We discuss various additive Schwarz preconditioners for a fully-discrete and symmetric boundary element method when used to solve a Dirichlet problem in the plane. These preconditioners work in the same way as when they are used for the Galerkin boundary element method: the condition numbers of the preconditioned stiffness matrices grow at most logarithmically with the degree of freedom. Several numerical results are presented to support the theory.
@article{652,
title = {Additive Schwarz preconditioners for a fully-discrete and symmetric boundary element method},
journal = {ANZIAM Journal},
volume = {42},
year = {2000},
doi = {10.21914/anziamj.v42i0.652},
language = {EN},
url = {http://dml.mathdoc.fr/item/652}
}
Tran, Thanh. Additive Schwarz preconditioners for a fully-discrete and symmetric boundary element method. ANZIAM Journal, Tome 42 (2000) . doi : 10.21914/anziamj.v42i0.652. http://gdmltest.u-ga.fr/item/652/