| Finite-Element Approximation of the Nonstationary Navier-Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization (0000) | |||||||
Abstract | |||||||
| RESUMEN RESUMEN This paper provides an error analysis for the CrankÂNicolson method of time discretization applied to spatially discrete Galerkin approximations of the nonstationary NavierÂStokes equations. Second-order error estimates are proven locally in time under realistic assumptions about the regularity of the solution. For approximations of an exponentially stable solution, these local error estimates are extended uniformly in time as t → ∞. | |||||||
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