Geodesic
A parallel AMG for overlapping and non-overlapping domain decomposition
Electronic transactions on numerical analysis, Tome 10 (2000), pp. 41-55
There exist several approaches for the parallel solving of huge systems of linear equations resulting from the finite element (f.e.) discretization of 2nd order elliptic pdes. On the other hand, there exists a great demand for Algebraic Multigrid solvers (AMG) which have as input only matrix and right hand side or, as a substitute, the appropriate information per element. In this paper we propose a general parallel AMG algorithm using overlapping or non-overlapping data decompositions.
Classification : 65F10, 65N22, 65Y05
Keywords: algebraic multigrid, parallel algorithms, domain decomposition, iterative solvers 
@article{ETNA_2000__10__a4,
     author = {Haase,  Gundolf},
     title = {A parallel {AMG} for overlapping and non-overlapping domain decomposition},
     journal = {Electronic transactions on numerical analysis},
     pages = {41--55},
     year = {2000},
     volume = {10},
     zbl = {0949.65132},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2000__10__a4/}
}
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JO  - Electronic transactions on numerical analysis
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EP  - 55
VL  - 10
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%0 Journal Article
%A Haase,  Gundolf
%T A parallel AMG for overlapping and non-overlapping domain decomposition
%J Electronic transactions on numerical analysis
%D 2000
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%U http://geodesic.mathdoc.fr/item/ETNA_2000__10__a4/
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%F ETNA_2000__10__a4
Haase,  Gundolf. A parallel AMG for overlapping and non-overlapping domain decomposition. Electronic transactions on numerical analysis, Tome 10 (2000), pp. 41-55. http://geodesic.mathdoc.fr/item/ETNA_2000__10__a4/