@Article{JCM-16-1, author = {Jinsheng, Gu and Xiancheng, Hu}, 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/1998-JCM-9142}, url = {https://global-sci.com/article/85672/some-estimates-with-nonconforming-elements-in-domain-decomposition-analysis} }