

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Mathematics

Why Is Alfio Quarteroni Influential?

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According to Wikipedia, Alfio Quarteroni is an Italian mathematician. He is Professor of Numerical Analysis at the Politecnico of Milan , since 1989 and has been the director of the Chair of Modelling and Scientific Computing at the EPFL , Lausanne , from 1998 until 2017. He is the founder of MOX at Politecnico of Milan and MATHICSE at EPFL, Lausanne . He is co-founder of MOXOFF, a spin-off company at Politecnico of Milan .

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Alfio Quarteroni's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Spectral methods for fluid dynamics (1987) (4781)
Numerical Approximation of Partial Differential Equations (2008) (2031)
Spectral Methods: Fundamentals in Single Domains (2010) (1928)
Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics (Scientific Computation) (2007) (693)
Domain Decomposition Methods for Partial Differential Equations (1999) (680)
Reduced Basis Methods for Partial Differential Equations: An Introduction (2015) (668)
On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels (2001) (620)
Cardiovascular mathematics : modeling and simulation of the circulatory system (2009) (577)
Computational vascular fluid dynamics: problems, models and methods (2000) (522)
Numerical Models for Differential Problems (2009) (505)
Approximation results for orthogonal polynomials in Sobolev spaces (1982) (480)
One-dimensional models for blood flow in arteries (2003) (445)
Mathematical and numerical models for coupling surface and groundwater flows (2002) (433)
2d and 3D elastic wave propagation by a pseudo-spectral domain decomposition method (1997) (319)
Reduced Order Methods for Modeling and Computational Reduction (2013) (307)
Multiscale modelling of the circulatory system: a preliminary analysis (1999) (306)
Mathematical Modelling and Numerical Simulation of the Cardiovascular System (2004) (276)
Certified reduced basis approximation for parametrized partial differential equations and applications (2011) (275)
Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations (2002) (225)
Navier-Stokes/Darcy Coupling: Modeling, Analysis, and Numerical Approximation (2009) (218)
Robin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling (2007) (209)
Numerical Mathematics (Texts in Applied Mathematics) (2006) (203)
Model Order Reduction in Fluid Dynamics: Challenges and Perspectives (2014) (203)
Supremizer stabilization of POD–Galerkin approximation of parametrized steady incompressible Navier–Stokes equations (2015) (201)
Analysis of a Geometrical Multiscale Model Based on the Coupling of ODE and PDE for Blood Flow Simulations (2003) (200)
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. (2005) (195)
A relaxation procedure for domain decomposition methods using finite elements (1989) (192)
Fluid―structure interaction simulation of aortic blood flow (2011) (186)
Integrated Heart—Coupling multiscale and multiphysics models for the simulation of the cardiac function (2017) (184)
Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction (2008) (180)
An Iterative Procedure with Interface Relaxation for Domain Decomposition Methods (1988) (180)
Fluid–structure algorithms based on Steklov–Poincaré operators (2006) (178)
Factorization methods for the numerical approximation of Navier-Stokes equations (2000) (175)
A vision and strategy for the virtual physiological human in 2010 and beyond (2010) (165)
Domain Decomposition Methods in Science and Engineering (1994) (164)
Scientific Computing with MATLAB and Octave (2006) (162)
Numerical solution of parametrized Navier–Stokes equations by reduced basis methods (2007) (151)
On the coupling of 1D and 3D diffusion-reaction equations. Applications to tissue perfusion problems (2008) (149)
Geometric multiscale modeling of the cardiovascular system, between theory and practice (2016) (148)
Coupling between lumped and distributed models for blood flow problems (2001) (147)
Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations (2004) (144)
The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications * (2017) (138)
Analysis of lumped parameter models for blood flow simulations and their relation with 1D models (2004) (137)
Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect (2008) (137)
Parallel Algorithms for Fluid-Structure Interaction Problems in Haemodynamics (2011) (137)
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. (2013) (134)
A SEMI-IMPLICIT APPROACH FOR FLUID-STRUCTURE INTERACTION BASED ON AN ALGEBRAIC FRACTIONAL STEP METHOD (2007) (127)
Numerical analysis of the Navier–Stokes/Darcy coupling (2010) (126)
Domain Decomposition Methods for Compressible Flows (1999) (123)
Mathematical and Numerical Modeling of Solute Dynamics in Blood Flow and Arterial Walls (2001) (123)
Shape optimization for viscous flows by reduced basis methods and free‐form deformation (2012) (123)
Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction (2009) (116)
Isogeometric Analysis and error estimates for high order partial differential equations in Fluid Dynamics (2014) (114)
Reduced Basis Method for Parametrized Elliptic Optimal Control Problems (2013) (113)
Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations (2003) (113)
OPTIMAL CONTROL AND SHAPE OPTIMIZATION OF AORTO-CORONARIC BYPASS ANASTOMOSES (2003) (112)
Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics (2014) (109)
A reduced computational and geometrical framework for inverse problems in hemodynamics (2013) (108)
Cardiovascular mathematics (2000) (103)
Spectral-domain decomposition methods for the solution of acoustic and elastic wave equations (1996) (98)
Model reduction techniques for fast blood flow simulation in parametrized geometries (2012) (97)
Orthotropic active strain models for the numerical simulation of cardiac biomechanics (2012) (96)
Multiscale modelling as a tool to prescribe realistic boundary conditions for the study of surgical procedures. (2002) (95)
Analysis of a Geometrical Multiscale Blood Flow Model Based on the Coupling of ODEs and Hyperbolic PDEs (2005) (94)
Electromechanical Coupling in Cardiac Dynamics: The Active Strain Approach (2011) (94)
An active strain electromechanical model for cardiac tissue (2012) (89)
A vision and strategy for the virtual physiological human: 2012 update (2013) (88)
A 3D/1D geometrical multiscale model of cerebral vasculature (2009) (84)
Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization (2016) (84)
Non-conforming high order approximations of the elastodynamics equation (2012) (84)
Non-conforming high order approximations of the elastodynamics equation (2012) (84)
Complex Systems in Biomedicine (2006) (81)
A One Dimensional Model for Blood Flow: Application to Vascular Prosthesis (2002) (79)
Isogeometric Analysis for second order Partial Differential Equations on surfaces (2015) (78)
A multiscale Darcy–Brinkman model for fluid flow in fractured porous media (2011) (78)
A Weighted Reduced Basis Method for Elliptic Partial Differential Equations with Random Input Data (2013) (77)
Machine learning for fast and reliable solution of time-dependent differential equations (2019) (76)
Simulation‐based uncertainty quantification of human arterial network hemodynamics (2013) (76)
MATHICSE Technical Report : Isogeometric analysis of high order partial differential equations on surfaces (2015) (76)
Comparison Between Reduced Basis and Stochastic Collocation Methods for Elliptic Problems (2014) (75)
