TY - JOUR
T1 - A Local Multilevel Preconditioners for the Adaptive Mortar Finite Element Method
JO - Journal of Computational Mathematics
VL - 5
SP - 532
EP - 548
PY - 2013
DA - 2013/10
SN - 31
DO - http://doi.org/10.4208/jcm.1307-m4290
UR - https://global-sci.org/intro/article_detail/jcm/9752.html
KW - Mortar, Adaptive finite element method, Local multilevel method, Additive
Schwarz method.
AB - <p style="text-align: justify;">In this paper, we propose a local multilevel preconditioner for the mortar finite element approximations of the elliptic problems. With some mesh assumptions on the interface, we prove that the condition number of the preconditioned systems is independent of the large jump of the coefficients but depends on the mesh levels around the cross points. Some numerical experiments are presented to confirm our theoretical results.</p>