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hp-adaptive Two-Level Methods for Boundary Integral Equations on Curves |
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| Authors: | N Heuer M E Mellado E P Stephan |
| Affiliation: | Departamento de Ingenierí Matemática Universidad de Concepción, Casilla 160-C Concepción, Chile e-mail: norbert@ing-mat.udec.cl, CL Departamento de Matemática Universidad del Bìo-Bìo, Casilla 5-C Concepción, Chile e-mail: mmellado@ubiobio.cl, CL Institut für Angewandte Mathematik Universit?t Hannover, Welfengarten 1 30167 Hannover, Germany e-mail: stephan@ifam.uni-hannover.de, DE |
| Abstract: | p - and hp-versions of the Galerkin boundary element method for hypersingular and weakly singular integral equations of the first kind on curves. We derive a-posteriori error estimates that are based on stable two-level decompositions of enriched ansatz spaces. The Galerkin errors are estimated by inverting local projection operators that are defined on small subspaces of the second level. A p-adaptive and two hp-adaptive algorithms are defined and numerical experiments confirm their efficiency. Received August 30, 2000; revised April 3, 2001 |
| Keywords: | AMS Subject Classifications: 65N38 65N55 65N30 65R20 |
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