THE L2－NORM ERROR ESTIMATE OF NONCONFORMING FINITE ELEMENT METHOD FOR THE 2ND ORDER ELLIPTIC PROBLEM WITH THE LOWEST REGULARITY

• 来源期刊: 计算数学（英文版）
• 关键词: L2-norm error estimate nonconforming f.e.m. lowest regularity
• 年，卷（期）: 2000,（3）
• 页码范围: 277-282
• 页数: 6页
• 语种: 英文

摘要

The abstract L2-norm error estimate of nonconforming finite element method is established. The uniformly L2-norm error estimate is obtained for the noncon-forming finite element method for the second order elliptic problem with the lowest regularity, i.e., in the case that the solution u ∈ H1(Ω) only. It is also shown that the L2-norm error bound we obtained is one order heigher than the energe-norm error bound.