Optimal convergence analysis of Crank–Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics

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. Part IV: Error Analysis for Second-Order Time Discretization

John G. Heywood, Rolf Rannacher · SIAM Journal on Numerical Analysis · 1990 · 961 citations

Computing, Computational Engineering, Mechanical Engineering +17

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

On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics

Max Gunzburger, A. J. Meir, Janet Peterson · Mathematics of Computation · 1991 · 318 citations · Full text

Computing, Mathematics, Physics +12

Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations

Yinnian He · SIAM Journal on Numerical Analysis · 2003 · 238 citations

Computing, Computational Engineering, Mechanical Engineering +13