Stabilized low order finite elements for Stokes equations with damping

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 numerical solution of the Navier-Stokes equations using the finite element technique

Cedric Taylor, Phil Hood · Computers & Fluids · 1973 · 1.4K citations

Computing, Mathematics, Physics +11

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

Existence of a Solution of the Wave Equation with Nonlinear Damping and Source Terms

Vladimir Georgiev, Grozdena Todorova · Journal of Differential Equations · 1994 · 583 citations

Natural Sciences, Mathematics, Physics +15

On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems

Didier Bresch, Benoı̂t Desjardins, Chi-Kun Lin · Communications in Partial Differential Equations · 2003 · 509 citations

Engineering, Mechanical Engineering, Physics +16