Revisiting stabilized finite element methods for the advective–diffusive equation

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

Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods

Thomas J.R. Hughes · Computer Methods in Applied Mechanics and Engineering · 1995 · 1.8K citations · Full text

Natural Sciences, Physics, Computational Physics +13

The variational multiscale method—a paradigm for computational mechanics

Thomas J.R. Hughes, Gonzalo R. Feijóo, Luca Mazzei et al. · Computer Methods in Applied Mechanics and Engineering · 1998 · 1.6K citations · Full text

Natural Sciences, Physics, Computational Mechanics +14

The finite element method with Lagrangian multipliers

Ivo Babuška · Numerische Mathematik · 1973 · 1.6K citations

Computing, Computational Engineering, Mechanical Engineering +12

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