Geodesic
Parallel iterative methods with factorized preconditioning matrices for elliptic equations on unstructed triangular grid
Matematičeskoe modelirovanie, Tome 15 (2003) no. 10, pp. 3-16

Voir la notice de l'article provenant de la source Math-Net.Ru

Parallel versions of two iterative methods are proposed for solving discretized elliptic equations on unstructed triangular grid on distributed-memory parallel computers. The conjugate gradient methods with incomplete factorization type preconditioning and modified incomplete factorization type preconditioning are considered. The construction of the parallel versions of the methods is based on the special orderings of nodes of a grid. The rate of convergence and efficientcy of proposed methods are investigated both teoretically and by means of calculations of model problem. 
@article{MM_2003_15_10_a0,
     author = {O. Yu. Milyukova and I. V. Popov},
     title = {Parallel iterative methods with factorized preconditioning matrices for elliptic equations on unstructed triangular grid},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--16},
     publisher = {mathdoc},
     volume = {15},
     number = {10},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_10_a0/}
}
TY  - JOUR
AU  - O. Yu. Milyukova
AU  - I. V. Popov
TI  - Parallel iterative methods with factorized preconditioning matrices for elliptic equations on unstructed triangular grid
JO  - Matematičeskoe modelirovanie
PY  - 2003
SP  - 3
EP  - 16
VL  - 15
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2003_15_10_a0/
LA  - ru
ID  - MM_2003_15_10_a0
ER  - 
%0 Journal Article
%A O. Yu. Milyukova
%A I. V. Popov
%T Parallel iterative methods with factorized preconditioning matrices for elliptic equations on unstructed triangular grid
%J Matematičeskoe modelirovanie
%D 2003
%P 3-16
%V 15
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2003_15_10_a0/
%G ru
%F MM_2003_15_10_a0
O. Yu. Milyukova; I. V. Popov. Parallel iterative methods with factorized preconditioning matrices for elliptic equations on unstructed triangular grid. Matematičeskoe modelirovanie, Tome 15 (2003) no. 10, pp. 3-16. http://geodesic.mathdoc.fr/item/MM_2003_15_10_a0/