INVESTIGADORES
STORTI Mario Alberto
artículos
Título:
Full Numerical Quadrature in Galerkin Boundary Element Methods
Autor/es:
D'ELÍA, JORGE; LAURA BATTAGLIA; CARDONA ALBERTO; STORTI MARIO
Revista:
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
Editorial:
John Wiley & Sons Inc
Referencias:
Lugar: Hoboken, New Jersey.; Año: 2009
ISSN:
1069-8299
Resumen:
When a Galerkin discretization of a boundary integral equation with a weakly singular kernel is performed over triangles, a double surface integral must be evaluated for each pair of them. If these pairs are not contiguous or not coincident the kernel is regular and a Gauss-Legendre quadrature can be employed. When the pairs have a common edge or a common vertex, then edge and vertex weak singularities appear. If the pairs have both facets coincident the whole integration domain is weakly singular. D. J. Taylor (IEEE Trans. on Antennas and Propagation, 51(7):1630-1637 (2003)) proposed a systematic evaluation based on a reordering and partitioning of the integration domain, together with a use of the Duffy transformations in order to remove the singularities, in such a way that a Gauss-Legendre quadrature was performed on three coordinates with an analytic integration in the fourth coordinate. Since this scheme is a bit restrictive because it was designed for electromagnetic wave propagation kernels, a full numerical quadrature on the four coordinates is proposed in order to handle kernels with a weak singularity with a general framework. Numerical tests based on modifications of the one proposed by W. Wang and N. Atalla (Comm. in Num. Meth. Eng., 13(11):885-890 (1997)) are included.