On a~modification of algebraic multilevel iteration method for finite element matrices
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 10 (2007) no. 1, pp. 61-76
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Today, multigrids and multilevel methods for solving a sparse linear system of equations are well known.
They are both robust and efficient. In [6], the algebraic multilevel iteration (AMLI) method for finite element
matrices has been proposed. However, this method has two restrictions on the properties of the original
matrix, which can fail in practice. To avoid them and to improve the quality of the AMLI-preconditioner, a family of relaxation parameters is suggested and analyzed.
@article{SJVM_2007_10_1_a3,
author = {M. R. Larin},
title = {On a~modification of algebraic multilevel iteration method for finite element matrices},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {61--76},
publisher = {mathdoc},
volume = {10},
number = {1},
year = {2007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SJVM_2007_10_1_a3/}
}
TY - JOUR AU - M. R. Larin TI - On a~modification of algebraic multilevel iteration method for finite element matrices JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2007 SP - 61 EP - 76 VL - 10 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2007_10_1_a3/ LA - en ID - SJVM_2007_10_1_a3 ER -
M. R. Larin. On a~modification of algebraic multilevel iteration method for finite element matrices. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 10 (2007) no. 1, pp. 61-76. http://geodesic.mathdoc.fr/item/SJVM_2007_10_1_a3/