Title :
Singularity subtraction technique for high-order polynomial vector basis functions on planar triangles
Author :
Järvenpää, Seppo ; Taskinen, Matti ; Ylä-Oijala, Pasi
Author_Institution :
Electromagn. Lab., Helsinki Univ. of Technol., Espoo, Finland
Abstract :
In this paper a singularity subtraction technique is developed for computing the impedance matrix elements of various electromagnetic surface integral equation formulations with the Galerkin method and high-order basis functions. Analytical closed form formulas for computing surface integrals with |r - r´|n, n≥-3, singularities times polynomial nodal shape functions of arbitrary order on a planar triangle are presented.
Keywords :
Galerkin method; computational electromagnetics; electric field integral equations; electromagnetic wave scattering; impedance matrix; magnetic field integral equations; Galerkin method; electromagnetic computation; high-order basis function; impedance matrix element; planar triangle; singularity subtraction technique; surface integral equation formulation; Current density; Dielectrics; Integral equations; Magnetic fields; Moment methods; Polynomials; Shape; Subtraction techniques; Surface impedance; Transmission line matrix methods; Higher order basis function; method of moments (MoM); numerical integration; singularity extraction; singularity subtraction; surface integral equation;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2005.861556