A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks (2012) (75)
Use of orbital shaken disposable bioreactors for mammalian cell cultures from the milliliter-scale to the 1,000-liter scale. (2009) (75)
Coupling of free surface and groundwater flows (2003) (73)
Efficient oxygen transfer by surface aeration in shaken cylindrical containers for mammalian cell cultivation at volumetric scales up to 1000 L (2009) (72)
Mathematical models and numerical simulations for the America"s Cup (2005) (71)
Finite element approximation of Quasi-3D shallow water equations (1999) (71)
Analysis of the Yosida Method for the Incompressible Navier-Stokes Equations (1999) (70)
Mathematical Modelling of the Human Cardiovascular System (2019) (70)
Multiscale homogenization for fluid and drug transport in vascularized malignant tissues (2015) (69)
Preconditioned minimal residual methods for Chebyshev spectral calculations (1985) (68)
Mathematical modelling of active contraction in isolated cardiomyocytes. (2014) (68)
On the coupling of hyperbolic and parabolic systems: analytical and numerical approach (1988) (66)
A mortar spectral/finite element method for complex 2D and 3D elastodynamic problems (2002) (66)
Helical flows and asymmetry of blood jet in dilated ascending aorta with normally functioning bicuspid valve (2013) (62)
Weighted Reduced Basis Method for Stochastic Optimal Control Problems with Elliptic PDE Constraint (2014) (61)
The Impact of Left Atrium Appendage Morphology on Stroke Risk Assessment in Atrial Fibrillation: A Computational Fluid Dynamics Study (2019) (60)
Reduced Basis Techniques For Nonlinear Conservation Laws (2015) (60)
A Rescaled Localized Radial Basis Function Interpolation on Non-Cartesian and Nonconforming Grids (2014) (59)
Legendre and Chebyshev spectral approximations of Burgers' equation (1981) (59)
FaCSI: A block parallel preconditioner for fluid-structure interaction in hemodynamics (2016) (59)
Generalized Galerkin approximations of elastic waves with absorbing boundary conditions (1998) (57)
Comparisons between reduced order models and full 3D models for fluid-structure interaction problems in haemodynamics (2014) (57)
Spectral and Pseudo-Spectral Approximations of the Navier–Stokes Equations (1982) (56)
Mathematical Models in Science and Engineering (2009) (56)
Mathematical Modelling of the Cardiovascular System (2003) (55)
Error analysis for spectral approximation of the Korteweg-De Vries equation (1988) (55)
Isogeometric numerical dispersion analysis for two-dimensional elastic wave propagation (2015) (54)
Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations (2016) (53)
Heterogeneous coupling by virtual control methods (2001) (53)
Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations (2021) (51)
Shape Design in Aorto-Coronaric Bypass Anastomoses Using Perturbation Theory (2006) (51)
Optimal Control and Numerical Adaptivity for Advection-Diffusion Equations (2005) (50)
Numerical Simulation of Sailing Boats: Dynamics, FSI, and Shape Optimization (2012) (50)
On the physical consistency between three-dimensional and one-dimensional models in haemodynamics (2013) (50)
Numerical modeling of fluid–structure interaction in arteries with anisotropic polyconvex hyperelastic and anisotropic viscoelastic material models at finite strains (2016) (48)
Fourier spectral methods for pseudo-parabolic equations (1987) (48)
Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations (2013) (48)
Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method (2018) (47)
Modeling of physiological flows (2012) (47)
Accurate and efficient evaluation of failure probability for partial different equations with random input data (2013) (46)
Finite-Element Preconditioning of G-NI Spectral Methods (2009) (46)
Scientific Computing with MATLAB (2003) (46)
Computational Reduction for Parametrized PDEs: Strategies and Applications (2012) (46)
A monolithic algorithm for the simulation of cardiac electromechanics in the human left ventricle (2018) (46)
Reduced basis method for linear elasticity problems with many parameters (2008) (45)
Theory and Application of Steklov-Poincaré Operators for Boundary-Value Problems (1991) (45)
A patient-specific aortic valve model based on moving resistive immersed implicit surfaces (2017) (45)
A Mathematical Approach in the Design of Arterial Bypass Using Unsteady Stokes Equations (2006) (44)
Reduced Basis Methods for Uncertainty Quantification (2017) (44)
A domain decomposition framework for fluid-structure interaction problems (2006) (43)
Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries (2016) (43)
An orthotropic active{strain model for the myocardium mechanics and its numerical approximation (2014) (43)
Domain Decomposition Methods for Systems of Conservation Laws: Spectral Collocation Approximations (1990) (42)
Implicit Coupling of One-Dimensional and Three-Dimensional Blood Flow Models with Compliant Vessels (2013) (42)
Some results of bernstein and jackson type for polynomial approximation inLp-spaces (1984) (41)
Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty (2013) (40)
A weighted empirical interpolation method: a priori convergence analysis and applications (2014) (40)
A new algorithm for high-dimensional uncertainty quantification based on dimension-adaptive sparse grid approximation and reduced basis methods (2015) (40)
A Reduced Basis Model with Parametric Coupling for Fluid-Structure Interaction Problems (2012) (40)
Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics (2020) (39)
Multiscale models of the vascular system (2009) (39)
Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows (2011) (39)
A Domain Decomposition Method for Advection-Diffusion Processes with Application to Blood Solutes (2001) (38)
Dispersion-dissipation analysis of 3-D continuous and discontinuous spectral element methods for the elastodynamics equation (2017) (38)
Numerical modeling of hemodynamics scenarios of patient-specific coronary artery bypass grafts (2017) (38)
Reduced basis methods for optimal control of advection-diffusion problems ∗ (2007) (38)
Biophysically detailed mathematical models of multiscale cardiac active mechanics (2020) (37)
Mathematical and numerical modelling of shallow water flow (1993) (37)
Numerical simulation of orbitally shaken viscous fluids with free surface (2013) (37)
Adaptive Domain Decomposition Methods for Advection-Diffusion Problems (1995) (37)
Analysis of the combined finite element and Fourier interpolation (1982) (37)
Domain decomposition preconditioners for the spectral collocation method (1988) (37)
Isogeometric approximation of cardiac electrophysiology models on surfaces: An accuracy study with application to the human left atrium (2017) (37)
Finite element preconditioning for legendre spectral collocation approximations to elliptic equations and systems (1992) (36)
Modeling the cardiovascular system: a mathematical challenge (2001) (36)
Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions (1981) (36)
Deep learning-based reduced order models in cardiac electrophysiology (2020) (36)
An implicit/explicit spectral method for Burgers' equation (1986) (36)
Patient-specific generation of the Purkinje network driven by clinical measurements of a normal propagation (2014) (36)
Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem (2013) (35)
Parallel Preconditioners for the unsteady Navier-Stokes Equations and applications to Hemodynamics Simulations (2014) (35)
Two-Point Boundary Value Problems (2006) (34)
A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics (2017) (34)
