WIT Press


Implementation Of An Advanced Symmetric Galerkin BEM-formulation For 3D-elastostatics

Price

Free (open access)

Paper DOI

10.2495/BE990621

Volume

25

Pages

10

Published

1999

Size

719 kb

Author(s)

M. Haas & G. Kuhn

Abstract

Like the finite element method (FEM), the symmetric Galerkin boundary element method (SGBEM) produces symmetric "stiffness"-matrices, which allow an efficient coupling of both numerical methods. Compared to the standard collocation method, in the SGBEM one has to deal with double integrations and the occurrence of hypersingular kernel functions. For two- dimensional problems the SGBEM is well developed (e.g. [4, 5, 6]), whereas SD-implementations were restricted to linear triangular elements up to now. This is not sufficient for practical applications in engineering. Based on a strongly singular formulation of the traction boundary integral equation, the regularization procedure for linear triangular elements proposed in [1, 7] is

Keywords