WIT Press


A Mesh Refinement Technique For The Boundary Element Method Based On Local Error Analysis

Price

Free (open access)

Paper DOI

10.2495/BE990261

Volume

25

Pages

12

Published

1999

Size

835 kb

Author(s)

J.J. Rodriguez & H. Power

Abstract

An adaptive mesh refinement technique is proposed for the boundary element method for the treatment of boundaries where Neumann conditions are prescribed. Error indicators at element level are evaluated based on a collocation scheme using an ad hoc uniform norm that compares values of the field variables at successive iterations. An h-adaptation strategy is used to subdivide elements to improve the exactness of the numerical solution. The technique is illustrated with examples for two-dimensional potential problems governed by the Laplace equation. 1 Introduction The accuracy of the boundary element method —as in any numerical method— depends on several factors such as the representation of the geom

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