Fluid dynamics of an idealized left ventricle: the extended Nitsche's method for the treatment of heart valves as mixed time varying boundary conditions (2017) (34)
The non-circular shape of FloWatch-PAB prevents the need for pulmonary artery reconstruction after banding. Computational fluid dynamics and clinical correlations. (2006) (32)
Large eddy simulations for blood dynamics in realistic stenotic carotids (2017) (32)
Parameter estimates for the Relaxed Dimensional Factorization preconditioner and application to hemodynamics (2016) (32)
Recent developments in the numerical simulation of shallow water equations I: boundary conditions (1992) (31)
A coupled 3D-1D numerical monodomain solver for cardiac electrical activation in the myocardium with detailed Purkinje network (2016) (31)
Generalized Reduced Basis Methods and n-Width Estimates for the Approximation of the Solution Manifold of Parametric PDEs (2013) (31)
Fully Eulerian finite element approximation of a fluid‐structure interaction problem in cardiac cells (2013) (31)
Error Estimates for Spectral and Pseudospectral Approximations of Hyperbolic Equations (1982) (31)
The Interface Control Domain Decomposition (ICDD) Method for Elliptic Problems (2013) (31)
Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem (2015) (30)
Numerical Approximation of a Control Problem for Advection-Diffusion Processes (2005) (29)
Active contraction of cardiac cells: a reduced model for sarcomere dynamics with cooperative interactions (2018) (29)
High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation (2015) (29)
Numerical simulation of left ventricular assist device implantations: comparing the ascending and the descending aorta cannulations. (2013) (29)
Radial basis functions for inter-grid interpolation and mesh motion in FSI problems (2013) (29)
Modeling of salt tectonics (2007) (28)
Multiscale and Adaptivity: Modeling, Numerics and Applications (2012) (28)
Modeling dimensionally-heterogeneous problems: analysis, approximation and applications (2011) (28)
Polygonal surface processing and mesh generation tools for the numerical simulation of the cardiac function (2021) (27)
Multimodels for Incompressible Flows (2000) (27)
A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation (2022) (27)
Combined finite element and spectral approximation of the Navier-Stokes equations (1984) (26)
The derivation of the equations for fluids and structure (2009) (26)
Hemodynamics of the heart's left atrium based on a Variational Multiscale-LES numerical model (2021) (26)
INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces (2016) (26)
Advanced numerical approximation of nonlinear hyperbolic equations : lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23-28, 1997 (1998) (26)
Complex blood flow patterns in an idealized left ventricle: A numerical study. (2017) (26)
Computational generation of the Purkinje network driven by clinical measurements: The case of pathological propagations (2014) (25)
Computational comparison of aortic root stresses in presence of stentless and stented aortic valve bio-prostheses (2017) (25)
Numerical modeling of seismic waves by discontinuous spectral element methods (2018) (24)
Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations (2010) (24)
A Patient-Specific Computational Fluid Dynamics Model of the Left Atrium in Atrial Fibrillation: Development and Initial Evaluation (2017) (24)
A modular lattice boltzmann solver for GPU computing processors (2012) (24)
A Proof of Concept for Computational Fluid Dynamic Analysis of the Left Atrium in Atrial Fibrillation on a Patient-Specific Basis (2019) (24)
Free Form Deformation Techniques Applied to 3D Shape Optimization Problems (2013) (23)
Heterogeneous mathematical models in fluid dynamics and associated solution algorithms (2011) (23)
Parallel Computation for Shallow Water Flow: A Domain Decomposition Approach (1997) (23)
Isogeometric analysis and proper orthogonal decomposition for parabolic problems (2017) (23)
Coupling of viscous and inviscid Stokes equations via a domain decomposition method for finite elements (1991) (22)
Scientific Computing with MATLAB and Octave (Texts in Computational Science and Engineering) (2006) (22)
Analysis of a finite volume element method for the Stokes problem (2011) (22)
A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics (2018) (22)
A distributed model of traffic flows on extended regions (2010) (22)
An image-based computational hemodynamics study of the Systolic Anterior Motion of the mitral valve (2020) (21)
Spectral and high order methods for partial differential equations : proceedings of the ICOSAHOM'89 Conference, Villa Olmo, Como (Italy) 26-29 June 1989 (1990) (21)
What mathematics can do for the simulation of blood circulation (2006) (21)
SUIHTER: a new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy (2021) (21)
Electromechanical modeling of human ventricles with ischemic cardiomyopathy: numerical simulations in sinus rhythm and under arrhythmia (2021) (21)
A computational fluid-structure interaction analysis of coronary Y-grafts. (2017) (21)
A cardiac electromechanics model coupled with a lumped parameters model for closed-loop blood circulation. Part I: model derivation (2020) (21)
Numerical modeling of heart valves using resistive Eulerian surfaces (2016) (20)
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. (2017) (20)
Modeling the Cardiovascular System — A Mathematical Adventure : Part II (2001) (20)
A numerical study of isotropic and anisotropic constitutive models with relevance to healthy and unhealthy cerebral arterial tissues (2016) (20)
3D-0D closed-loop model for the simulation of cardiac biventricular electromechanics (2021) (20)
Optimal Control in Heterogeneous Domain Decomposition Methods for Advection-Diffusion Equations (2006) (19)
Modeling the heart and the circulatory system (2015) (19)
MULTIMODELS FOR INCOMPRESSIBLE FLOWS: ITERATIVE SOLUTIONS FOR THE NAVIER-STOKES/OSEEN COUPLING (2001) (19)
A computational model applied to myocardial perfusion in the human heart: From large coronaries to microvasculature (2021) (19)
Numerical approximation of the electromechanical coupling in the left ventricle with inclusion of the Purkinje network (2018) (19)
Mathematical analysis of the Navier-Stokes / Darcy coupling (2006) (19)
An intergrid transfer operator using radial basis functions with application to cardiac electromechanics (2020) (19)
Computational study of the risk of restenosis in coronary bypasses (2017) (19)
Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity (2013) (19)
Fluid-structure interaction simulations of cerebral arteries modeled by isotropic and anisotropic constitutive laws (2015) (19)
Efficient State/Parameter Estimation in Nonlinear Unsteady PDEs by a Reduced Basis Ensemble Kalman Filter (2017) (18)
Interface control domain decomposition methods for heterogeneous problems (2014) (18)
Multipatch Isogeometric Analysis for electrophysiology: Simulation in a human heart (2021) (18)
Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation (2017) (18)
Assisted Fontan procedure: animal and in vitro models and computational fluid dynamics study. (2010) (18)
Isogeometric Analysis of the electrophysiology in the human heart: Numerical simulation of the bidomain equations on the atria (2019) (18)
Finite element and finite volume‐element simulation of pseudo‐ECGs and cardiac alternans (2015) (18)
A geometric multiscale model for the numerical simulation of blood flow in the human left heart (2021) (18)
The Outer Loop and Isthmus in Ventricular Tachycardia Circuits: Characteristics and Implications. (2020) (18)
