Geodesic
Parallel domain decomposition algorithms for parabolic problems
Matematičeskoe modelirovanie, Tome 9 (1997) no. 5, pp. 77-86.

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

This work deals with domain decomposition difference schemes oriented to approximate solution of transient problems on parallel computers. The emphasis is on the decomposition of initial domain onto a large number of subdomains. Two classes of difference schemes are investigated: component-wise splitting schemes (operator analogs of ordinary locally-onedimensional schemes) and additively-averaged schemes, which provide more efficient use of specific peculiarities of parallel computers. The principal issue is studying accuracy of these domain decomposition schemes. Dependence of approximate solution accuracy on the method of decomposition is investigated. In particular, estimates of the convergence rate are obtained for problems with various weights and different methods of decomposition. 
@article{MM_1997_9_5_a7,
     author = {P. N. Vabishchevich},
     title = {Parallel domain decomposition algorithms for parabolic problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {77--86},
     publisher = {mathdoc},
     volume = {9},
     number = {5},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1997_9_5_a7/}
}
TY  - JOUR
AU  - P. N. Vabishchevich
TI  - Parallel domain decomposition algorithms for parabolic problems
JO  - Matematičeskoe modelirovanie
PY  - 1997
SP  - 77
EP  - 86
VL  - 9
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_1997_9_5_a7/
LA  - ru
ID  - MM_1997_9_5_a7
ER  - 
%0 Journal Article
%A P. N. Vabishchevich
%T Parallel domain decomposition algorithms for parabolic problems
%J Matematičeskoe modelirovanie
%D 1997
%P 77-86
%V 9
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_1997_9_5_a7/
%G ru
%F MM_1997_9_5_a7
P. N. Vabishchevich. Parallel domain decomposition algorithms for parabolic problems. Matematičeskoe modelirovanie, Tome 9 (1997) no. 5, pp. 77-86. http://geodesic.mathdoc.fr/item/MM_1997_9_5_a7/