TY - JOUR
T1 - Non-Conforming Domain Decomposition with Hybrid Method
AU - Liang , Guo-Ping
AU - Liang , Ping
JO - Journal of Computational Mathematics
VL - 4
SP - 363
EP - 370
PY - 1990
DA - 1990/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9448.html
KW - 
AB - <p style="text-align: justify;">We present a non-conforming domain decomposition technique for solving elliptic problems with the finite element method. Functions in the finite element space associated with this method may be discontinuous on the boundary of subdomains. The sizes of the finite meshes, the kinds of elements and the kinds of interpolation functions may be different in different subdomains. So, this method is more convenient and more efficient than the conforming domain decomposition method. We prove that the solution obtained by this method has the same convergence rate as by the conforming method, and both the condition number and the order of the capacitance matrix are much lower than those in the conforming case.</p>