Direct Gauss quadrature formulae for logarithmic singularities on isoparametric elements

Engineering Analysis with Boundary Elements

Volumn 24, Issue 2, 2000, Pages 161-167

  Smith, R N L ^a  

^a CRANFIELD UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS;

GAUSS QUADRATURE FORMULAE;

BOUNDARY ELEMENT METHOD;

EID: 0033884491     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(99)00054-5     Document Type: Article

References (6)

1. Telles J.C.F. A self-adaptive coordinate transformation for efficient numerical evaluation of general boundary integrals. Int J Num Meth Engng. 24:1987;959-973.
2. Smith RNL. Specialised quadrature schemes for boundary integral methods, Proceedings of First UK Conference on Boundary Integral Methods, Leeds, June 1997. p. 266-75.
3. Smith R.N.L., Mason J.C. A boundary element method for curved crack problems in two dimensions. Brebbia C.A. Proceedings of the 4th International Conference on Boundary Elements. 1982;472-484 Springer, Berlin.
4. Aliabadi M.H., Hall W.S., Phemister T.G. Taylor expansions for singular kernels in the boundary element method. Int J Num Meth Engng. 21:1985;2221-2236.
5. Crow J.A. Quadrature of integrands with a logarithmic singularity. Math Comp. 60(201):1993;297-301.
6. Smith R.N.L. Simplifying integration for logarithmic singularities. Brebbia C.A., Martins J.B., Aliabadi M.H., Haie N. Proceedings of the 18th International Conference on Boundary Elements. 1996;233-240 Computational Mechanics Publications, Southampton.