Semi-analytical Integration For Triangular
Elements Used In The BEM
Author(s)
K. Davey & M.T. Alonso Rasgado
Abstract
The success of the Boundary Element Method (BEM) depends to a large extent
upon the accurate evaluation of singular integrals on element domains. A semi-
analytical integration scheme is described in this paper that is designed to reduce
the errors incurred when integrals with singular integrands are evaluated
numerically. This new scheme can be applied to linear isoparametric and
subparametric triangular elements. The area of applicability is generic although
attention is restricted here to steady-state thermal, elastostatic and steady-state
elastodynamic problems. The scheme involves the use of an intrinsic polar co-
ordinate scheme for the triangular element. For thermal and elastostatic problems,
application of the polar co-ordinate scheme enables the integrals to be written as
double integrals over the triangular
Keywords
Related Book
Other papers in this volume
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