A simple device to improve the accuracy of evaluating weakly singular boundary element integrals

Communications in Numerical Methods in Engineering

Volumn 18, Issue 3, 2002, Pages 189-194

  Johnston, Peter R ^a   Johnston, Barbara M ^a  

^a GRIFFITH UNIVERSITY   (Australia)

Author keywords

2D boundary element method; Round off problems; Weakly singular integrals

Indexed keywords

ALGEBRA; BOUNDARY ELEMENT METHOD; EVALUATION;

NON-LINEAR TRANSFORMATION;

NUMERICAL METHODS;

BOUNDARY ELEMENT METHOD; GAUSSIAN MODELING; INTEGRAL MODELING;

EID: 0036497314     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.482     Document Type: Article

References (12)

1. A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals
2. Accurate numerical integration of singular kernels in the two-dimensional boundary element method
3. A bi-cubic transformation for the numerical evaluation of the Cauchy principal value integrals in boundary methods
4. Remarks on methods for the computation of boundary-element integrals by co-ordinate transformation
5. On non-linear transformations for the integration of weakly-singular and Cauchy principal value integrals
6. Application of sigmoidal transformations to weakly singular and near singular boundary element integrals
7. Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals
8. Optimal transformations of the integration variables in computation of singular integrals in BEM
9. On non-linear transformations for accurate numerical evaluation of weakly singular boundary integrals