Using a~compensation principle in the algebraic multilevel iteration method for finite element matrices
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 2, pp. 127-142
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In the present paper, an improved version of the algebraic multilevel iteration (AMLI) method for finite element matrices, which was offered in [6], is proposed. To improve the quality of the AMLI-preconditioner, or (which is the same) to speed up the rate of convergence, a family of iterative parameters defined on an error compensation principle is proposed and analyzed. The performance results on standard test problems are presented and discussed.
@article{SJVM_2005_8_2_a3,
author = {M. R. Larin},
title = {Using a~compensation principle in the algebraic multilevel iteration method for finite element matrices},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {127--142},
publisher = {mathdoc},
volume = {8},
number = {2},
year = {2005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SJVM_2005_8_2_a3/}
}
TY - JOUR AU - M. R. Larin TI - Using a~compensation principle in the algebraic multilevel iteration method for finite element matrices JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2005 SP - 127 EP - 142 VL - 8 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2005_8_2_a3/ LA - en ID - SJVM_2005_8_2_a3 ER -
%0 Journal Article %A M. R. Larin %T Using a~compensation principle in the algebraic multilevel iteration method for finite element matrices %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2005 %P 127-142 %V 8 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2005_8_2_a3/ %G en %F SJVM_2005_8_2_a3
M. R. Larin. Using a~compensation principle in the algebraic multilevel iteration method for finite element matrices. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 2, pp. 127-142. http://geodesic.mathdoc.fr/item/SJVM_2005_8_2_a3/