Volume 18, Issue 2
Maximum Norm Error Estimates of Crouzeix-Raviart Nonconforming Finite Element Approximation of Navier-Stokes Problem

Qing Ping Deng ,  Xue Jun Xu and Shu Min Shen

J. Comp. Math., 18 (2000), pp. 141-156

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  • Abstract

This paper deals with Crouzeix-Raviart nonconforming finite element approximation of Navier-Stokes equation in a plane bounded domain,by using the so-called velocity-pressure mixed formulation. The quasi-optimal maximum norm error estimates of the velocity and its first derivatives and of the pressure are derived for nonconforming C-R scheme of stationary Navier-Stokes problem. The analysis is based on the weighted inf-sup condition and the technique of weighted Sobolev norm. By the way, the optimal L^2-error estimate for nonconforming finite element approximation is obtained.

  • History

Published online: 2000-04

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