TY - JOUR
T1 - Some Estimates with Nonconforming Elements in Domain Decomposition Analysis
AU - Gu , Jinsheng
AU - Hu , Xiancheng
JO - Journal of Computational Mathematics
VL - 1
SP - 63
EP - 80
PY - 1998
DA - 1998/02
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9142.html
KW - Nonconforming finite element, extension theorem, domain decomposition, elliptic problem.
AB - <p style="text-align: justify;">Some essential estimates, especially the so-called extension theorems, are established in this paper, for the nonconforming finite elements with their continuity at the vertices or the edge midpoints of the elements of the quasi-uniform mesh. As in the conforming discrete cases, these estimates play key roles in the theoretical analysis of the nonoverlap domain decomposition methods for the solving of second order self-adjoint elliptic problems discretized by the nonconforming finite element methods.</p>