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.
Mots clés : algebraic multigrid, Schur complement, Lagrange multipliers
@article{M2AN_2003__37_1_133_0, author = {Martikainen, Janne}, title = {Numerical study of two sparse {AMG-methods}}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, 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://www.numdam.org/articles/10.1051/m2an:2003016/} }
TY - JOUR AU - Martikainen, Janne TI - Numerical study of two sparse AMG-methods JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2003 SP - 133 EP - 142 VL - 37 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2003016/ DO - 10.1051/m2an:2003016 LA - en ID - M2AN_2003__37_1_133_0 ER -
Martikainen, Janne. Numerical study of two sparse AMG-methods. ESAIM: Modélisation mathématique et analyse numérique, Tome 37 (2003) no. 1, pp. 133-142. doi : 10.1051/m2an:2003016. http://www.numdam.org/articles/10.1051/m2an:2003016/
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