Time-harmonic electromagnetics with exact controllability and discrete exterior calculus
In this paper, we apply the exact controllability concept for time-harmonic electromagnetic scattering. The problem is presented in terms of the differential forms, and the discrete exterior calculus is utilized for spatial discretization. Accordingly, the physical properties of the problem are main...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2023-12-01
|
| Series: | Comptes Rendus. Mécanique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.234/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825206049867563008 |
|---|---|
| author | Mönkölä, Sanna Räbinä, Jukka Rossi, Tuomo |
| author_facet | Mönkölä, Sanna Räbinä, Jukka Rossi, Tuomo |
| author_sort | Mönkölä, Sanna |
| collection | DOAJ |
| description | In this paper, we apply the exact controllability concept for time-harmonic electromagnetic scattering. The problem is presented in terms of the differential forms, and the discrete exterior calculus is utilized for spatial discretization. Accordingly, the physical properties of the problem are maintained. Despite we consider time-harmonic problems, we concentrate on transient wave equations treated by the exact controllability approach. Essentially, we use a controlled variation of the asymptotic approach with periodic constraints, in which the time-dependent equation is simulated in time, until the time-harmonic solution is reached. |
| format | Article |
| id | doaj-art-f33d848a9bda44bba158203686d01d8f |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-f33d848a9bda44bba158203686d01d8f2025-02-07T13:46:20ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-12-01351S164766510.5802/crmeca.23410.5802/crmeca.234Time-harmonic electromagnetics with exact controllability and discrete exterior calculusMönkölä, Sanna0https://orcid.org/0000-0001-5843-2533Räbinä, Jukka1Rossi, Tuomo2https://orcid.org/0000-0001-8329-2675Faculty of Information Technology, University of Jyväskylä, P.O. Box 35, FI-40014 University of Jyväskylä, FinlandFaculty of Information Technology, University of Jyväskylä, P.O. Box 35, FI-40014 University of Jyväskylä, FinlandFaculty of Information Technology, University of Jyväskylä, P.O. Box 35, FI-40014 University of Jyväskylä, FinlandIn this paper, we apply the exact controllability concept for time-harmonic electromagnetic scattering. The problem is presented in terms of the differential forms, and the discrete exterior calculus is utilized for spatial discretization. Accordingly, the physical properties of the problem are maintained. Despite we consider time-harmonic problems, we concentrate on transient wave equations treated by the exact controllability approach. Essentially, we use a controlled variation of the asymptotic approach with periodic constraints, in which the time-dependent equation is simulated in time, until the time-harmonic solution is reached.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.234/Maxwell equationsElectromagnetic scatteringDifferential formsDiscrete exterior calculusExact controllability |
| spellingShingle | Mönkölä, Sanna Räbinä, Jukka Rossi, Tuomo Time-harmonic electromagnetics with exact controllability and discrete exterior calculus Comptes Rendus. Mécanique Maxwell equations Electromagnetic scattering Differential forms Discrete exterior calculus Exact controllability |
| title | Time-harmonic electromagnetics with exact controllability and discrete exterior calculus |
| title_full | Time-harmonic electromagnetics with exact controllability and discrete exterior calculus |
| title_fullStr | Time-harmonic electromagnetics with exact controllability and discrete exterior calculus |
| title_full_unstemmed | Time-harmonic electromagnetics with exact controllability and discrete exterior calculus |
| title_short | Time-harmonic electromagnetics with exact controllability and discrete exterior calculus |
| title_sort | time harmonic electromagnetics with exact controllability and discrete exterior calculus |
| topic | Maxwell equations Electromagnetic scattering Differential forms Discrete exterior calculus Exact controllability |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.234/ |
| work_keys_str_mv | AT monkolasanna timeharmonicelectromagneticswithexactcontrollabilityanddiscreteexteriorcalculus AT rabinajukka timeharmonicelectromagneticswithexactcontrollabilityanddiscreteexteriorcalculus AT rossituomo timeharmonicelectromagneticswithexactcontrollabilityanddiscreteexteriorcalculus |