D-Index & Metrics Best Publications
Leopoldo P. Franca

Leopoldo P. Franca

Engineering and Technology
Brazil
2022

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Engineering and Technology D-index 36 Citations 13,059 73 World Ranking 3249 National Ranking 8

Research.com Recognitions

Awards & Achievements

2022 - Research.com Engineering and Technology in Brazil Leader Award

2002 - Fellow of the International Association for Computational Mechanics (IACM)

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Finite element method
  • Partial differential equation

Leopoldo P. Franca mostly deals with Finite element method, Mathematical analysis, Galerkin method, Mixed finite element method and Convection–diffusion equation. His research integrates issues of Stokes flow, Computational fluid dynamics, Compressibility and Classical mechanics in his study of Finite element method. His Mathematical analysis research incorporates elements of Navier–Stokes equations and Fluid mechanics.

The various areas that Leopoldo P. Franca examines in his Galerkin method study include Applied mathematics and Discontinuous Galerkin method. The study incorporates disciplines such as Discretization and Extended finite element method in addition to Mixed finite element method. His research investigates the connection between Convection–diffusion equation and topics such as Bubble that intersect with issues in Upwind scheme, Piecewise and Equivalence.

His most cited work include:

  • A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuscka-Brezzi condition: A stable Petrov-Galerkin formulation of (1204 citations)
  • A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective-diffusive equations (1173 citations)
  • Stabilized finite element methods. II: The incompressible Navier-Stokes equations (610 citations)

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

The scientist’s investigation covers issues in Finite element method, Mathematical analysis, Galerkin method, Mixed finite element method and Applied mathematics. His biological study spans a wide range of topics, including Numerical analysis, Numerical stability and Computational fluid dynamics. His work deals with themes such as Fluid dynamics, Boundary value problem and Classical mechanics, which intersect with Computational fluid dynamics.

In his work, Euler equations, Compressible flow and Euler's formula is strongly intertwined with Navier–Stokes equations, which is a subfield of Mathematical analysis. Leopoldo P. Franca has researched Galerkin method in several fields, including Geometry, Compressibility, Residual, Bubble and Stokes flow. In Applied mathematics, Leopoldo P. Franca works on issues like Petrov–Galerkin method, which are connected to Timoshenko beam theory.

He most often published in these fields:

  • Finite element method (81.18%)
  • Mathematical analysis (67.06%)
  • Galerkin method (48.24%)

What were the highlights of his more recent work (between 2004-2011)?

  • Finite element method (81.18%)
  • Mathematical analysis (67.06%)
  • Applied mathematics (28.24%)

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

Leopoldo P. Franca focuses on Finite element method, Mathematical analysis, Applied mathematics, Galerkin method and Residual. He interconnects Discretization and Piecewise linear function in the investigation of issues within Finite element method. His research on Mathematical analysis frequently connects to adjacent areas such as Mixed finite element method.

His research integrates issues of Norm, Piecewise and Discontinuous Galerkin method in his study of Mixed finite element method. His research in Applied mathematics intersects with topics in Dirichlet problem, Mathematical optimization and Stokes problem. His work in Numerical analysis tackles topics such as Navier–Stokes equations which are related to areas like Independent equation, Stokes flow, Euler equations, Finite volume method and Spectral method.

Between 2004 and 2011, his most popular works were:

  • Multiscale and Stabilized Methods (165 citations)
  • Towards multiscale functions : enriching finite element spaces with local but not bubble-like functions (85 citations)
  • Revisiting stabilized finite element methods for the advective–diffusive equation (75 citations)

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

  • Mathematical analysis
  • Partial differential equation
  • Finite element method

His main research concerns Finite element method, Mathematical analysis, Applied mathematics, Dirichlet problem and Statistical physics. His Galerkin method study, which is part of a larger body of work in Finite element method, is frequently linked to Element, bridging the gap between disciplines. His work on Analytic function, Reaction–diffusion system and Piecewise linear function as part of general Mathematical analysis research is frequently linked to Bilinear interpolation and Type, bridging the gap between disciplines.

