Well Posedness and Finite Element Approximability of Three-Dimensional Time-Harmonic Electromagnetic Problems Involving Rotating Axisymmetric Objects

A set of sufficient conditions for the well posedness and the convergence of the finite element approximation of three-dimensional time-harmonic electromagnetic boundary value problems involving non-conducting rotating objects with stationary boundaries or bianisotropic media is provided for the fir...

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Main Authors:	Praveen Kalarickel Ramakrishnan, Mirco Raffetto
Format:	Article
Language:	English
Published:	MDPI AG 2020-02-01
Series:	Symmetry
Subjects:	electromagnetic scattering time-harmonic electromagnetic fields moving media rotating axisymmetric objects bianisotropic media variational formulation well posedness finite element method convergence of the approximation
Online Access:	https://www.mdpi.com/2073-8994/12/2/218

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spelling	doaj-0c57b54dbb7d4b59833643137a7654202020-11-25T01:45:51ZengMDPI AGSymmetry2073-89942020-02-0112221810.3390/sym12020218sym12020218Well Posedness and Finite Element Approximability of Three-Dimensional Time-Harmonic Electromagnetic Problems Involving Rotating Axisymmetric ObjectsPraveen Kalarickel Ramakrishnan0Mirco Raffetto1Department of Electrical, Electronic, Telecommunications Engineering and Naval Architecture, University of Genoa, Via Opera Pia 11a, I–16145 Genoa, ItalyDepartment of Electrical, Electronic, Telecommunications Engineering and Naval Architecture, University of Genoa, Via Opera Pia 11a, I–16145 Genoa, ItalyA set of sufficient conditions for the well posedness and the convergence of the finite element approximation of three-dimensional time-harmonic electromagnetic boundary value problems involving non-conducting rotating objects with stationary boundaries or bianisotropic media is provided for the first time to the best of authors’ knowledge. It is shown that it is not difficult to check the validity of these conditions and that they hold true for broad classes of practically important problems which involve rotating or bianisotropic materials. All details of the applications of the theory are provided for electromagnetic problems involving rotating axisymmetric objects.https://www.mdpi.com/2073-8994/12/2/218electromagnetic scatteringtime-harmonic electromagnetic fieldsmoving mediarotating axisymmetric objectsbianisotropic mediavariational formulationwell posednessfinite element methodconvergence of the approximation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Praveen Kalarickel Ramakrishnan Mirco Raffetto
spellingShingle	Praveen Kalarickel Ramakrishnan Mirco Raffetto Well Posedness and Finite Element Approximability of Three-Dimensional Time-Harmonic Electromagnetic Problems Involving Rotating Axisymmetric Objects Symmetry electromagnetic scattering time-harmonic electromagnetic fields moving media rotating axisymmetric objects bianisotropic media variational formulation well posedness finite element method convergence of the approximation
author_facet	Praveen Kalarickel Ramakrishnan Mirco Raffetto
author_sort	Praveen Kalarickel Ramakrishnan
title	Well Posedness and Finite Element Approximability of Three-Dimensional Time-Harmonic Electromagnetic Problems Involving Rotating Axisymmetric Objects
title_short	Well Posedness and Finite Element Approximability of Three-Dimensional Time-Harmonic Electromagnetic Problems Involving Rotating Axisymmetric Objects
title_full	Well Posedness and Finite Element Approximability of Three-Dimensional Time-Harmonic Electromagnetic Problems Involving Rotating Axisymmetric Objects
title_fullStr	Well Posedness and Finite Element Approximability of Three-Dimensional Time-Harmonic Electromagnetic Problems Involving Rotating Axisymmetric Objects
title_full_unstemmed	Well Posedness and Finite Element Approximability of Three-Dimensional Time-Harmonic Electromagnetic Problems Involving Rotating Axisymmetric Objects
title_sort	well posedness and finite element approximability of three-dimensional time-harmonic electromagnetic problems involving rotating axisymmetric objects
publisher	MDPI AG
series	Symmetry
issn	2073-8994
publishDate	2020-02-01
description	A set of sufficient conditions for the well posedness and the convergence of the finite element approximation of three-dimensional time-harmonic electromagnetic boundary value problems involving non-conducting rotating objects with stationary boundaries or bianisotropic media is provided for the first time to the best of authors’ knowledge. It is shown that it is not difficult to check the validity of these conditions and that they hold true for broad classes of practically important problems which involve rotating or bianisotropic materials. All details of the applications of the theory are provided for electromagnetic problems involving rotating axisymmetric objects.
topic	electromagnetic scattering time-harmonic electromagnetic fields moving media rotating axisymmetric objects bianisotropic media variational formulation well posedness finite element method convergence of the approximation
url	https://www.mdpi.com/2073-8994/12/2/218
work_keys_str_mv	AT praveenkalarickelramakrishnan wellposednessandfiniteelementapproximabilityofthreedimensionaltimeharmonicelectromagneticproblemsinvolvingrotatingaxisymmetricobjects AT mircoraffetto wellposednessandfiniteelementapproximabilityofthreedimensionaltimeharmonicelectromagneticproblemsinvolvingrotatingaxisymmetricobjects
_version_	1725022308507058176

Well Posedness and Finite Element Approximability of Three-Dimensional Time-Harmonic Electromagnetic Problems Involving Rotating Axisymmetric Objects

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