Segregated Algorithms for the Numerical Simulation of Cardiac Electromechanics in the Left Human Ventricle (2020) (18)
Computational fluid dynamics of blood flow in an idealized left human heart (2019) (17)
A discontinuous Galerkin reduced basis element method for elliptic problems (2016) (17)
Solvability analysis and numerical approximation of linearized cardiac electromechanics (2015) (17)
Basic mathematical models and motivations (2009) (17)
High order methods for the approximation of the incompressible Navier–Stokes equations in a moving domain (2012) (17)
Coupling of two-dimensional hyperbolic and elliptic equations (1990) (17)
Computational bottlenecks for PROMs : precomputation and hyperreduction (2020) (17)
RECENT DEVELOPMENTS IN THE NUMERICAL SIMULATION OF SHALLOW WATER EQUATIONS II: TEMPORAL DISCRETIZATION (1994) (16)
Modeling and simulation of blood flow problems (1997) (16)
Numerical Solution of Ordinary Differential Equations (2006) (16)
The role of mechano-electric feedbacks and hemodynamic coupling in scar-related ventricular tachycardia (2021) (16)
The circulatory system: from case studies to mathematical modeling (2006) (16)
Spectral approximations of the Stokes problem by divergence-free functions (1987) (16)
Analysis of Chebyshev collocation methods for parabolic equations (1986) (16)
Assessing the disturbed flow and the transition to turbulence in the arteriovenous fistula. (2019) (15)
Numerical Approximation of Internal Discontinuity Interface Problems (2013) (15)
Active Force Generation in Cardiac Muscle Cells: Mathematical Modeling and Numerical Simulation of the Actin-Myosin Interaction (2020) (15)
From the global cardiovascular hemodynamics down to the local blood motion: preliminary applications of a multiscale approach (2000) (15)
On computing upper and lower bounds on the outputs of linear elasticity problems approximated by the smoothed finite element method (2010) (15)
Reduced-order modeling of blood flow for noninvasive functional evaluation of coronary artery disease (2019) (15)
A cardiac electromechanics model coupled with a lumped parameters model for closed-loop blood circulation. Part II: numerical approximation (2020) (14)
Heterogeneous domain decomposition methods for fluid-structure interaction problems (2007) (14)
Asymptotic-numerical derivation of the Robin type coupling conditions for the macroscopic pressure at a reservoir–capillaries interface (2013) (14)
Adn and Arn Domain Decomposition Methods for Advection-diiusion Equations (14)
Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model (2020) (14)
An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems (2016) (14)
Effective spectral approximations of convection—diffusion equations (1994) (14)
The Interface Control Domain Decomposition Method for Stokes-Darcy Coupling (2016) (14)
Isogeometric Analysis of geometric partial differential equations (2016) (13)
Scientific Computing with MATLAB and Octave, 3rd ed. (2010) (13)
The Spectral Projection Decomposition Method for Elliptic Equations in Two Dimensions (1997) (13)
Analysis of the INTERNODES method for non-conforming discretizations of elliptic equations (2018) (13)
A Reduced-Order Strategy for Solving Inverse Bayesian Shape Identification Problems in Physiological Flows (2012) (13)
High Order Space-Time Discretization for Elastic Wave Propagation Problems (2014) (13)
A finite element method for 3D hydrostatic water flows (1999) (13)
A Spectral Multidomain Method for the Numerical Simulation of Turbulent Flows (1997) (13)
Accelerating the convergence to a limit cycle in 3D cardiac electromechanical simulations through a data-driven 0D emulator (2021) (13)
A Fluid–Structure Interaction Algorithm Using Radial Basis Function Interpolation Between Non-Conforming Interfaces (2016) (12)
Reduced order methods for uncertainty quantification problems (2015) (12)
Hybrid finite element methods for the von Karman equations (1979) (12)
An oscillation-free fully staggered algorithm for velocity-dependent active models of cardiac mechanics (2021) (12)
On mixed methods for fourth-order problems (1980) (12)
Integration of activation maps of epicardial veins in computational cardiac electrophysiology (2020) (12)
hp -Version Discontinuous Galerkin Approximations of the Elastodynamics Equation (2017) (12)
On the boundary treatment in spectral methods for hyperbolic systems (1987) (12)
A mathematical model that integrates cardiac electrophysiology, mechanics, and fluid dynamics: Application to the human left heart (2022) (11)
HOMOGENEOUS AND HETEROGENEOUS DOMAIN DECOMPOSITION FOR COMPRESSIBLE FLUID FLOWS AT HIGH REYNOLDS NUMBERS (1998) (11)
Activation Models for the Numerical Simulation of Cardiac Electromechanical Interactions (2013) (11)
Extended Variational Formulation for Heterogeneous Partial Differential Equations (2011) (11)
A machine learning method for real-time numerical simulations of cardiac electromechanics (2021) (11)
A transmurally heterogeneous orthotropic activation model for ventricular contraction and its numerical validation (2018) (11)
Impact of Atrial Fibrillation on Left Atrium Haemodynamics: A Computational Fluid Dynamics Study (2022) (11)
Computational fluid dynamics at CRS4, Italy (1996) (11)
Spectral approximation to advection-diffusion problems by the fictitious interface method (1993) (11)
Numerical solution of linear elastic problems by spectral collocation methods (1993) (11)
Numerical Solution of the Navier-Stokes Equations for Viscous Compressible Flows (1994) (10)
Parallel algorithms for the capacitance matrix method in domain decompositions (1988) (10)
On an equilibrium finite element method for plate bending problems (1980) (10)
Numerical simulation of the arterial pulse propagation using one-dimensional models (2003) (10)
lifex – heart module: a high-performance simulator for the cardiac function Package 1: Fiber generation (2022) (10)
An algebraic least squares reduced basis method for the solution of nonaffinely parametrized Stokes equations (2019) (10)
Improved hybrid/GPU algorithm for solving cardiac electrophysiology problems on Purkinje networks (2017) (10)
Stabilization Strategies for High Order Methods for Transport Dominated Problems (2008) (10)
Connecting Ventricular Assist Devices to the Aorta: a Numerical Model (2012) (9)
Blending Fourier and Chebyshev interpolation (1987) (9)
A comprehensive and biophysically detailed computational model of the whole human heart electromechanics (2022) (9)
A Computational Fluid Dynamics Approach for Personalized Stroke Risk Assessment in Atrial Fibrillation. (2019) (9)
POD-Enhanced Deep Learning-Based Reduced Order Models for the Real-Time Simulation of Cardiac Electrophysiology in the Left Atrium (2021) (9)
Reduced Order Modeling for Cardiac Electrophysiology and Mechanics: New Methodologies, Challenges and Perspectives (2018) (9)
An ALE-based numerical technique for modeling sedimentary basin evolution featuring layer deformations and faults (2011) (9)
On Parallel Computation of Blood Flow in Human Arterial Network Based on 1-D Modelling (2003) (9)
Slow Conduction Corridors and Pivot Sites Characterize the Electrical Remodeling in Atrial Fibrillation. (2022) (9)
Current-voltage characteristics simulation of semiconductor devices using domain decomposition (1995) (9)
Spectral based Discontinuous Galerkin Reduced Basis Element method for parametrized Stokes problems (2016) (8)
An adaptive finite element method for modeling salt diapirism (2006) (8)
Analysis of morphological and hemodynamical indexes in abdominal aortic aneurysms as preliminary indicators of intraluminal thrombus deposition (2019) (8)
