Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)115-136
Journal / PublicationMathematics of Computation
Issue number257
Publication statusPublished - Jan 2007


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 (Xh, Mh) for the approximation (uh n, ph n ) of the velocity u and the pressure p is constructed by the low-order finite element: the Q1 ? P0 quadrilateral element or the P 1 ? P0 triangle element with mesh size h. Error estimates of the numerical solution (uh n, ph n) to the exact solution (u(tn), p(tn)) with tn ∈ (0, T] are derived. © 2006 American Mathematical Society.

Research Area(s)

  • Crank-Nicolson extrapolation scheme, Navier-Stokes problem, Stabilized finite element