✦ LIBER ✦
Exponential convergence of the h–p version BEM for mixed boundary value problems on polyhedrons
✍ Scribed by H. Holm; M. Maischak; E. P. Stephan
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 267 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1009
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✦ Synopsis
Abstract
We analyze the h–p version of the boundary element method for the mixed Dirichlet–Neumann problems of the Laplacian in polyhedral domains. Based on a regularity analysis of the solution in countably normed spaces, we show that the boundary element Galerkin solution of the h–p version converges exponentially fast on geometrically graded meshes (up to an additional term that converges algebraically with arbitrary high order). Copyright © 2008 John Wiley & Sons, Ltd.