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- Leopoldo P. Franca

Engineering and Technology

Brazil

2022

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

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

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

- 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.

- 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)

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.

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

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

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.

- 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)

- 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.

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

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