Name
Title | ||
|---|---|---|
Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations. |
Abstract | ||
|---|---|---|
This paper provides an error analysis for the Crank-Nicolson extrapolation scheme of time discretization applied to the spatially discrete stabilized finite element approximation of the two-dimensional time-dependent Navier- Stokes problem, where the finite element space pair (X-h, M-h) for the approximation (u(h)(n), p(h)(n)) of the velocity u and the pressure p is constructed by the low-order finite element: the Q(1) - P-0 quadrilateral element or the P-1 - P-0 triangle element with mesh size h. Error estimates of the numerical solution (u(h)(n), p(h)(n)) to the exact solution (u(t(n)), p(t(n))) with t(n) epsilon(0, T) are derived. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1090/S0025-5718-06-01886-2 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Navier-Stokes problem,stabilized finite element,Crank-Nicolson extrapolation scheme | Discretization,Runge–Kutta methods,Mathematical analysis,Finite element method,Extrapolation,Quadrilateral,Numerical analysis,Crank–Nicolson method,Mathematics,Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
76 | 257 | 0025-5718 |
Citations | PageRank | References |
17 | 1.21 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yinnian He | 1 | 454 | 60.20 |
| Weiwei Sun | 2 | 154 | 15.12 |