Numerical solution of a certain hypersingular integral equation of the first kind
β Scribed by Hui Feng; Xiaoping Zhang; Jin Li
- Publisher
- Springer Netherlands
- Year
- 2011
- Tongue
- English
- Weight
- 674 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0006-3835
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π SIMILAR VOLUMES
A Fourier approximation method is developed for the simple layer potential reformulation of Laplace's equation. The efficacy of the method is demonstrated in computational examples, and also analyzed theoretically.
A simple and efficient method for solving hypersingular integral equations of the first kind in reproducing kernel spaces is developed. In order to eliminate the singularity of the equation, a transform is used. By improving the traditional reproducing kernel method, which requires the image space o
## Abstract In this paper, a hypersingular integral equation for curved cracks in plane elasticity is formulated and presented. This paper describes a new numerical technique for solution of deep curved cracks in plane elasticity. In this method, the crack curve length is taken as the coβordinate i