On the Equivalence of RWG Method of Moments and the Locally Corrected Nyström Method for Solving the Electric Field Integral Equation

Autor:	Jonatan Aronsson, Ian Jeffrey, Vladimir Okhmatovski, Mohammad Shafieipour
Rok vydání:	2014
Předmět:	Matrix (mathematics) Discretization Mathematical analysis Degrees of freedom (statistics) Nyström method Basis function Electrical and Electronic Engineering Method of moments (statistics) Electric-field integral equation Multipole expansion Mathematics
Zdroj:	IEEE Transactions on Antennas and Propagation. 62:772-782
ISSN:	1558-2221 0018-926X
DOI:	10.1109/tap.2013.2291905
Popis:	The first-order locally corrected Nystrom (LCN) method for the electric field integral equation is modified to ensure continuity of the current between triangular elements of the mesh. Rao-Wilton-Glisson (RWG) basis functions are used to create a conversion matrix from the LCN representation of the current to the RWG method-of-moments (MoM) representation of the current in order to enforce continuity of current between adjacent triangular flat patches. Benefits of the method are two fold: first, it provides 4 × reduction in degrees of freedom and removes unacceptable error levels in first-order LCN implementations, second, the method can be viewed as a point-based discretization of the RWG MoM offering improved efficiency in its acceleration with the fast multipole algorithm.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::87d5111b91acc2114f6a82514d7b19f6 https://doi.org/10.1109/tap.2013.2291905 Zobrazit plný text záznamu