Year: 2013
Journal of Computational Mathematics, Vol. 31 (2013), Iss. 5 : pp. 532–548
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1307-m4290
Journal of Computational Mathematics, Vol. 31 (2013), Iss. 5 : pp. 532–548
Published online: 2013-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Mortar Adaptive finite element method Local multilevel method Additive Schwarz method.