Algebraic multilevel preconditioner for second order finite element approximation in rectangular domains. I. Two level preconditioner
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2003), pp. 3-13
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The present paper, consisting of two parts, is devoted to constructing an algebraic multigrid preconditioner for stiffness matrices arising in second-order finite element approximation of elliptic boundary value problems. In the first part a two-level preconditioner, on the base of which the multigrid preconditioner will be constructed, is described.
Keywords:
Multilevel preconditioner, stiffness matrices.
@article{UZERU_2003_1_a0,
author = {Yu. R. Hakopian and H. A. Hovhannisyan},
title = {Algebraic multilevel preconditioner for second order finite element approximation in rectangular domains. {I.} {Two} level preconditioner},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {3--13},
publisher = {mathdoc},
number = {1},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZERU_2003_1_a0/}
}
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%0 Journal Article %A Yu. R. Hakopian %A H. A. Hovhannisyan %T Algebraic multilevel preconditioner for second order finite element approximation in rectangular domains. I. Two level preconditioner %J Proceedings of the Yerevan State University. Physical and mathematical sciences %D 2003 %P 3-13 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZERU_2003_1_a0/ %G ru %F UZERU_2003_1_a0
Yu. R. Hakopian; H. A. Hovhannisyan. Algebraic multilevel preconditioner for second order finite element approximation in rectangular domains. I. Two level preconditioner. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2003), pp. 3-13. http://geodesic.mathdoc.fr/item/UZERU_2003_1_a0/