MAXIMUM NORM ERROR ESTIMATES OF CROUZEIX-RAVIART NONCONFORMING FINITE ELEMENT APPROXIMATION OF NAVIER-STOKES PROBLEM

• 来源期刊: 计算数学（英文版）
• 关键词: Navier-Stokes problem P1 nonconforming element Maximum Norm.
• 年，卷（期）: 2000,（2）
• 页码范围: 141-156
• 页数: 16页
• 语种: 英文

摘要

This paper deals with Crouzeix-Raviart nonconforming finite element approxi mation of Navier-Stokes equation in a plane bounded domain, by using the so-called velocity-pressure mixed formulation. The quasi-optimal maximum norm error es timates 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 L2-error estimate for nonconforming finite element approximation is obtained.