Numerical integration of logarithmic and nearly logarithmic singularity in BEMs

Applied Mathematical Modelling

Volumn 25, Issue 11, 2001, Pages 901-922

  Sladek, V ^a   Sladek, J ^a   Tanaka, M ^b  

^a INSTITUTE OF CONSTRUCTION AND ARCHITECTURE   (Slovakia)

^b SHINSHU UNIVERSITY   (Japan)

Author keywords

Accuracy; Boundary element method; Numerical integration; Weak singularity

Indexed keywords

BOUNDARY CONDITIONS; INTEGRAL EQUATIONS; INTEGRATION;

CURVILINEAR ELEMENTS;

MATHEMATICAL MODELS;

BOUNDARY ELEMENT METHOD;

EID: 0035499555     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0307-904X(01)00021-X     Document Type: Article

References (13)

1. Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics
2. On numerical cubatures of singular surface integrals in boundary element methods
3. Numerical evaluation of singular and finite-part integrals on curved surfaces using symbolic manipulation
4. On numerical cubatures of nearly singular surface integrals in BEM collocation
5. Self-adaptive algorithm for evaluation of weakly singular integrals arising in the boundary element methods
6. The application of double exponential formulas in the boundary element method
7. A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals
8. Third degree polynomial transformation for boundary element integrals: Further improvements
9. A numerical quadrature for nearly singular boundary element integrals
10. Optimal transformation of the integration variables in computation of singular integrals in BEM
11. Some numerical aspects in computation of singular integrals in BEMs