The Applied mathematics study combines topics in areas such as Bubble, Mathematical optimization, Residual and Boundary value problem. His Dirichlet problem study combines topics in areas such as Navier–Stokes equations, Numerical analysis, Series, Dirichlet distribution and Finite volume method. His Statistical physics study combines topics from a wide range of disciplines, such as Numerical solution of the convection–diffusion equation, Convection–diffusion equation and Perspective.

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

A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuscka-Brezzi condition: A stable Petrov-Galerkin formulation of

T J R Hughes;L P Franca;M Balestra.
Applied Mechanics and Engineering (1986)

1884 Citations

A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective-diffusive equations

Thomas J.R. Hughes;Leopoldo P. Franca;Gregory M. Hulbert.
Computer Methods in Applied Mechanics and Engineering (1989)

1655 Citations

Stabilized finite element methods. II: The incompressible Navier-Stokes equations

Leopoldo P. Franca;Sérgio L. Frey.
Applied Mechanics and Engineering (1992)

1033 Citations

Stabilized finite element methods. I: Application to the advective-diffusive model

Leopoldo P. Franca;Sérgio L. Frey;Thomas J. R. Hughes.
Applied Mechanics and Engineering (1992)

856 Citations

Stabilized Finite Element Methods

Leopoldo P. Franca;Thomas J. R. Hughes;Rolf Stenberg.
Computer Methods in Applied Mechanics and Engineering (1993)

682 Citations

A new finite formulation for computational fluid dynamics: VII. The Stokes problem with various well-posed boundary conditions: symmetric formulations that converge for all velocity/pressure spaces

T. J.R. Hughes;L. P. Franca.
Applied Mechanics and Engineering (1987)

554 Citations

A new finite element formulation for computational fluid dynamics: I. Symmetric forms of the compressible Euler and Navier—Stokes equations and the second law of thermodynamics

T J R Hughes;L P Franca;M Mallet.
Applied Mechanics and Engineering (1986)

495 Citations

The Discontinuous Enrichment Method

Charbel Farhat;Isaac Harari;Leopoldo P. Franca.
Computer Methods in Applied Mechanics and Engineering (2000)

474 Citations

A relationship between stabilized finite element methods and the Galerkin method with bubble functions

Franco Brezzi;Marie-Odile Bristeau;Leopoldo P. Franca;Michel Mallet.
Computer Methods in Applied Mechanics and Engineering (1992)

455 Citations

Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)

Claudio Baiocchi;Franco Brezzi;Leopoldo P. Franca.
Computer Methods in Applied Mechanics and Engineering (1993)

424 Citations

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

Contact us

Best Scientists Citing Leopoldo P. Franca

Tayfun E. Tezduyar

Tayfun E. Tezduyar

Rice University

Publications: 128

Thomas J. R. Hughes

Thomas J. R. Hughes

The University of Texas at Austin

Publications: 88

Ramon Codina

Ramon Codina

Universitat Politècnica de Catalunya

Publications: 68

Yuri Bazilevs

Yuri Bazilevs

Brown University

Publications: 62

Eugenio Oñate

Eugenio Oñate

Universitat Politècnica de Catalunya

Publications: 62

Wolfgang A. Wall

Wolfgang A. Wall

Technical University of Munich

Publications: 51

Victor M. Calo

Victor M. Calo

Curtin University

Publications: 40

Charbel Farhat

Charbel Farhat

Stanford University

Publications: 36

Kenneth E. Jansen

Kenneth E. Jansen

University of Colorado Boulder

Publications: 36

Isaac Harari

Isaac Harari

Tel Aviv University

Publications: 36

John N. Shadid

John N. Shadid

Sandia National Laboratories

Publications: 31

Ming-Chen Hsu

Ming-Chen Hsu

Iowa State University

Publications: 30

Kenji Takizawa

Kenji Takizawa

Waseda University

Publications: 30

Sergio Idelsohn

Sergio Idelsohn

Universitat Politècnica de Catalunya

Publications: 30

Franco Brezzi

Franco Brezzi

National Research Council (CNR)

Publications: 29

Marek Behr

Marek Behr

RWTH Aachen University

Publications: 29

Something went wrong. Please try again later.