A stable Petrov-Galerkin method for convection-dominated problems

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

A new finite element formulation for computational fluid dynamics: II. Beyond SUPG

Thomas J.R. Hughes, Michel Mallet, Akira Mizukami · Computer Methods in Applied Mechanics and Engineering · 1986 · 1.1K citations

Computing, Computational Engineering, Mechanical Engineering +14

Finite element methods for linear hyperbolic problems

Claes Johnson, Uno Nävert, Juhani Pitkäranta · Computer Methods in Applied Mechanics and Engineering · 1984 · 689 citations

Computing, Computational Engineering, Physics +9

Finite element methods for second order differential equations with significant first derivatives

I. Christie, David F. Griffiths, A. R. Mitchell et al. · International Journal for Numerical Methods in Engineering · 1976 · 553 citations

Computing, Computational Engineering, Computational Physics +12