A relationship between stabilized finite element methods and the Galerkin method with bubble functions

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

Numerical solution of partial differential equations by the finite element method

Claes Johnson · Choice Reviews Online · 1988 · 1.8K citations

Computing, Computational Engineering, Computational Mechanics +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 stable finite element for the stokes equations

Douglas N. Arnold, Franco Brezzi, M. Fortin · CALCOLO · 1984 · 1.1K citations

Engineering, Computational Engineering, Mechanical Engineering +13

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