Characteristic stabilized finite element method for the transient Navier–Stokes equations

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

Domain decomposition: Parallel multilevel methods for elliptic partial differential equations

Computers & Mathematics with Applications · 1997 · 1.9K citations

Numerical Analysis, Method Of Fundamental Solution, Domain Decomposition +8

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

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