# On a Parallel Implementation of the Mortar Element Method

Gassav S. Abdoulaev; Yves Achdou; Yuri A. Kuznetsov; Christophe Prud'homme

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 33, Issue: 2, page 245-259
- ISSN: 0764-583X

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topAbdoulaev, Gassav S., et al. "On a Parallel Implementation of the Mortar Element Method." ESAIM: Mathematical Modelling and Numerical Analysis 33.2 (2010): 245-259. <http://eudml.org/doc/197467>.

@article{Abdoulaev2010,

abstract = {
We discuss a parallel implementation of the domain
decomposition method based on the macro-hybrid formulation
of a second order elliptic
equation and on an approximation by the mortar element method.
The discretization leads to an algebraic saddle- point problem.
An iterative method with a block- diagonal
preconditioner is used for solving the saddle- point problem.
A parallel implementation of the method is emphasized.
Finally the results of numerical experiments are presented.
},

author = {Abdoulaev, Gassav S., Achdou, Yves, Kuznetsov, Yuri A., Prud'homme, Christophe},

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

keywords = {Domain decomposition; mortar finite element method;
saddle-point problem; preconditioned
iterative method; parallel computing.; elliptic equations; domain decomposition; Poisson-type equation; mortar finite element method; numerical tests; Lanczos algorithm; preconditioner; multigrid procedure; parallel implementation},

language = {eng},

month = {3},

number = {2},

pages = {245-259},

publisher = {EDP Sciences},

title = {On a Parallel Implementation of the Mortar Element Method},

url = {http://eudml.org/doc/197467},

volume = {33},

year = {2010},

}

TY - JOUR

AU - Abdoulaev, Gassav S.

AU - Achdou, Yves

AU - Kuznetsov, Yuri A.

AU - Prud'homme, Christophe

TI - On a Parallel Implementation of the Mortar Element Method

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 33

IS - 2

SP - 245

EP - 259

AB -
We discuss a parallel implementation of the domain
decomposition method based on the macro-hybrid formulation
of a second order elliptic
equation and on an approximation by the mortar element method.
The discretization leads to an algebraic saddle- point problem.
An iterative method with a block- diagonal
preconditioner is used for solving the saddle- point problem.
A parallel implementation of the method is emphasized.
Finally the results of numerical experiments are presented.

LA - eng

KW - Domain decomposition; mortar finite element method;
saddle-point problem; preconditioned
iterative method; parallel computing.; elliptic equations; domain decomposition; Poisson-type equation; mortar finite element method; numerical tests; Lanczos algorithm; preconditioner; multigrid procedure; parallel implementation

UR - http://eudml.org/doc/197467

ER -

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