Optimal-Order Convergence of a Two-Step BDF Method for the Navier–Stokes Equations with $$H^1$$ Initial Data

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 Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes

Jie Shen · SIAM Journal on Numerical Analysis · 1992 · 321 citations

Engineering, Computational Engineering, Mechanical Engineering +13

On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes

Jie Shen · Mathematics of Computation · 1996 · 267 citations · Full text

Natural Sciences, Computational Engineering, Mechanical Engineering +16

Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations

Yinnian He, Weiwei Sun · SIAM Journal on Numerical Analysis · 2007 · 183 citations · Full text

Natural Sciences, Mechanical Engineering, Physics +17