TY - JOUR
T1 - On the Optimal Convergence Rate of a Robin-Robin Domain Decomposition Method
AU - Wenbin Chen, Xuejun Xu & Shangyou Zhang
JO - Journal of Computational Mathematics
VL - 4
SP - 456
EP - 475
PY - 2014
DA - 2014/08
SN - 32
DO - http://doi.org/10.4208/jcm.1403-m4391
UR - https://global-sci.org/intro/article_detail/jcm/9897.html
KW - Finite element, Robin-Robin domain decomposition, Convergence rate.
AB - <p style="text-align: justify;">In this work, we solve a long-standing open problem: Is it true that the convergence rate of the Lions&#39; Robin-Robin nonoverlapping domain decomposition (DD) method can be constant, independent of the mesh size $h?$ We closed this old problem with a positive answer. Our theory is also verified by numerical tests.</p>