Eventos Anais de eventos
MECSOL 2019
7th International Symposium on Solid Mechanics
Correlation between physical wavenumbers and singularites in the integrand of Green’s functions for layered media
Submission Author:
Iago Cavalcante , SP
Co-Authors:
Iago Cavalcante, Josue Labaki
Presenter: Iago Cavalcante
doi://10.26678/ABCM.MECSOL2019.MSL19-0187
Abstract
This work investigates the issue of localization of singularities in the numerical integration of improper integrals of singular functions. Such integrals are common in many engineering problems that are solved with the aid of space transforms. Boundary element and other meshless methods that involve computing Green’s functions are also examples of methods in which such integrals must be solved. A fundamental part of numerical integration schemes is the localization of the singularities on the path of integration, after which the singularities can be integrated. This work focuses on the case of Green’s functions for a multilayered transversely isotropic half-space.
Keywords
Numerical Integration, singular integrands, Green’s Functions, localization of singularities
