A modification of the two-level algorithm with overcorrection
Applications of Mathematics, Tome 37 (1992) no. 1, pp. 13-28
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In this paper we analyse an algorithm which is a modification of the so-called two-level algorithm with overcorrection, published in [2]. We illustrate the efficiency of this algorithm by a model example.
In this paper we analyse an algorithm which is a modification of the so-called two-level algorithm with overcorrection, published in [2]. We illustrate the efficiency of this algorithm by a model example.
DOI :
10.21136/AM.1992.104488
Classification :
65F10, 65N55
Keywords: two-level algorithm; overcorrection; multigrid algorithm; convergence; efficiency
Keywords: two-level algorithm; overcorrection; multigrid algorithm; convergence; efficiency
Míka, Stanislav; Vaněk, Petr. A modification of the two-level algorithm with overcorrection. Applications of Mathematics, Tome 37 (1992) no. 1, pp. 13-28. doi: 10.21136/AM.1992.104488
@article{10_21136_AM_1992_104488,
author = {M{\'\i}ka, Stanislav and Van\v{e}k, Petr},
title = {A modification of the two-level algorithm with overcorrection},
journal = {Applications of Mathematics},
pages = {13--28},
year = {1992},
volume = {37},
number = {1},
doi = {10.21136/AM.1992.104488},
mrnumber = {1152154},
zbl = {0753.65028},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104488/}
}
TY - JOUR AU - Míka, Stanislav AU - Vaněk, Petr TI - A modification of the two-level algorithm with overcorrection JO - Applications of Mathematics PY - 1992 SP - 13 EP - 28 VL - 37 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104488/ DO - 10.21136/AM.1992.104488 LA - en ID - 10_21136_AM_1992_104488 ER -
%0 Journal Article %A Míka, Stanislav %A Vaněk, Petr %T A modification of the two-level algorithm with overcorrection %J Applications of Mathematics %D 1992 %P 13-28 %V 37 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104488/ %R 10.21136/AM.1992.104488 %G en %F 10_21136_AM_1992_104488
[1] R. Blaheta: A multilevel method with correction by aggregation for solving discrete elliptic problems. Apl. Mat. 31 (1986), 365-378. | MR
[2] R. Blaheta: Iterative methods for numerical solving of the boundary value problems of elasticity. Thesis, Ostrava, 1987.
[3] S. Míka P. Vaněk: The acceleration of a two-level algebraic algorithm by aggregation in smoothing process. Appl. Mat., to appear.
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