About application the barycentric method in the numerical solution of internal problem of electrodynamics

The main features of the application of the barycentric method in the numerical solution internal problem of electrodynamics with the allocation of the limitations of the method and its main stages are considered in the article. Methods for finding harmonic barycentric coordinates for a single-conne...

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Main Author: I.S. Polyanskii
Format: Article
Language:English
Published: Povolzhskiy State University of Telecommunications & Informatics 2018-03-01
Series:Физика волновых процессов и радиотехнические системы
Subjects:
Online Access:https://journals.ssau.ru/pwp/article/viewFile/7016/6875
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author I.S. Polyanskii
author_facet I.S. Polyanskii
author_sort I.S. Polyanskii
collection DOAJ
description The main features of the application of the barycentric method in the numerical solution internal problem of electrodynamics with the allocation of the limitations of the method and its main stages are considered in the article. Methods for finding harmonic barycentric coordinates for a single-connected homogeneous analysis domain with a piecewise linear boundary are presented. In order to provide clarity and determine the preference for the use of barycentric method, the algorithm for solving the internal problem of electrodynamics of a mirror antenna, including one source of the electromagnetic field (irradiator) and a reflector is presented. Examples of numerical calculation of the current density on the reflector surface by the barycentric method depending on the order of approximation are given. Advantages and disadvantages of the barycentric method are highlighted.
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spelling doaj.art-f28f3fdfafc74822ae13e5082748f34c2023-12-22T10:31:39ZengPovolzhskiy State University of Telecommunications & InformaticsФизика волновых процессов и радиотехнические системы1810-31892782-294X2018-03-0121336426583About application the barycentric method in the numerical solution of internal problem of electrodynamicsI.S. Polyanskii0Академия ФСО РоссииThe main features of the application of the barycentric method in the numerical solution internal problem of electrodynamics with the allocation of the limitations of the method and its main stages are considered in the article. Methods for finding harmonic barycentric coordinates for a single-connected homogeneous analysis domain with a piecewise linear boundary are presented. In order to provide clarity and determine the preference for the use of barycentric method, the algorithm for solving the internal problem of electrodynamics of a mirror antenna, including one source of the electromagnetic field (irradiator) and a reflector is presented. Examples of numerical calculation of the current density on the reflector surface by the barycentric method depending on the order of approximation are given. Advantages and disadvantages of the barycentric method are highlighted.https://journals.ssau.ru/pwp/article/viewFile/7016/6875barycentric methodnumerical solution internal problem of electrodynamicsharmonic barycentric coordinates
spellingShingle I.S. Polyanskii
About application the barycentric method in the numerical solution of internal problem of electrodynamics
Физика волновых процессов и радиотехнические системы
barycentric method
numerical solution internal problem of electrodynamics
harmonic barycentric coordinates
title About application the barycentric method in the numerical solution of internal problem of electrodynamics
title_full About application the barycentric method in the numerical solution of internal problem of electrodynamics
title_fullStr About application the barycentric method in the numerical solution of internal problem of electrodynamics
title_full_unstemmed About application the barycentric method in the numerical solution of internal problem of electrodynamics
title_short About application the barycentric method in the numerical solution of internal problem of electrodynamics
title_sort about application the barycentric method in the numerical solution of internal problem of electrodynamics
topic barycentric method
numerical solution internal problem of electrodynamics
harmonic barycentric coordinates
url https://journals.ssau.ru/pwp/article/viewFile/7016/6875
work_keys_str_mv AT ispolyanskii aboutapplicationthebarycentricmethodinthenumericalsolutionofinternalproblemofelectrodynamics