Title :
Series expansion approach for singular integrals
Author :
Taylor, Douglas J.
Author_Institution :
Radar Div., Naval Res. Lab., Washington, DC, USA
Abstract :
A class of surface integral equations (SIE) for certain electromagnetic problems requires the numerical integration of singular kernels. Previously, the author showed how one type of singular, four-dimensional, double surface integral could be reduced to a non-singular one-dimensional numerical integration. A series expansion of the integrand and term-by-term integration was found to be superior to traditional Gauss-Legendre quadrature for this integral.
Keywords :
Galerkin method; computational electromagnetics; electric field integral equations; impedance matrix; integration; series (mathematics); Galerkin method; Gauss-Legendre quadrature; electric field integral equation; electromagnetic problems; impedance matrix; nonsingular numerical integration; one-dimensional numerical integration; series expansion; singular integrals; singular kernels; surface integral equations; Gaussian processes; Green function; Integral equations; Kernel; Matrix decomposition; Moment methods; Polynomials; Radar; Shape; Surface impedance;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2005 IEEE
Print_ISBN :
0-7803-8883-6
DOI :
10.1109/APS.2005.1551952
