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Volume 31, Issue 5
A Local Multilevel Preconditioners for the Adaptive Mortar Finite Element Method

Feng Wang & Jinru Chen

DOI: 10.4208/jcm.1307-m4290

J. Comp. Math., 31 (2013), pp. 532-548.

Published online: 2013-10

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  • 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.

  • Keywords

Mortar, Adaptive finite element method, Local multilevel method, Additive Schwarz method.

  • AMS Subject Headings

65N30, 65N55, 65F10.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-31-532, author = {Feng Wang and Jinru Chen}, title = {A Local Multilevel Preconditioners for the Adaptive Mortar Finite Element Method}, journal = {Journal of Computational Mathematics}, year = {2013}, volume = {31}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1307-m4290}, url = {http://global-sci.org/intro/article_detail/jcm/9752.html} }
TY - JOUR T1 - A Local Multilevel Preconditioners for the Adaptive Mortar Finite Element Method AU - Feng Wang & Jinru Chen 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 -

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.

Feng Wang and Jinru Chen. (2013). A Local Multilevel Preconditioners for the Adaptive Mortar Finite Element Method. Journal of Computational Mathematics. 31 (5). 532-548. doi:10.4208/jcm.1307-m4290
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