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Original version
Tran, T.; Stephan, E.P.: An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems. In: Journal of Numerical Mathematics 12 (2004), Nr. 4, S. 311-330. DOI: https://doi.org/10.1163/1569395042571265
Repository version
To cite the version in the repository, please use this identifier:
https://doi.org/10.15488/3103
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| Abstract: | |
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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 ℝ3. 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.
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| License of this version: | Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
| Publication type: | Article |
| Publishing status: | publishedVersion |
| Publication date: | 2004 |
| Keywords english: | Additive Schwarz, Galerkin boundary element method, H version, Overlapping, preconditioned conjugate gradient, Approximation theory, Boundary conditions, Finite element method, Galerkin methods, Integral equations, Laplace transforms, Problem solving, Set theory, Additive Schwarz, Galerkin boundary element method, H version, Overlapping, Preconditioned conjugate gradient, Boundary element method |
| DDC: | 510 | Mathematik |
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