Implementation Of An Advanced Symmetric Galerkin BEM-formulation For 3D-elastostatics
Price
Free (open access)
Transaction
Volume
25
Pages
10
Published
1999
Size
719 kb
Paper DOI
10.2495/BE990621
Copyright
WIT Press
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