Publication Cover
Applicable Analysis
An International Journal
Volume 48, 1993 - Issue 1-4
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Original Articles

Local residual-type error estimates for adaptive boundary element methods on closed curves

Pages 37-50 | Received 18 Jul 1991, Published online: 10 May 2007
 

Abstract

Considering the Galerkin boundary element methods and mesh families with bounded local mesh ratio we derive local error estimates such that the local error is bounded by a local residual together with some global terms which can be expected to be small. If the order of the boundary operator is non-negative and at most two, these estimates show that the local residual is a local error indicator. For the operators of the negative order we obtain the same conclusion if the mesh is β-regular. Our paper improves recent results of Wendland and Yu in several respects.

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