# A multilevel preconditioner for the mortar method for nonconforming P1 finite element

ESAIM: Mathematical Modelling and Numerical Analysis (2009)

- Volume: 43, Issue: 3, page 429-444
- ISSN: 0764-583X

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topRahman, Talal, and Xu, Xuejun. "A multilevel preconditioner for the mortar method for nonconforming P1 finite element." ESAIM: Mathematical Modelling and Numerical Analysis 43.3 (2009): 429-444. <http://eudml.org/doc/250637>.

@article{Rahman2009,

abstract = {
A multilevel preconditioner based on the abstract framework of the
auxiliary space method, is developed for the mortar method for the
nonconforming P1 finite element or the lowest order
Crouzeix-Raviart finite element on nonmatching grids. It is shown
that the proposed preconditioner is quasi-optimal in the sense that
the condition number of the preconditioned system is independent of
the mesh size, and depends only quadratically on the number of
refinement levels. Some numerical results confirming the theory are
also provided.
},

author = {Rahman, Talal, Xu, Xuejun},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Crouzeix-Raviart FE; mortar method; multilevel preconditioner; auxiliary space method.; nonconforming elements; Crouzeix-Raviart elements},

language = {eng},

month = {2},

number = {3},

pages = {429-444},

publisher = {EDP Sciences},

title = {A multilevel preconditioner for the mortar method for nonconforming P1 finite element},

url = {http://eudml.org/doc/250637},

volume = {43},

year = {2009},

}

TY - JOUR

AU - Rahman, Talal

AU - Xu, Xuejun

TI - A multilevel preconditioner for the mortar method for nonconforming P1 finite element

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2009/2//

PB - EDP Sciences

VL - 43

IS - 3

SP - 429

EP - 444

AB -
A multilevel preconditioner based on the abstract framework of the
auxiliary space method, is developed for the mortar method for the
nonconforming P1 finite element or the lowest order
Crouzeix-Raviart finite element on nonmatching grids. It is shown
that the proposed preconditioner is quasi-optimal in the sense that
the condition number of the preconditioned system is independent of
the mesh size, and depends only quadratically on the number of
refinement levels. Some numerical results confirming the theory are
also provided.

LA - eng

KW - Crouzeix-Raviart FE; mortar method; multilevel preconditioner; auxiliary space method.; nonconforming elements; Crouzeix-Raviart elements

UR - http://eudml.org/doc/250637

ER -

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