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
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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.
@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},
publisher = {mathdoc},
volume = {248},
year = {1998},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a1/ %G ru %F ZNSL_1998_248_a1
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/