On a Parallel Implementation of the Mortar Element Method

Abdoulaev, 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 -