Geodesic
Multilevel preconditioners for Lagrange multipliers in domain imbedding
Electronic transactions on numerical analysis, Tome 15 (2003), pp. 94-105.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A domain imbedding method where the Dirichlet boundary conditions are treated using boundary supported Lagrange multipliers is considered. The discretization leads to a saddle-point problem which is solved iteratively by using either the PMINRES method with a block-diagonal preconditioner or the PCG method in an Uzawa type approach. In both cases, the preconditioning of the Schur complement related to Lagrange multipliers is based on a special sparse implementation of BPX/MDS method. The developed preconditioning technique is wellsuited even for three-dimensional problems in domains with complicated shapes. Several numerical experiments for two-dimensional and three-dimensional problems demonstrate the efficiency and the applicability of the proposed method.
Classification : 65F10, 65N22, 65N55
Keywords: domain imbedding method, Lagrange multipliers, multilevel methods, preconditioning 
@article{ETNA_2003__15__a7,
     author = {Martikainen, Janne and Rossi, Tuomo and Toivanen, Jari},
     title = {Multilevel preconditioners for {Lagrange} multipliers in domain imbedding},
     journal = {Electronic transactions on numerical analysis},
     pages = {94--105},
     publisher = {mathdoc},
     volume = {15},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2003__15__a7/}
}
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Martikainen, Janne; Rossi, Tuomo; Toivanen, Jari. Multilevel preconditioners for Lagrange multipliers in domain imbedding. Electronic transactions on numerical analysis, Tome 15 (2003), pp. 94-105. http://geodesic.mathdoc.fr/item/ETNA_2003__15__a7/