Finite element formulation for convective–diffusive problems with sharp gradients using finite calculus

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

Numerical Analysis, Streamline Upwind/petrov-galerkin Formulations, Unsteady Flow +13

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

Numerical Analysis, Engineering, Physics +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

Numerical Analysis, Finite Element Method, Engineering +11

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

Numerical Analysis, Finite Element Method, Engineering +11

Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures

Jim Douglas, Thomas F. Russell · SIAM Journal on Numerical Analysis · 1982 · 1.1K citations

Numerical Analysis, Engineering, Computational Mechanics +17