β Scribed by I.N. Meleshko
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π SIMILAR VOLUMES
A new technique is developed to evaluate the Cauchy principal value integrals and weakly singular integrals involved in the boundary integral equations. The boundary element method is then applied to analyse scattering of waves by cracks in a laminated composite plate. The Green's functions are obta
Cauchy principal value integrals are evaluated by the IMT quadrature scheme, which like the TANH quadrature scheme is essentially a trapezoidal scheme, after making a transformation of the variable of integration. Numerical results for some test problems demonstrate that the IMT scheme is superior t
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
The mathematical foundations of the application of non-linear transformations to the numerical integration of weakly singular and Cauchy Principal Value (CPV) integrals are revised in this paper. This approach was firstly introduced to compute the singular kernels appearing in the Boundary Element M