Geodesic
An iterative substructuring algorithm for a $C^{0}$ interior penalty method
Electronic transactions on numerical analysis, Tome 39 (2012), pp. 313-332.

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

Summary: We study an iterative substructuring algorithm for a $C^0$ interior penalty method for the biharmonic problem. This algorithm is based on a Bramble-Pasciak-Schatz preconditioner. The condition number of the preconditioned Schur complement operator is shown to be bounded by $C \left(1+\ln(\tfrac{H}{h})\right)^2$, where $h$ is the mesh size of the triangulation, $H$ represents the typical diameter of the nonoverlapping subdomains, and the positive constant $C$ is independent of $h, H,$ and the number of subdomains. Corroborating numerical results are also presented.
Classification : 65N55, 65N30
Keywords: biharmonic problem, iterative substructuring, domain decomposition, $C^0$ interior penalty methods, discontinuous Galerkin methods 
@article{ETNA_2012__39__a8,
     author = {Brenner, Susanne C. and Wang, Kening},
     title = {An iterative substructuring algorithm for a $C^{0}$ interior penalty method},
     journal = {Electronic transactions on numerical analysis},
     pages = {313--332},
     publisher = {mathdoc},
     volume = {39},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2012__39__a8/}
}
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Brenner, Susanne C.; Wang, Kening. An iterative substructuring algorithm for a $C^{0}$ interior penalty method. Electronic transactions on numerical analysis, Tome 39 (2012), pp. 313-332. http://geodesic.mathdoc.fr/item/ETNA_2012__39__a8/