engleski

Advanced double 2D numerical integration in surface charge simulation method

Numerical models for computing low-frequency electromagnetic fields can contain spatial 2D finite elements, which are numerically most demanding due to problem of singularity. In this paper, subparametric spatial 2D finite elements with an arbitrary number of nodes for description of surface charge density distribution are developed. The problem of singularity that occurs in the double 2D integration over these elements is solved using an originally developed advanced numerical integration based on 2D Gaussian quadrature. Self and mutual coefficients of spatial 2D finite element nodes are numerically computed and included in the system of linear equations for surface charge density distribution computation. The accuracy of the computer program, based on the presented model, is shown in the chosen numerical example with known analytical solution.

Advanced numerical integration; Gaussian quadrature; Subparametric mapping; Subparametric spatial 2D finite element; Surface charge simulation method

Zbornik s punim tekstom rada izdan je samo kao CD ROM. Prošireni sažeci radova objavljeni su u tiskanom zborniku Proceedings of extended abstracts of the 12th International Conference on Applied Electromagnetics PES 2015 (ISBN 978- 86-6125-144-3) ; Tasić, Dragan (ur.) ; str. 50-51