A stabilized finite element method based on local polynomial pressure projection for the stationary Navier–Stokes equations

Navier Stokes Equations: Theory and Numerical Analysis

Roger Témam, Alexandre J. Chorin · Journal of Applied Mechanics · 1978 · 4K citations

Natural Sciences, Mathematics, Physics +17

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 Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization

John G. Heywood, Rolf Rannacher · SIAM Journal on Numerical Analysis · 1982 · 851 citations

Computing, Computational Engineering, Physics +15

Stabilization of Low-order Mixed Finite Elements for the Stokes Equations

Pavel Bochev, Clark R. Dohrmann, Max Gunzburger · SIAM Journal on Numerical Analysis · 2006 · 448 citations

Computing, Computational Engineering, Mathematics +13