The INTERNODES Method for Non-conforming Discretizations of PDEs (2019) (8)
Multi Space Reduced Basis Preconditioners for Large-Scale Parametrized PDEs (2018) (8)
Primal hybrid finite element methods for 4th order elliptic equations (1979) (8)
A parallel algorithm for the solution of large-scale nonconforming fluid-structure interaction problems in hemodynamics (2017) (8)
A Vision and Strategy for the VPH in 2010 and beyond (2010) (8)
Snapshot-Based Methods and Algorithms (2020) (8)
Supremizer stabilization of POD-Galerkin approximation of parametrized Navier-Stokes equations (2015) (8)
A Computational Comparison Between Isogeometric Analysis and Spectral Element Methods: Accuracy and Spectral Properties (2020) (8)
The role of statistics in the era of big data: A computational scientist’ perspective (2018) (7)
Domain decomposition for a generalized Stokes problem (1990) (7)
Spectral Approximation of Navier-Stokes Equations (2000) (7)
Effect of fibre orientation and bulk modulus on the electromechanical modelling of human ventricles (2020) (7)
A Comparison of Preconditioners for the Steklov–Poincaré Formulation of the Fluid‐Structure Coupling in Hemodynamics (2015) (7)
Modeling the cardiac response to hemodynamic changes associated with COVID-19: a computational study. (2021) (7)
Modelling and numerical simulation for yacht design (2007) (7)
Number 5 Modeling the Cardiovascular System — A Mathematical Adventure : Part I (2001) (7)
Nitsche"s method for parabolic Partial Differential Equations with mixed time varying boundary conditions (2016) (7)
Hydrodynamic stress in orbitally shaken bioreactors (2011) (7)
Numerical validation of isotropic and transversely isotropic constitutive models for healthy and unhealthy cerebral arterial tissues (2013) (7)
A mathematical dashboard for the analysis of Italian COVID‐19 epidemic data (2020) (7)
Multiscale coupling of finite element and lattice Boltzmann methods for time dependent problems (2012) (7)
Biomembrane modeling with isogeometric analysis (2019) (7)
Modeling isovolumetric phases in cardiac flows by an Augmented Resistive Immersed Implicit Surface Method (2022) (7)
Active strain and activation models in cardiac electromechanics (2011) (6)
Mixed approximations of evolution problems (1980) (6)
Reduced basis method for the Stokes equations in decomposable domains using greedy optimization (2014) (6)
Application of the Rosenbrock methods to the solution of unsteady 3D incompressible Navier-Stokes equations (2019) (6)
Domain decomposition techniques using spectral methods (1987) (6)
Dimensionality reduction of parameter-dependent problems through proper orthogonal decomposition (2016) (6)
Modelling the COVID-19 epidemic and the vaccination campaign in Italy by the SUIHTER model (2021) (6)
Large Eddy simulations for blood fluid-dynamics in real stenotic carotids (2016) (6)
Data integration for the numerical simulation of cardiac electrophysiology (2021) (6)
Iterative splitting schemes for a soft material poromechanics model (2020) (6)
Isogeometric numerical dispersion analysis for elastic wave propagation (2014) (6)
A Time-Parallel Framework for Coupling Finite Element and Lattice Boltzmann Methods (2016) (6)
Development of a computational fluid dynamics model of the left atrium in atrial fibrillation on a patient specific basis (2017) (6)
Shear Stress Alterations in the Celiac Trunk of Patients with Continuous-Flow Left Ventricular Assist Device by In-Silico and In-Vitro Flow Analysis (2016) (6)
Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics (2022) (5)
A new algorithm for high-dimensional uncertainty quantification problems based on dimension-adaptive and reduced basis methods (2014) (5)
A numerical investigation of Schwarz domain decomposition techniques for elliptic problems on unstructured grids (1997) (5)
A matrix discrete empirical interpolation method for the e ffi cient model reduction of parametrized nonlinear PDEs : application to nonlinear elasticity problems ⇤ (2016) (5)
INTERNODES for Heterogeneous Couplings (2017) (5)
A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations (2019) (5)
An Interface-Strip Domain Decomposition Preconditioner (2006) (5)
A Reduced Basis Ensemble Kalman Filter for State/parameter Identification in Large-scale Nonlinear Dynamical Systems (2016) (5)
ADVANCES ON NUMERICAL MODELLING OF BLOOD FLOW PROBLEMS (2001) (5)
Parallel conjugate gradient with Schwarz preconditioner applied to fluid dynamics problems (1996) (5)
The Interface Control Domain Decomposition (ICDD) method for the Stokes problem (2013) (5)
An algebraic least squares reduced basis method for the solution of parametrized Stokes equations (2017) (5)
Three-dimensional physics-based earthquake ground motion simulations for seismic risk assessment in densely populated urban areas (2020) (5)
APPROXIMATION OF SYMMETRY BREAKING BIFURCATIONS FOR THE RAYLEIGH CONVECTION PROBLEM (1983) (4)
Comment on “The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures,” by D. Komatitsch and J.-P. Vilotte (1999) (4)
Simulation of the Hemodynamic Effects of the Left Atrial Appendage Occlusion in Atrial Fibrillation: Preliminary Results (2020) (4)
Interface Control Domain Decomposition (ICDD) Methods for Coupled Diffusion and Advection-Diffusion Problems (2013) (4)
Reduced Basis Method for Parametrized Differential Algebraic Equations (2009) (4)
Some Algorithms for Unsteady Navier—Stokes Equations (1988) (4)
Mathematicals Models in Science and Engineering (2009) (4)
Principles of Numerical Mathematics (2006) (4)
A matrix-free high-order solver for the numerical solution of cardiac electrophysiology (2022) (4)
Approximation of functions and data (2006) (4)
Multi space reduced basis preconditioners for parametrized Stokes equations (2019) (4)
Aspects of Arterial Wall Simulations: Nonlinear Anisotropic Material Models and Fluid Structure Interaction (2014) (4)
Multilevel Schwarz methods for elliptic partial differential equations (2011) (4)
Nonlinear Systems and Numerical Optimization (2006) (4)
A chebyshev spectral method for gas transients in pipelines (1985) (4)
Metal artefact reduction in computed tomography images by a fourth-order total variation flow (2016) (4)
Rootfinding for Nonlinear Equations (2006) (4)
Hemodynamics in a left atrium based on a Variational Multiscale-LES numerical model (2017) (4)
Patient-specific haemodynamics of coronary artery bypass grafts: clinical imaging and reduced order models (2013) (4)
NON-CONFORMING SPECTRAL APPROXIMATIONS FOR THE ELASTIC WAVE EQUATION IN HETEROGENEOUS MEDIA (2011) (4)
A Computational Study of the Electrophysiological Substrate in Patients Suffering From Atrial Fibrillation (2021) (4)
On the Simulation of Unsteady Flow of an Oldroyd-B Fluid by Spectral Methods (2002) (4)
A Multiscale Poromechanics Model Integrating Myocardial Perfusion and the Epicardial Coronary Vessels (2022) (4)
Isogeometric Analysis of a Phase Field Model for Darcy Flows with Discontinuous Data (2018) (3)
To the memory of Giovanni Sacchi Landriani (1990) (3)
Domain decomposition methods (2014) (3)
Interface control domain decomposition (ICDD) methods for the Stokes problem (2013) (3)
Numerical Modelling of the Brain Poromechanics by High-Order Discontinuous Galerkin Methods (2022) (3)
On the physical consistency of the coupling between three-dimensional compliant and one-dimensional problems in haemodynamics (2011) (3)
Engineering Principles and Cell Culture Performance of Orbitally Shaken Cylindrical Bioreactors (2012) (3)
Coupling Biot and Navier-Stokes problems for fluid-poroelastic structure interaction (2008) (3)
Prediction of myocardial blood flow under stress conditions by means of a computational model (2022) (3)
