Premium
A simple Nyström approach for the analysis of 3D arbitrarily shaped conducting and dielectric bodies
Author(s) -
Burghignoli P.,
Di Nallo C.,
Frezza F.,
Galli A.
Publication year - 2003
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.495
Subject(s) - nyström method , discretization , quadrature (astronomy) , singularity , representation (politics) , simple (philosophy) , integral equation , gravitational singularity , mathematics , dielectric , numerical analysis , surface integral , mathematical analysis , physics , optics , philosophy , optoelectronics , epistemology , politics , political science , law
In this work, an original boundary‐integral‐equation (BIE) approach is developed for an efficient and accurate electromagnetic analysis of arbitrarily shaped three‐dimensional (3D) conducting and dielectric structures. A suitable analytical pre‐processing on the field integral representation leads to a reduction of the singularity degree of the kernels and allows a straightforward implementation of the Nyström method, based on a direct discretization of the surface integrals by means of two‐dimensional (2D) quadrature formulas. This approach presents attractive computational advantages, mainly related to the very simple determination of the matrix elements in the resulting linear system. Various numerical results have been derived for canonical 3D shapes to validate the proposed implementation, confirming the excellent features of versatility and accuracy of this numerical tool. Copyright © 2003 John Wiley & Sons, Ltd.