A space-time formulation for multiscale phenomena

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

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: 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

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 new strategy for finite element computations involving moving boundaries and interfaces—The deforming-spatial-domain/space-time procedure: I. The concept and the preliminary numerical tests

Tayfun E. Tezduyar, Marek Behr, J. Liou · Computer Methods in Applied Mechanics and Engineering · 1992 · 832 citations

Computing, Computational Engineering, Mechanical Engineering +11