TY - JOUR
T1 - On an Essential Estimate in the Analysis of Domain Decomposition Methods
AU - Gu , Jin-Sheng
AU - Hu , Xian-Cheng
JO - Journal of Computational Mathematics
VL - 2
SP - 132
EP - 137
PY - 1994
DA - 1994/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9282.html
KW - 
AB - <p style="text-align: justify;">A class of nonconforming finite elements is considered in this paper, which is continuous only at the nodes of the quasi-uniform mesh. We show that there exists an essential estimate which indicates the equivalence relation, independent of the mesh parameter, between the energies of the nonconforming discrete harmonic extensions in different subdomains. The essential estimate is of great importance in the analysis of the nonoverlapping domain decomposition methods applied to second order partial differential equations discretized by nonconforming finite elements.</p>