D-Index & Metrics Best Publications

Leopoldo P. Franca

IBM (Brazil)
Brazil

Engineering and Technology

Brazil

2022

D-Index & Metrics 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.

Discipline name Citations Publications World Ranking National Ranking

Engineering and Technology D-index 40 Citations 14,021 82 World Ranking 3487 National Ranking 10

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 Leopoldo P. Franca is best known for:

Finite element method
Navier–Stokes equations
Incompressible flow

His study explores the link between Orthodontics and topics such as Calculus (dental) that cross with problems in Dentistry. Dentistry and Calculus (dental) are commonly linked in his work. His work blends Finite element method and Extended finite element method studies together. Much of his study explores Applied mathematics relationship to Error analysis. Error analysis is closely attributed to Applied mathematics in his study. His research on Mathematical analysis often connects related topics like Euler's formula. He undertakes interdisciplinary study in the fields of Thermodynamics and Classical mechanics through his works. He connects Classical mechanics with Thermodynamics in his research. Leopoldo P. Franca integrates Galerkin method with Petrov–Galerkin method in his research.

His most cited work include:

A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective-diffusive equations (1256 citations)
A new finite element formulation for computational fluid dynamics: V. Circumventing the babuška-brezzi condition: a stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations (1254 citations)
Stabilized finite element methods: II. The incompressible Navier-Stokes equations (647 citations)

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

His Mechanics study frequently intersects with other fields, such as Compressibility and Bubble. Leopoldo P. Franca combines Compressibility and Thermodynamics in his research. Thermodynamics is closely attributed to Petrov–Galerkin method in his work. His Mechanics research extends to the thematically linked field of Bubble. He undertakes multidisciplinary studies into Finite element method and Extended finite element method in his work. Borrowing concepts from Piecewise, he weaves in ideas under Mathematical analysis. His work often combines Piecewise and Mathematical analysis studies. He performs multidisciplinary study in the fields of Galerkin method and Discontinuous Galerkin method via his papers. In his papers, he integrates diverse fields, such as Discontinuous Galerkin method and Galerkin method.

Leopoldo P. Franca most often published in these fields:

Finite element method (85.71%)
Applied mathematics (77.55%)
Mathematical analysis (77.55%)

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)

1983 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)

1831 Citations

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

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

1083 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)

919 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)

573 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)

540 Citations

Stabilized Finite Element Methods

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

490 Citations

The Discontinuous Enrichment Method

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

486 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)

475 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)

422 Citations

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