H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 38 Citations 7,694 178 World Ranking 1152 National Ranking 35

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Partial differential equation
  • Geometry

His main research concerns Basis, Mathematical analysis, Partial differential equation, Galerkin method and Mathematical optimization. His Basis research integrates issues from Parametrization and Interpolation. His study on Numerical analysis is often connected to A priori and a posteriori as part of broader study in Mathematical analysis.

His research in Partial differential equation tackles topics such as Numerical stability which are related to areas like Constrained optimization and Upper and lower bounds. Gianluigi Rozza has included themes like Mechanics, Finite volume method and Incompressible flow in his Galerkin method study. His Mathematical optimization research includes themes of Shape optimization, Fluid–structure interaction, Model order reduction and Applied mathematics.

His most cited work include:

  • Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations (816 citations)
  • Certified Reduced Basis Methods for Parametrized Partial Differential Equations (331 citations)
  • A Successive Constraint Linear Optimization Method for Lower Bounds of Parametric Coercivity and Inf-Sup Stability Constants (215 citations)

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

Gianluigi Rozza mainly investigates Basis, Applied mathematics, Mathematical analysis, Mathematical optimization and Partial differential equation. The study incorporates disciplines such as Basis function, Discretization and Affine transformation in addition to Basis. His research integrates issues of Galerkin method, Nonlinear system, Reduction, Model order reduction and Interpolation in his study of Applied mathematics.

Gianluigi Rozza has researched Mathematical analysis in several fields, including Navier–Stokes equations, Compressibility, Reduced order and Fluid–structure interaction. His work in Mathematical optimization addresses subjects such as Shape optimization, which are connected to disciplines such as Free-form deformation. His biological study spans a wide range of topics, including Numerical analysis and Reduction.

He most often published in these fields:

  • Basis (42.66%)
  • Applied mathematics (38.46%)
  • Mathematical analysis (22.03%)

What were the highlights of his more recent work (between 2019-2021)?

  • Applied mathematics (38.46%)
  • Basis (42.66%)
  • Partial differential equation (19.93%)

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

The scientist’s investigation covers issues in Applied mathematics, Basis, Partial differential equation, Algorithm and Galerkin method. His Applied mathematics research integrates issues from Navier–Stokes equations, Finite volume method, Reduction and Nonlinear system. The Navier–Stokes equations study combines topics in areas such as Discretization and Mathematical analysis.

Gianluigi Rozza combines topics linked to Parameterized complexity with his work on Basis. Gianluigi Rozza has researched Partial differential equation in several fields, including Numerical analysis, Model order reduction and Optimal control. His studies deal with areas such as Projection, Saddle point and Turbulence, Turbulence modeling, Reynolds number as well as Galerkin method.

Between 2019 and 2021, his most popular works were:

  • Data-Driven POD-Galerkin Reduced Order Model for Turbulent Flows (38 citations)
  • Model Order Reduction : Volume 3 Applications (27 citations)
  • POD–Galerkin reduced order methods for combined Navier–Stokes transport equations based on a hybrid FV-FE solver (16 citations)

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

  • Mathematical analysis
  • Geometry
  • Partial differential equation

Gianluigi Rozza mainly focuses on Applied mathematics, Interpolation, Projection, Galerkin method and Navier–Stokes equations. His Applied mathematics research includes themes of Computational fluid dynamics, Partial differential equation, Scalar and Reduction. The various areas that Gianluigi Rozza examines in his Interpolation study include Algorithm, Reduction and Dynamic mode decomposition.

He undertakes multidisciplinary studies into Projection and Boundary in his work. His research in Galerkin method intersects with topics in Saddle point, Turbulence, Turbulence modeling, Solver and Finite volume method. His studies in Navier–Stokes equations integrate themes in fields like Basis and Mathematical analysis.

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.

Best Publications

Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations

Gianluigi Rozza;D.B.P. Huynh;Anthony T. Patera.
Archives of Computational Methods in Engineering (2007)

1081 Citations

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Jan S. Hesthaven;Gianluigi Rozza;Benjamin Stamm.
(2015)

635 Citations

A Successive Constraint Linear Optimization Method for Lower Bounds of Parametric Coercivity and Inf-Sup Stability Constants

D.B.P. Huynh;G. Rozza;S. Sen;A.T. Patera.
Comptes Rendus Mathematique (2007)

310 Citations

Certified reduced basis approximation for parametrized partial differential equations and applications

Alfio Quarteroni;Alfio Quarteroni;Gianluigi Rozza;Andrea Manzoni.
Journal of Mathematics in Industry (2011)

280 Citations

On the stability of the reduced basis method for Stokes equations in parametrized domains

Gianluigi Rozza;Karen Veroy.
Computer Methods in Applied Mechanics and Engineering (2007)

280 Citations

Reduced Order Methods for Modeling and Computational Reduction

Alfio Quarteroni;Gianluigi Rozza.
(2013)

201 Citations

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

Francesco Ballarin;Andrea Manzoni;Alfio Maria Quarteroni;Alfio Maria Quarteroni;Gianluigi Rozza.
International Journal for Numerical Methods in Engineering (2015)

178 Citations

Model Order Reduction in Fluid Dynamics: Challenges and Perspectives

Toni Mikael Lassila;Andrea Manzoni;Alfio Quarteroni;Gianluigi Rozza.
Workshop on Reduced Basis, POD and Reduced Order Methods for Model and Computational Reduction: towards Real-time Computing and Visualization", u"Workshop on Reduced Basis, POD and Reduced Order Methods for Model and Computational Reduction: towards Real-time Computing and Visualization (2014)

176 Citations

Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation

Ngoc Cuong Nguyen;Gianluigi Rozza;Anthony T. Patera.
Calcolo (2009)

151 Citations

Parametric free-form shape design with PDE models and reduced basis method

Toni Mikael Lassila;Toni Mikael Lassila;Gianluigi Rozza.
Computer Methods in Applied Mechanics and Engineering (2010)

146 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing Gianluigi Rozza

Yvon Maday

Yvon Maday

Université Paris Cité

Publications: 50

Alfio Quarteroni

Alfio Quarteroni

Politecnico di Milano

Publications: 41

Anthony T. Patera

Anthony T. Patera

MIT

Publications: 40

Peter Benner

Peter Benner

Max Planck Institute for Dynamics of Complex Technical Systems

Publications: 38

Jan S. Hesthaven

Jan S. Hesthaven

École Polytechnique Fédérale de Lausanne

Publications: 29

Mario Ohlberger

Mario Ohlberger

University of Münster

Publications: 28

Francisco Chinesta

Francisco Chinesta

ESI (France)

Publications: 26

Karen Willcox

Karen Willcox

The University of Texas at Austin

Publications: 23

Stéphane Bordas

Stéphane Bordas

University of Luxembourg

Publications: 19

Alison L. Marsden

Alison L. Marsden

Stanford University

Publications: 19

I. M. Navon

I. M. Navon

Florida State University

Publications: 17

Elías Cueto

Elías Cueto

University of Zaragoza

Publications: 17

Antonio Huerta

Antonio Huerta

Universitat Politècnica de Catalunya

Publications: 15

J. Nathan Kutz

J. Nathan Kutz

University of Washington

Publications: 15

Christoph Schwab

Christoph Schwab

ETH Zurich

Publications: 14

Charbel Farhat

Charbel Farhat

Stanford University

Publications: 13

Something went wrong. Please try again later.