Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 17-48
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A. Yu. Yeremin; L. Yu. Kolotilina; A. A. Nikishin. Factorized sparse approximate inverse preconditionings III. Iterative construction of preconditioners.. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 17-48. http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a1/
@article{ZNSL_1998_248_a1,
author = {A. Yu. Yeremin and L. Yu. Kolotilina and A. A. Nikishin},
title = {Factorized sparse approximate inverse {preconditionings~III.} {Iterative} construction of preconditioners.},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {17--48},
year = {1998},
volume = {248},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a1/}
}
TY - JOUR
AU - A. Yu. Yeremin
AU - L. Yu. Kolotilina
AU - A. A. Nikishin
TI - Factorized sparse approximate inverse preconditionings III. Iterative construction of preconditioners.
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1998
SP - 17
EP - 48
VL - 248
UR - http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a1/
LA - ru
ID - ZNSL_1998_248_a1
ER -
%0 Journal Article
%A A. Yu. Yeremin
%A L. Yu. Kolotilina
%A A. A. Nikishin
%T Factorized sparse approximate inverse preconditionings III. Iterative construction of preconditioners.
%J Zapiski Nauchnykh Seminarov POMI
%D 1998
%P 17-48
%V 248
%U http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a1/
%G ru
%F ZNSL_1998_248_a1
This paper presents new results of the theoretical study of factorized sparse approximate inverse (FSAI)preconditioners. In particular, the effect of the a posteriori Jacobi scaling and the possibility of constructing such preconditioners iteratively are analyzed. A simple stopping criterion for the termination of local iterations for constructing approximate FSAI preconditioners using the PCG method is proposed. The results of numirical experimernts with 3D finite-element problems from linear elasticity are presented.