A 3D finite element model for free-surface flows (2009) (3)
Electro-Mechanical Coupling in Human Atrial Cardiomyocytes: Model Development and Analysis of Inotropic Interventions (2021) (3)
Mathematics in the Wind (2008) (3)
590Development of a patient-specific computational fluid dynamics model of the LA in AF for stroke risk assessment (2017) (3)
Foundations of Matrix Analysis (2006) (3)
Theory of Stability and Convergence for Spectral Methods (1988) (3)
An oscillation-free fully partitioned scheme for the numerical modeling of cardiac active mechanics (2020) (3)
Efficient Numerical Schemes for Computing Cardiac Electrical Activation over Realistic Purkinje Networks: Method and Verification (2015) (3)
Reduced basis method for the Stokes equations in decomposable parametrized domains using greedy optimization (2014) (3)
Mortar Coupling for Heterogeneous Partial Differential Equations (2013) (3)
Reduced basis approximation for parametrized partial differential equations (2014) (3)
Numerical modeling of hemodynamics scenarios of patient-specific coronary artery bypass grafts (2017) (3)
Efficient approximation of cardiac mechanics through reduced order modeling with deep learning-based operator approximation (2022) (3)
Domain Decomposition Survey 143 Methods for Partial Diierential Equationsddm Preconditioner for 4th Order Problems by Using B- Spline Nite Element Method', in Fourth Int. Symp. on Domain Decomposition Methods for Partial Diierential Equationsiterative Substructuring Methods: Algorithms and Theory fo (1994) (3)
8 Reduced-order modeling for applications to the cardiovascular system (2020) (3)
A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction (2022) (3)
Approximation of Eigenvalues and Eigenvectors (2006) (3)
Proofs from THE BOOK (2006) (3)
Fundamentals of Spectral Methods for PDEs (1988) (2)
Spectral Element Discretization of Optimal Control Problems (2011) (2)
A multiscale CFD model of blood flow in the human left heart coupled with a lumped-parameter model of the cardiovascular system (2021) (2)
Global Approximation Results (1988) (2)
Diffusion-transport-reaction equations (2014) (2)
Computational electrophysiology of the coronary sinus branches based on electro-anatomical mapping for the prediction of the latest activated region (2022) (2)
An open tool based on lifex for myofibers generation in cardiac computational models (2022) (2)
Numerical Models and Simulations in Sailing Yacht Design (2009) (2)
2. Domain Decomposition Methods for Wave Propagation Problems (1995) (2)
Numerical simulation for yacht design (2004) (2)
Universal Solution Manifold Networks (USM-Nets): non-intrusive mesh-free surrogate models for problems in variable domains (2022) (2)
Quasi-3D Finite Element Shallow-water Flows with k-eps turbulence model (2004) (2)
Modelling and Numerical Simulation for Yacht Engineering (2007) (2)
Trends in Biomedical Engineering: Focus on Patient Specific Modeling and Life Support Systems (2011) (2)
A physics-informed multi-fidelity approach for the estimation of differential equations parameters in low-data or large-noise regimes (2021) (2)
Blending Finite Elements and Finite Volumes for the Solution of Miscible Incompressible Flow (1994) (2)
INTERNODES for Elliptic Problems (2017) (2)
An Image-Based Computational Fluid Dynamics Study of Mitral Regurgitation in Presence of Prolapse. (2023) (2)
Domain decomposition and virtual control for fourth order problems (2)
Reduced basis method for parametrized optimal control problems (2012) (2)
Mathematical Aspects of Domain Decomposition Methods (1994) (2)
Numerical performance of discontinuous and stabilized continuous Galerkin methods for convection–diffusion problems (2011) (2)
Error estimates for the assumed stresses hybrid methods in the approximation of 4th order elliptic equations (1979) (2)
Mathematical and numerical models for the cardiac electromechanical function (2021) (2)
Optimal control in heterogeneous domain decomposition methods (2005) (2)
Interface Control Domain Decomposition (ICDD) Methods for Heterogeneous Problems (2014) (2)
Fluid-structure interaction analysis of transcatheter aortic valve implantation. (2023) (2)
hN-adaptive spectral element discretization of optimal control problems for environmental applications (2011) (2)
Patient-specific generation of the Purkinje network driven by clinical measurement: the case of pathological propagations (2014) (2)
Nonlinear hyperbolic problems (2014) (2)
Proceedings of the conference on Spectral and high order methods for partial differential equations (1990) (1)
A brief survey of partial differential equations (2014) (1)
A patient-specific aortic valve model based on moving resistive immersed implicit surfaces (2017) (1)
The Swiss-Carpet Domain Decomposition Preconditioner (2004) (1)
Orthogonal Polynomials in Approximation Theory (2006) (1)
Modelling blood flow (2019) (1)
What can’t be ignored (2004) (1)
Construction of RB Spaces by SVD-POD (2016) (1)
Erratum to: Numerical Models for Differential Problems (2018) (1)
Comparison Between Reduced Basis and Stochastic Collocation Methods for Elliptic Problems (2013) (1)
MOX-Report No . 13 / 2019 A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations (2019) (1)
Some evaluations of the fractional $ p $-Laplace operator on radial functions (2021) (1)
lifex-fiber: an open tool for myofibers generation in cardiac computational models (2023) (1)
Electrogram fractionation during sinus rhythm occurs in normal voltage atrial tissue in patients with atrial fibrillation (2021) (1)
Optimal Control of Partial Differential Equations (2021) (1)
Reduced basis (element) methods for the study of parametrized cardiovascular geometries and networks (2010) (1)
Data Analysis and Predictive Mathematical Modeling for COVID-19 Epidemic Studies (2020) (1)
Computational analysis of turbulent hemodynamics in radiocephalic arteriovenous fistulas to determine the best anastomotic angles. (2020) (1)
Mathematical Modelling and Visualisation of Complex Three-dimensional Flows (2002) (1)
Algorithms for the solution of linear systems (2014) (1)
Numerical methods for boundary-value problems (2004) (1)
Numerical solution of vascular flows by heterogeneous domain decomposition methods (2001) (1)
Multiscale and Adaptivity: Modeling, Numerics and Applications C.I.M.E. Summer School, Cetraro, Italy 2009Editors Giovanni Naldi, Giovanni ... Mathematics / C.I.M.E. Foundation Subseries) (2012) (1)
Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces (2022) (1)
Introduction to Scientific Computing B. Lucquin and O. Pironneau John Wiley and Sons, chichester (1999) (1)
Modeling the cardiac electromechanical function: A mathematical journey (2022) (1)
Efficient Solution of Fluid‐Structure Interaction Problems in Computational Hemodynamics (2010) (1)
Numerical methods for (initial-)boundary-value problems (2006) (1)
RB Methods: Basic Principles, Basic Properties (2016) (1)
Morphomechanical Model of the Torsional C-Looping in the Embryonic Heart (2020) (1)
The Mathematics of Mechanobiology (2020) (1)
Uncertainty quantification of human arterial network (2012) (1)
Approximation Theory and Analysis of Spectral Methods (1985) (1)
FLUID-STRUCTURE INTERACTION BETWEEN BLOOD AND ARTERIAL WALLS (2010) (1)
Solutions des exercices (2020) (1)
PDE-Aware Deep Learning for Inverse Problems in Cardiac Electrophysiology (2021) (1)
Iterative Methods for Solving Linear Systems (2006) (1)
An electromechanics-driven fluid dynamics model for the simulation of the whole human heart (2023) (1)
