A General Algorithm For Numerical Evaluation
Of Nearly Singular Integrals Over High-order
Geometry Elements In 3D BEM
Author(s)
Y. M. Zhang, X. C. Li, V. Sladek & J. Sladek
Abstract
The accurate evaluation of nearly singular boundary integrals is an important
issue in BEM. Several techniques have been developed in recent years, with
various degree of success, but it should be stressed that the boundary geometry is
depicted essentially by using lower-order elements in those approaches.
However, a high level of the geometry approximation in BEM is desired in many
applications, and the usage of high-order elements can meet this requirement. In
this study, we propose a general methodology for computation of the nearly
singular integrals with using high-order surface elements in 3D BEM. Using two
benchmark solutions for potential problems we demonstrate the high efficiency
and the stability of the proposed scheme, even when the internal point is very
close to the boundary.
Keywords: BEM, nearly singular integrals, transformation, high-order geometry
elements, potential problem.
Keywords
BEM, nearly singular integrals, transformation, high-order geometry
elements, potential problem
Related Book
Other papers in this volume
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