Leopoldo P. Franca

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 · 1.4K citations

Numerical Analysis, Finite Element Method, Engineering +11

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

Thomas J.R. Hughes, Leopoldo P. Franca, Marc Balestra · Computer Methods in Applied Mechanics and Engineering · 1986 · 1.4K citations

Numerical Analysis, Finite Element Method, Engineering +11

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

Leopoldo P. Franca, Sérgio Frey · Computer Methods in Applied Mechanics and Engineering · 1992 · 749 citations

Numerical Analysis, Finite Element Method, Engineering +7

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

Leopoldo P. Franca, Sérgio Frey, Thomas J.R. Hughes · Computer Methods in Applied Mechanics and Engineering · 1992 · 645 citations

Numerical Analysis, Finite Element Method, Engineering +8

A new finite element formulation for computational fluid dynamics: VII. 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 · Computer Methods in Applied Mechanics and Engineering · 1987 · 451 citations

Numerical Analysis, Finite Element Method, Engineering +10