The evaluation of cauchy principal value integrals in the boundary element method—a review
✍ Scribed by Massimo Guiggiani
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 870 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0895-7177
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📜 SIMILAR VOLUMES
This paper presents a new method for the direct computation of strongly singular integrals existing in the Cauchy principal value sense. It can be usefully applicd in thc solution by the direct boundary element method of many different problems. Initialiy, some considerations are provided in order t
The problem of the numerical evaluation of Cauchy principal value integrals of oscillatory functions 1 -1 e iωx f (x) x-τ dx, where -1 < τ < 1, has been discussed. Based on analytic continuation, if f is analytic in a sufficiently large complex region G containing [-1, 1], the integrals can be tran
Recently a bicubic transformation was introduced to numerically compute the Cauchy principal value (CPV) integrals. Numerical results show that this new method converges faster than the conventional Gauss-Legendre quadrature rule when the integrand contains different types of singularity. Assume is