Equivalent transmission conditions for the time-harmonic Maxwell equations in 3D for a medium with a highly conductive thin sheet
| hal.structure.identifier | Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP] | |
| hal.structure.identifier | Advanced 3D Numerical Modeling in Geophysics [Magique 3D] | |
| dc.contributor.author | PÉRON, Victor | |
| hal.structure.identifier | Institut für Mathematik [Berlin] | |
| dc.contributor.author | SCHMIDT, Kersten | |
| hal.structure.identifier | Advanced 3D Numerical Modeling in Geophysics [Magique 3D] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DURUFLÉ, Marc | |
| dc.date.accessioned | 2024-04-04T03:14:58Z | |
| dc.date.available | 2024-04-04T03:14:58Z | |
| dc.date.created | 2015 | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 0036-1399 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194114 | |
| dc.description.abstractEn | We propose equivalent transmission conditions of order 1 and 2 for thin and highly conducting sheets for the time-harmonic Maxwell's equation in three dimension. The transmission conditions are derived asymptotically for vanishing sheet thickness ε where the skin depth is kept proportional to ε. The condition of order 1 turns out to be the perfect electric conductor boundary condition. The conditions of order 2 appear as generalised Poincaré-Steklov maps between tangential components of the magnetic field and the electric field, and they are of Wentzell type involving second order surface differential operators. Numerical results with finite elements of higher order validate the asymptotic convergence for ε → 0 and the robustness of the equivalent transmission condition of order 2. | |
| dc.language.iso | en | |
| dc.publisher | Society for Industrial and Applied Mathematics | |
| dc.rights.uri | http://creativecommons.org/licenses/by/ | |
| dc.subject.en | time-harmonic Maxwell's equations | |
| dc.subject.en | Asymptotic expansions | |
| dc.subject.en | impedance transmission conditions | |
| dc.subject.en | thin conducting sheets | |
| dc.title.en | Equivalent transmission conditions for the time-harmonic Maxwell equations in 3D for a medium with a highly conductive thin sheet | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1137/15M1012116 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | SIAM Journal on Applied Mathematics | |
| bordeaux.page | 1031--1052 | |
| bordeaux.volume | 76 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01260111 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01260111v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIAM%20Journal%20on%20Applied%20Mathematics&rft.date=2016&rft.volume=76&rft.issue=3&rft.spage=1031--1052&rft.epage=1031--1052&rft.eissn=0036-1399&rft.issn=0036-1399&rft.au=P%C3%89RON,%20Victor&SCHMIDT,%20Kersten&DURUFL%C3%89,%20Marc&rft.genre=article |
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