Volume 18, Issue 3
The L2-Norm Error Estimate of Nonconforming Finite Element Method for the 2nd Order Elliptic Problem with the Lowest Regularity
DOI:

J. Comp. Math., 18 (2000), pp. 277-282

Published online: 2000-06

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• Abstract

The abstract L^2-norm error estimate of nonconforming finite element method is established. The uniformly L^2-norm error estimate is obtained for the nonconforming finite element method for the second order elliptic problem with the lowest regularity, i.e., in the case that the solution u \in H^1(\Omega) only. It is also shown that the L^2-norm error bound we obtained is one order heigher than the energe-norm error bound.

• Keywords

L^2-norm error estimate nonconforming f.e.m. lowest regularity