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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| Format: | Article |
| Language: | English |
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MDPI AG
2020-02-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/2/218 |
| _version_ | 1811187240135557120 |
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| author | Praveen Kalarickel Ramakrishnan Mirco Raffetto |
| author_facet | Praveen Kalarickel Ramakrishnan Mirco Raffetto |
| author_sort | Praveen Kalarickel Ramakrishnan |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-11T13:59:55Z |
| format | Article |
| id | doaj.art-0c57b54dbb7d4b59833643137a765420 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T13:59:55Z |
| publishDate | 2020-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-0c57b54dbb7d4b59833643137a7654202022-12-22T04:20:09ZengMDPI 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 |
| 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 |
| title | 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_short | 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 |
| 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 |
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