Journal of Numerical Mathematics
Editor-in-Chief: Hoppe, Ronald H. W. / Kuznetsov, Yuri
Managing Editor: Olshanskii, Maxim
Editorial Board Member: Axelsson, Owe / Brenner, Susanne C. / Carstensen, Carsten / Dryja, M. / Feistauer, Miloslav / Glowinski, R. / Lazarov, Raytcho / Nataf, Frédéric / Neittaanmaki, P. / Pironneau, O. / Quarteroni, Alfio / Rannacher, Rolf / Repin, Sergey I. / Shi, Zhong-ci / Tyrtyshnikov, Eugene E. / Widlund, O. / Zou, Jun
4 Issues per year
IMPACT FACTOR increased in 2013: 0.633
Rank 126 out of 299 in category Mathematics in the 2013 Thomson Reuters Journal Citation Report/Science Edition
SCImago Journal Rank (SJR): 0.932
Source Normalized Impact per Paper (SNIP): 0.812
Mathematical Citation Quotient 2013: 0.57
Volume 22 (2014)
Volume 21 (2013)
Volume 20 (2012)
Volume 19 (2011)
Volume 18 (2010)
Volume 17 (2009)
Volume 16 (2008)
Volume 15 (2007)
Volume 14 (2006)
Volume 13 (2005)
Volume 12 (2004)
Volume 11 (2003)
Volume 10 (2002)
Most Downloaded Articles
- New development in freefem++ by Hecht, F.
- Preface by Hoppe, Ronald H. W. and Kuznetsov, Yuri A.
- Moving meshes with freefem++ by Decoene, A. and Maury, B.
- A posteriori error estimation of goal-oriented quantities by the superconvergence patch recovery by Korotov, S./ Neittaanmäki, P. and Repin, S.
An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems
∗ School of Mathematics, University of New South Wales, Sydney 2052, Australia
† Institut für Angewandte Mathematik, University of Hannover, 30167 Hannover, Germany
Citation Information: Journal of Numerical Mathematics jnma. Volume 12, Issue 4, Pages 311–330, ISSN (Online) 1569-3953, ISSN (Print) 1570-2820, DOI: 10.1515/1569395042571265, November 2004
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.