@Article{JCM-16-63, author = {Gu , Jinsheng and Hu , Xiancheng}, title = {Some Estimates with Nonconforming Elements in Domain Decomposition Analysis}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {1}, pages = {63--80}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9142.html} }