An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems
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| 024 | 7 | 0 | |a 10.1515/1569395042571265 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/1569395042571265 | ||
| 245 | 0 | 3 | |a An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems |h [Elektronische Daten] |c [T. Tran, E.P. Stephan] |
| 520 | 3 | |a 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. | |
| 540 | |a Copyright 2004, Walter de Gruyter | ||
| 690 | 7 | |a Galerkin boundary element method |2 nationallicence | |
| 690 | 7 | |a h version |2 nationallicence | |
| 690 | 7 | |a additive Schwarz |2 nationallicence | |
| 690 | 7 | |a overlapping |2 nationallicence | |
| 690 | 7 | |a preconditioned conjugate gradient |2 nationallicence | |
| 700 | 1 | |a Tran |D T. |u School of Mathematics, University of New South Wales, Sydney 2052, Australia |4 aut | |
| 700 | 1 | |a Stephan |D E.P. |u Institut für Angewandte Mathematik, University of Hannover, 30167 Hannover, Germany |4 aut | |
| 773 | 0 | |t Journal of Numerical Mathematics |d Walter de Gruyter |g 12/4(2004-11-01), 311-330 |x 1570-2820 |q 12:4<311 |1 2004 |2 12 |o jnma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/1569395042571265 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/1569395042571265 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Tran |D T. |u School of Mathematics, University of New South Wales, Sydney 2052, Australia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Stephan |D E.P. |u Institut für Angewandte Mathematik, University of Hannover, 30167 Hannover, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Numerical Mathematics |d Walter de Gruyter |g 12/4(2004-11-01), 311-330 |x 1570-2820 |q 12:4<311 |1 2004 |2 12 |o jnma | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||