@Article{JCM-19-187, author = {Luo , Ping and Liang , Guo-Ping}, title = {Global Superconvergences of the Domain Decomposition Methods with Nonmatching Grids}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {2}, pages = {187--194}, abstract = {

In this paper, the global superconvergences of the domain decomposition methods with Lagrangian multiplier and nonmatching grids are proven for solving the second order elliptic boundary value problems. Moreover, $L^\infty$ and $L^2$ error estimates are discussed and a defect correction scheme is presented.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8971.html} }