TY - JOUR
T1 - Global Superconvergences of the Domain Decomposition Methods with Nonmatching Grids
AU - Luo , Ping
AU - Liang , Guo-Ping
JO - Journal of Computational Mathematics
VL - 2
SP - 187
EP - 194
PY - 2001
DA - 2001/04
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8971.html
KW - Domain decomposition, Defect correction, Global superconvergence, Non-matching grids.
AB - <p style="text-align: justify;">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.</p>