Geodesic
Numerical study of two sparse AMG-methods
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 1, pp. 133-142

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A sparse algebraic multigrid method is studied as a cheap and accurate way to compute approximations of Schur complements of matrices arising from the discretization of some symmetric and positive definite partial differential operators. The construction of such a multigrid is discussed and numerical experiments are used to verify the properties of the method.

DOI : 10.1051/m2an:2003016
Classification : 65F10, 65N22
Keywords: algebraic multigrid, Schur complement, Lagrange multipliers 
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     author = {Martikainen, Janne},
     title = {Numerical study of two sparse {AMG-methods}},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {133--142},
     publisher = {EDP-Sciences},
     volume = {37},
     number = {1},
     year = {2003},
     doi = {10.1051/m2an:2003016},
     mrnumber = {1972654},
     zbl = {1030.65128},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2003016/}
}
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Martikainen, Janne. Numerical study of two sparse AMG-methods. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 1, pp. 133-142. doi: 10.1051/m2an:2003016

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