caa a22 4500 37892074X CHVBK 20180305123604.0 cr unu---uuuuu 161128e20041101xx s 000 0 eng 10.1515/1569395042571265 doi (NATIONALLICENCE)gruyter-10.1515/1569395042571265 An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems [Elektronische Daten] [T. Tran, E.P. Stephan] We study a two-level overlapping additive Schwarz preconditioner for the h-version of the Galerkin boundary element method when used to solve hypersingular integral equations of the first kind on an open surface in These integral equations result from Neumann problems for the Laplace and Lamé equations in the exterior of the surface. We prove that the condition number of the preconditioned system is bounded by O(1 + log2(H/δ)), where H denotes the diameter of the subdomains and δ the size of the overlap. Copyright 2004, Walter de Gruyter Galerkin boundary element method nationallicence h version nationallicence additive Schwarz nationallicence overlapping nationallicence preconditioned conjugate gradient nationallicence Tran T. School of Mathematics, University of New South Wales, Sydney 2052, Australia aut Stephan E.P. Institut für Angewandte Mathematik, University of Hannover, 30167 Hannover, Germany aut Journal of Numerical Mathematics Walter de Gruyter 12/4(2004-11-01), 311-330 1570-2820 12:4<311 2004 12 jnma https://doi.org/10.1515/1569395042571265 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569395042571265 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Tran T. School of Mathematics, University of New South Wales, Sydney 2052, Australia aut NATIONALLICENCE 700 1- Stephan E.P. Institut für Angewandte Mathematik, University of Hannover, 30167 Hannover, Germany aut NATIONALLICENCE 773 0- Journal of Numerical Mathematics Walter de Gruyter 12/4(2004-11-01), 311-330 1570-2820 12:4<311 2004 12 jnma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter