An efficient transformation with Gauss quadrature rule for weakly singular integrals

Communications in Numerical Methods in Engineering

Volumn 17, Issue 12, 2001, Pages 881-891

  Yun, Beong In ^a  

^a Kunsan National University   (South Korea)

Author keywords

Gauss Legendre quadrature rule; Sigmoidal transformation; Weakly singular integral

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; INTEGRAL EQUATIONS;

GAUSS QUADRATURE RULES; SINGULAR INTEGRALS;

MATHEMATICAL TRANSFORMATIONS;

MATHEMATICAL METHOD;

EID: 0035663036     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.457     Document Type: Article

References (14)

1. Taylor expansions for singular kernels in the boundary element method
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3. Accurate numerical integration of singular kernels in the two dimensional boundary element
4. A bi-cubic transformation for the numerical evaluation of the Cauchy principal value integrals in boundary elements
5. Remarks on methods for the computation of boundary-element integrals by co-ordinate transformation
6. On non-linear transformations for the integration of weakly-singular and Cauchy principal value integrals
7. On non-linear transformations for accurate numerical evaluation of weakly singular boundary integrals
8. Sigmoidal transformations and the trapezoidal rule
9. The cruciform crack problem and sigmoidal transformations
10. Application of sigmoidal transformations to weakly singular and near singular boundary element integrals
11. Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals
12. Error estimation of quadrature rules for evaluating singular integrals in boundary element