PLOS Comput. Biol. "Biophysically detailed mathematical models of multiscale cardiac active mechanics": datasets (2020) (1)
Mathematical and Numerical Description of the Heart Function (2018) (1)
Domain decomposition methods in science and engineering : the sixth International Conference on Domain Decomposition, June 15-19, 1992, Como, Italy (1994) (1)
Mathematical Models of the Cardiovascular System (2002) (1)
Improving seismic risk protection through mathematical modeling (2015) (1)
MATHICSE Technical Report : Multi space reduced basis preconditioners for parametrized Stokes equations (2018) (1)
Modeling Whole Heart Muscle Fibers in Cardiac Computational Models (2022) (1)
A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations (2022) (1)
Numerical differentiation and integration (2010) (1)
A comprehensive mathematical model for cardiac perfusion (2023) (1)
Comparison of reduced basis method and stochastic collocation method for parametric and stochastic elliptic problems (2012) (1)
Segmentation and Grid Generation for Numerical Simulations of VAD Connections with Patientspecific Data (2011) (0)
Let the paintings play (2022) (0)
Uncertainty Quantication in Human Arterial System (2013) (0)
The circulatory system: form cases study to mathematical modelling (2006) (0)
Parabolic and Hyperbolic Initial Boundary Value Problems (2006) (0)
RB Methods in Action: Computing the Solution (2016) (0)
Reduced Order Models for Fluid-Structure Interaction Problems in Haemodynamics (2013) (0)
Mathematical modeling of normal pressure hydrocephalus (2010) (0)
The VAD Connection : Connecting Ventricular Assist Devices to the Aorta in Silico (2014) (0)
Algorithms for a New World (2022) (0)
Isogeometric analysis and proper orthogonal decomposition for parabolic problems (2016) (0)
Preface to the third volume of Model Order Reduction (2020) (0)
Method and apparatus for predicting fluid flow through a subject conduit (2018) (0)
1. Methods to Numerically Solve Wave Equations (2012) (0)
MATHKNOW : mathematics, applied sciences and real life (2009) (0)
Quadratic Control Problems Governed by Linear Evolution PDEs (2021) (0)
Mathematics in the Air with Solar Impulse (2009) (0)
Optimized numerical solutions of SIRDVW multiage model controlling SARS-CoV-2 vaccine roll out: an application to the Italian scenario (preprint) (2022) (0)
Physics-informed Neural Networks for parameter estimation in cardiac mechanics (2022) (0)
Getting Started (2020) (0)
Advanced Selected Applications (2021) (0)
WEIGHTED REDUCED BASIS METHOD FOR STOCHASTIC OPTIMAL CONTROL PROBLEMS WITH PDE CONSTRAINTS (2013) (0)
A Novel Human Atrial Electromechanical Cardiomyocyte Model with Mechano-Calcium Feedback Effect (2022) (0)
Computational Fluid Dynamics at CRS4 (1996) (0)
Reckoning with the Computer (2020) (0)
Adaptive Numerical Methods for Transport Dominated Processes (1994) (0)
A reduced basis hybrid method for viscous flows in parametrized complex networks (2010) (0)
\ Saturated-unsaturated porous media ∞ow and its coupling with surface water" (2010) (0)
DOCTORAL PROGRAM IN MATHEMATICAL MODELS AND METHODS IN ENGINEERING (2012) (0)
updateand strategy for the virtual physiological human: 2012 (2013) (0)
Take-Home Message (2020) (0)
Numerical Methods, Domain Decomposition (2020) (0)
Isogeometric Analysis of a Phase Field Model for Darcy Flows with Discontinuous Data (2018) (0)
RB Methods in Action: Setting up the Problem (2016) (0)
Predators and Preys in the Maths Ocean (2020) (0)
M for Models (2017) (0)
[A mathematical model of the human heart]. (2020) (0)
Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to $\alpha$-Synuclein Spreading in Parkinson's Disease (2023) (0)
Numerical Approximation of Linear-Quadratic OCPs (2021) (0)
Taking Mathematics to Heart Alfio Quarteroni (2017) (0)
Accounting for uncertainty (2019) (0)
Computational study of the risk of restenosis in coronary bypasses (2016) (0)
Numerical Approximation of Quadratic OCPs Governed by Linear Evolution PDEs (2021) (0)
Introduction: Representative Examples, Mathematical Structure (2021) (0)
Numerical Fluid-Structure Interaction Model for the Connection of Outflow Cannula of LVAD to the Aorta (2011) (0)
Elements of finite element programming (2014) (0)
The Theoretical Rationale Behind (2016) (0)
The research of Alberto Valli (2015) (0)
Construction of RB Spaces by the Greedy Algorithm (2016) (0)
Solution Techniques for Implicit Spectral Equations (1988) (0)
Simple Incompressible Flows (1988) (0)
A Primer on Mathematical Modelling (2020) (0)
The INTERNODES Method for Non-conforming Discretizations of PDEs (2019) (0)
This is a repository copy of Model Order Reduction in Fluid Dynamics : Challenges and Perspectives (2013) (0)
MATHEMATICAL MODELING FOR MEDICINE, SPORTS, AND THE ENVIRONMENT (2008) (0)
A mathematical model of the human heart suitable to address clinical problems (2023) (0)
Electromechanical modeling of cardiac arrhythmias (2022) (0)
Mechanical characterization and numerical assessment of cerebral arterial tissues. (2013) (0)
Preface to the first volume of Model Order Reduction (2021) (0)
Computational Models for Hemodynamics (2020) (0)
Generation of 1D and 2D grids (2014) (0)
Domain decomposed spectral methods for wave propagation (1996) (0)
Coupling Navier-Stokes and Darcy equations: an overlapping approach (2014) (0)
Lifex-cfd: an Open-source Computational Fluid Dynamics Solver for Cardiovascular Applications (2023) (0)
Iterative solutions of multimodels for incompressible flows (2000) (0)
FINITE ELEMENT SIMULATION OF ELECTRON OPTICAL SYSTEMS (1992) (0)
Model order reduction by reduced basis methods and free-form deformations for shape optimization (2011) (0)
Fast and robust parameter estimation with uncertainty quantification for the cardiac function (2022) (0)
When Mathematics Goes to Sea (in the America's Cup) (2006) (0)
Coupled computational modeling of cardiac electrophysiology, mechanics and fluid dynamics (2022) (0)
Matlab in 1h30 (2010) (0)
Chemomechanical Mathematical Modeling of Isolated Cardiomyocyte. (2013) (0)
Iteration by Subdomains in Numerical Fluid Dynamics (1989) (0)
ROBUST DESIGN OF BYPASS ANASTOMOSES UNDER UNCERTAINTY (2012) (0)
A Virtual Surfer for the Web (2020) (0)
Elements of functional analysis (2014) (0)
A steepest descent algorithm for control problems with switches. Application to the optimization of peritoneal dialysis (2006) (0)
Characterization of cardiac electrogram signals in atrial arrhythmias. (2021) (0)
Taking Mathematics to Heart (2018) (0)
Numerical Modeling and Large – Scale Simulation of the Cardiac Electromechanics (2017) (0)
Discontinuous element methods (DG and mortar) (2014) (0)
MATHICSE Technical Report : Efficient state/Parameter estimation in nonlinear unsteady PDEs by reduced basis ensemble Kalman filter (2019) (0)
The Galerkin finite element method for elliptic problems (2014) (0)
Prelude on Optimization: The Finite Dimensional Case (2021) (0)
Navier-Stokes equations (2014) (0)
Modeling the effect of COVID-19 disease on the cardiac function: a computational study (2020) (0)
Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity (2012) (0)
Finite elements and spectral methods for hyperbolic equations (2014) (0)
Steady, Smooth Problems (1988) (0)
An integrated multiscale CFD model of the human heart (2022) (0)
Institutional report - Congenital Assisted Fontan procedure: animal and in vitro models and computational fluid dynamics study , (2010) (0)
Extension to Nonaffine Problems (2016) (0)
Active contraction of cardiac cells: a reduced model for sarcomere dynamics with cooperative interactions (2018) (0)
