Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements

Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

A. Brooks, Thomas J.R. Hughes · Computer Methods in Applied Mechanics and Engineering · 1982 · 5.3K citations

Engineering, Computational Engineering, Aerodynamics +15

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

Computing, Computational Engineering, Mechanical Engineering +14

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

Engineering, Computational Engineering, Mechanical Engineering +12

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 · 455 citations

Engineering, Mathematics, Mechanical Engineering +14

Numerical methods for the navier-stokes equations. Applications to the simulation of compressible and incompressible viscous flows

Marie-Odile Bristeau, Roland Glowinski, Jacques Périaux · Computer Physics Reports · 1987 · 246 citations

Natural Sciences, Mathematics, Physics +16