TY - JOUR
T1 - The L<sup>2</sup>-Norm Error Estimate of Nonconforming Finite Element Method for the 2nd Order Elliptic Problem with the Lowest Regularity
AU - Wang , Lie-Heng
JO - Journal of Computational Mathematics
VL - 3
SP - 277
EP - 282
PY - 2000
DA - 2000/06
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9041.html
KW - $L^2$-norm error estimate, nonconforming f.e.m., lowest regularity.
AB - <p style="text-align: justify;">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 $u∈H^1(Ω)$ only. It is also shown that the $L^2$-norm error bound we obtained is one order higher than the energe-norm error bound. &nbsp;</p>