Analysis of morphological and hemodynamical indexes in abdominal aortic aneurysms as preliminary indicators of intraluminal thrombus deposition (2019) (0)
Erratum Spectral Methods Fundamentals in Single Domains (2019) (0)
Patient-specific computational generation of the Purkinje fibers network driven by clinical measuraments (2013) (0)
1 Model order reduction: basic concepts and notation (2021) (0)
A brief survey on partial differential equations (2009) (0)
Solving Conservation Law and Balance Equations by Particle Management (2010) (0)
A Computational Comparison Between Isogeometric Analysis and Spectral Element Methods: Accuracy and Spectral Properties (2020) (0)
Transient, Smooth Problems (1988) (0)
Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations (2015) (0)
A Mathematical Framework for Nonlinear OCPs (2021) (0)
Neural networks based real-time simulations of cardiac electromechanics (2022) (0)
Modeling the fluid dynamics of the heart: from blood flows in idealized left ventricles to patient-specific aortic valve simulations (2015) (0)
ON THE BOUNDARYTREATMENTIN SPECTRALMETHODS FOR HYPERBOLICSYSTEMS (2008) (0)
Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem (2015) (0)
Fluid-structure interaction simulations of cerebral arteries modeled by isotropic and anisotropic constitutive laws (2015) (0)
An Offline-Online Riemann Solver for One-Dimensional Systems of Conservation Laws (2016) (0)
Solving Chaotic Differential Equations using an Adaptive Algorithm (2004) (0)
Defective boundary conditions in hemodynamics: formulations and applications (2015) (0)
Fluids Interface Control Domain Decomposition ( ICDD ) Methods for Coupled Diffusion and Advection-Diffusion Problems (2013) (0)
Patient-specific generation of the Purkinje network driven by clinical measurements of a normal propagation (2014) (0)
Integrated heart modelling - coupling cell, muscle and organ-level phenomena (2013) (0)
Ordinary differential equations (2004) (0)
A Network of Capillaries (2020) (0)
Modeling Reality with Mathematics (2022) (0)
Loughborough University Institutional Repository Numerical approximation of internal discontinuity interface problems (0)
Workshop on Mathematical and Numerical Modeling of the Cardiovascular System and Applications (2017) (0)
Reduction and Control (2016) (0)
Mathematics and food: a tasty binomium (2009) (0)
The Title Should be in Mixed Case, Without Acronyms (2020) (0)
Orthogonale Polynome in der Approximationstheorie (2002) (0)
Iteration-by-subdomain algorithms for systems of hyperbolic equations (2020) (0)
Fluid flows in compliant vessels (2001) (0)
Finite differences for hyperbolic equations (2014) (0)
Latent Dynamics Networks (LDNets): learning the intrinsic dynamics of spatio-temporal processes (2023) (0)
Quadratic Control Problems Governed by Linear Elliptic PDEs (2021) (0)
Artificial intelligence techniques may innovate patient selection for thoracic endovascular aortic repair. (2022) (0)
Extension to Nonlinear Problems (2016) (0)
MOX – Report No . 15 / 2010 DOMAIN DECOMPOSITION ( DD ) METHODS (2010) (0)
Prelude on Control: The Case of Algebraic and ODE Systems (2021) (0)
Representative Problems: Analysis and (High-Fidelity) Approximation (2016) (0)
RF95 VENOUS VS ARTERIAL COMPOSITE Y-GRAFT IN CABG: A COMPUTATIONAL FLUID-STRUCTURE STUDY (2018) (0)
Journal of Scientific Computing: Preface (2010) (0)
Multiscale models for perfusion, microcirculation and drug release (2013) (0)
Solutions to Exercises (2020) (0)
A quasi 3-D finite element shallow water flow with k-e turbolence model (2004) (0)
3D Finite Element solver for Shallow-water free-surface Flows with k-ε turbulence model (2003) (0)
A reduced order model for domain decompositions with non-conforming interfaces (2022) (0)
MOX – Report No . 10 / 2007 Modelling and Numerical Simulation for Yacht Engineering (2007) (0)
Variational Multiscale LES modeling of blood flow in an idealized left human heart (2018) (0)
Nonlinear Block Iterative Solution of Semiconductor Device equations by a Domain Decomposition Method (1994) (0)
An Eulerian finite element method for the heart modelling (2013) (0)
The finite volume method (2014) (0)
ERC Advanced Grant Research Proposal Mathematical Modelling and Simulation of the Cardiovascular System MATHCARD (2008) (0)
WEAK SOLUTIONS AND NUMERICAL APPROXIMATION OF A COUPLED SYSTEM MODELING CARDIAC ELECTROMECHANICS (2013) (0)
A fast virtual surgery platform for many scenarios haemodynamics of patient-specific coronary artery bypass grafts (2016) (0)
Helical flows and asymmetry of blood jet in dilated ascending aorta with normally functioning bicuspid valve (2012) (0)
Reduced-order modeling of blood flow for noninvasive functional evaluation of coronary artery disease (2019) (0)
Active Force Generation in Cardiac Muscle Cells: Mathematical Modeling and Numerical Simulation of the Actin-Myosin Interaction (2020) (0)
Book Review: Iterative Krylow Methods for Large Linear Systems. By H. van der Vorst. (2004) (0)
On some numerical aspects of an active strain model in cardiac mechanics (2011) (0)
Shape Optimization Problems (2021) (0)
Algorithms for Numerical Optimization (2021) (0)
Numerical approximation of boundary-value problems (2010) (0)
Direct Methods for the Solution of Linear Systems (2006) (0)
Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to α-Synuclein Spreading in Parkinson's Disease (2023) (0)
Multiscale and Adaptivity: Modeling, Numerics and Applications-Preamble (2017) (0)
Coupled models for integrated heart simulations: a numerical study of the fluid dynamics in the left ventricle (2015) (0)
MOX-Report No . 19 / 2015 A coupled 3 D-1 D numerical monodomain solver for cardiac electrical activation in the myocardium with detailed Purkinje network (2015) (0)
Model Order Reduction for Shape Optimization of Cardiovascular Geometries (2010) (0)
Reduced Basis Method for Parametrized DifferentialAlgebraic Equations (2009) (0)
Computational Reduction for Parametrized PDEs: Strategies and Applications (2012) (0)
A Warm-Up to Models (2020) (0)
Modelling blood flows in the heart: extended Nitsche's method for the treatment of the valves as generalized boundary conditions (2015) (0)
Perytoneal dialysis system (2007) (0)
On the Algebraic and Geometric Structure of RB Methods (2016) (0)
The aXurge project. Feasibility of a mathematical platform for Abdominal Aortic Aneurism (AAA) sizing, risk assessment and surgical planning (2018) (0)
High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation (2015) (0)
MATHICSE Technical Report : INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutations of PDEs on subdomains featuring non-conforming interfaces (2015) (0)
An Offline-Online Riemann Solver for One-Dimensional Systems of Conservation Laws (2016) (0)
An intergrid transfer operator using radial basis functions with application to cardiac electromechanics (2020) (0)
Best graded abstracts (2019) (0)
ON THE BOUNDARYTREATMENTIN SPECTRALMETHODS FOR HYPERBOLICSYSTEMS (2008) (0)
3282Evaluation of blood flow patterns for personalized stroke risk assessment in atrial fibrillation (2018) (0)
Editorial: Special Issues on Biomedical and Bioengineering Computing (2004) (0)

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What Schools Are Affiliated With Alfio Quarteroni?

Alfio Quarteroni is affiliated with the following schools:

What Are Alfio Quarteroni's Academic Contributions?

Alfio Quarteroni is most known for their academic work in the field of mathematics. They are also known for their academic work in the fields of

Alfio Quarteroni has made the following academic contributions:

Numerical Mathematics

Image Attributions

Image Source for Alfio Quarteroni