## 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__–
On the exponential convergence of the h–p version for boundary element Galerkin methods on polygons
✍ Scribed by I. Babuška; B. Q. Guo; E. P. Stephan
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 678 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0170-4214
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✦ Synopsis
Abstract
This paper applies the technique of the h–p version to the boundary element method for boundary value problems on non‐smooth, plane domains with piecewise analytic boundary and data. The exponential rate of convergence of the boundary element Galerkin solution is proved when a geometric mesh refinement towards the vertices is used.
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