H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 85 Citations 37,493 364 World Ranking 48 National Ranking 1
Engineering and Technology H-index 87 Citations 28,377 397 World Ranking 73 National Ranking 1

Research.com Recognitions

Awards & Achievements

2014 - Member of Academia Europaea

2010 - Member of the European Academy of Sciences

2009 - SIAM Fellow For contributions to the numerical solution of partial differential equations and applications.

2004 - Fellow of the International Association for Computational Mechanics (IACM)

Lisbon Academy of Sciences (Academia das Ciências de Lisboa)

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Numerical analysis
  • Statistics

Mathematical analysis, Finite element method, Applied mathematics, Numerical analysis and Domain decomposition methods are his primary areas of study. His Mathematical analysis research is multidisciplinary, incorporating elements of Fluid dynamics, Navier–Stokes equations, Galerkin method and Iterative method. His work in Finite element method tackles topics such as Nonlinear system which are related to areas like Structure.

The various areas that Alfio Quarteroni examines in his Applied mathematics study include Linearization, Geometry, Spectral method, Mathematical optimization and Discretization. The study incorporates disciplines such as Multigrid method, Stability, Calculus and Computation in addition to Numerical analysis. His research in Domain decomposition methods focuses on subjects like Decomposition method, which are connected to Preconditioner.

His most cited work include:

  • Spectral Methods in Fluid Dynamics. (3092 citations)
  • Numerical Approximation of Partial Differential Equations (1914 citations)
  • Spectral Methods: Fundamentals in Single Domains (1248 citations)

What are the main themes of his work throughout his whole career to date?

The scientist’s investigation covers issues in Mathematical analysis, Finite element method, Applied mathematics, Discretization and Partial differential equation. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Navier–Stokes equations and Domain decomposition methods. His biological study spans a wide range of topics, including Coupling and Domain.

His research in Finite element method intersects with topics in Mechanics and Preconditioner. His Applied mathematics study which covers Basis that intersects with Projection and Greedy algorithm. His work carried out in the field of Partial differential equation brings together such families of science as Isogeometric analysis and Galerkin method.

He most often published in these fields:

  • Mathematical analysis (36.43%)
  • Finite element method (36.28%)
  • Applied mathematics (34.76%)

What were the highlights of his more recent work (between 2016-2021)?

  • Applied mathematics (34.76%)
  • Finite element method (36.28%)
  • Discretization (25.15%)

In recent papers he was focusing on the following fields of study:

His primary areas of investigation include Applied mathematics, Finite element method, Discretization, Internal medicine and Cardiology. His Applied mathematics study incorporates themes from Basis, Projection, Partial differential equation, Interpolation and Degree of a polynomial. Alfio Quarteroni usually deals with Partial differential equation and limits it to topics linked to Isogeometric analysis and Basis function, Galerkin method and Mathematical analysis.

He works on Mathematical analysis which deals in particular with Finite difference. His Finite element method research incorporates themes from Electromechanics, Mechanics, Numerical analysis and Preconditioner. His Discretization study frequently involves adjacent topics like Model order reduction.

Between 2016 and 2021, his most popular works were:

  • Numerical Models for Differential Problems (210 citations)
  • Integrated Heart—Coupling multiscale and multiphysics models for the simulation of the cardiac function (106 citations)
  • Integrated Heart—Coupling multiscale and multiphysics models for the simulation of the cardiac function (106 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Statistics
  • Algebra

Alfio Quarteroni mainly investigates Applied mathematics, Finite element method, Discretization, Mechanics and Ode. His Applied mathematics research integrates issues from Basis function, Ordinary differential equation and Discontinuous Galerkin method. He interconnects Ventricular contraction and Aortic valve in the investigation of issues within Finite element method.

The Discretization study combines topics in areas such as Stability, Model order reduction, Preconditioner, Isogeometric analysis and Newton's method. His Isogeometric analysis research is multidisciplinary, relying on both Navier–Stokes equations, Boundary value problem and Galerkin method. His work carried out in the field of Mechanics brings together such families of science as Torsion, Element and Cardiac mechanics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Numerical Approximation of Partial Differential Equations

Alfio M. Quarteroni;Alberto Valli.
(2008)

3648 Citations

Spectral Methods: Fundamentals in Single Domains

Claudio Canuto;M.Y. Hussaini;A. Quarteroni;T.A. Zang.
(2010)

2615 Citations

Domain Decomposition Methods for Partial Differential Equations

Alfio Quarteroni;Alberto Valli.
(1999)

2233 Citations

Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics

Claudio Canuto;M. Y. Hussaini;A. Quarteroni;T. A. Zang.
(2007)

842 Citations

Cardiovascular mathematics : modeling and simulation of the circulatory system

Luca Formaggia;Alfio Quarteroni;Alessandro Veneziani.
(2009)

752 Citations

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

Luca Formaggia;Jean Frédéric Gerbeau;Fabio Nobile;Alfio Quarteroni;Alfio Quarteroni.
Computer Methods in Applied Mechanics and Engineering (2001)

697 Citations

Numerical Models for Differential Problems

Alfio Quarteroni.
(2009)

627 Citations

Computational vascular fluid dynamics: problems, models and methods

Alfio Quarteroni;Massimiliano Tuveri;Alessandro Veneziani.
Computing and Visualization in Science (2000)

619 Citations

Approximation results for orthogonal polynomials in Sobolev spaces

C. Canuto;A. Quarteroni.
Mathematics of Computation (1982)

566 Citations

Reduced Basis Methods for Partial Differential Equations: An Introduction

Alfio Maria Quarteroni;Andrea Manzoni;Federico Negri.
(2015)

517 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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