Leopoldo P. Franca

Research.com Recognitions

• 2023 - Research.com Engineering and Technology in Brazil Leader Award
• 2022 - Research.com Engineering and Technology in Brazil Leader Award
• 2002 - Fellow of the International Association for Computational Mechanics (IACM)

Overview

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

  2107
  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

  1972
  Citations

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

  Leopoldo P. Franca;Sérgio L. Frey

  1152
  Citations

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

  Leopoldo P. Franca;Sérgio L. Frey;Thomas J. R. Hughes

  977
  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

  615
  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

  594
  Citations

• The Discontinuous Enrichment Method

  Charbel Farhat;Isaac Harari;Leopoldo P. Franca

  501
  Citations

• Stabilized Finite Element Methods

  Leopoldo P. Franca;Thomas J. R. Hughes;Rolf Stenberg

  495
  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

  485
  Citations

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

  Claudio Baiocchi;Franco Brezzi;Leopoldo P. Franca

  432
  Citations

• Two classes of mixed finite element methods

  Leopoldo P. Franca;Thomas J. R. Hughes

  411
  Citations

• Error analysis of some Galerkin least squares methods for the elasticity equations

  Leopoldo P. Franca;Rolf Stenberg

  410
  Citations

• Multiscale and Stabilized Methods

  Thomas J. R. Hughes;Guglielmo Scovazzi;Leopoldo P. Franca

  351
  Citations

• A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time-dependent multi-dimensional advective-diffusive systems

  T. J. R. Hughes;L. P. Franca;M. Mallet

  313
  Citations

• Bubble Functions Prompt Unusual Stabilized Finite Element Methods

  Leopoldo P. Franca;Charbel Farhat

  302
  Citations

• $b=\int g$

  F Brezzi;L Franca;T Hughes;A Russo

  285
  Citations

• On an Improved Unusual Stabilized Finite Element Method for theAdvective-Reactive-Diffusive Equation

  L. P. Franca;F. Valentin

  262
  Citations

• Residual-Free Bubbles for the Helmholtz Equation

  Leopoldo P. Franca;Charbel Farhat;Antonini P. Macedo;Michel Lesoinne

  224
  Citations

• Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations

  Leopoldo P. Franca;Thomas J.R. Hughes

  211
  Citations

• Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows

  Marek A. Behr;Leopoldo P. Franca;Tayfun E. Tezduyar

  203
  Citations

• The Stokes problem with various well-posed boundary conditions - Symmetric formulations that converge for all velocity/pressure spaces

  Thomas J. R. Hughes;Leopoldo P. Franca

  32
  Citations