Singularities of Maxwell interface problems

Martin Costabel; Monique Dauge; Serge Nicaise

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 33, Issue: 3, page 627-649
  • ISSN: 0764-583X

Abstract

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We investigate time harmonic Maxwell equations in heterogeneous media, where the permeability μ and the permittivity ε are piecewise constant. The associated boundary value problem can be interpreted as a transmission problem. In a very natural way the interfaces can have edges and corners. We give a detailed description of the edge and corner singularities of the electromagnetic fields.

How to cite

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Costabel, Martin, Dauge, Monique, and Nicaise, Serge. "Singularities of Maxwell interface problems." ESAIM: Mathematical Modelling and Numerical Analysis 33.3 (2010): 627-649. <http://eudml.org/doc/197484>.

@article{Costabel2010,
abstract = { We investigate time harmonic Maxwell equations in heterogeneous media, where the permeability μ and the permittivity ε are piecewise constant. The associated boundary value problem can be interpreted as a transmission problem. In a very natural way the interfaces can have edges and corners. We give a detailed description of the edge and corner singularities of the electromagnetic fields. },
author = {Costabel, Martin, Dauge, Monique, Nicaise, Serge},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Corner singularities; interface problems; transmission conditions; Maxwell equations; electromagnetism.; interfaces with edges and corners; harmonic Maxwell equations; transmission problem; edge and corner singularities of the electromagnetic fields},
language = {eng},
month = {3},
number = {3},
pages = {627-649},
publisher = {EDP Sciences},
title = {Singularities of Maxwell interface problems},
url = {http://eudml.org/doc/197484},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Costabel, Martin
AU - Dauge, Monique
AU - Nicaise, Serge
TI - Singularities of Maxwell interface problems
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 3
SP - 627
EP - 649
AB - We investigate time harmonic Maxwell equations in heterogeneous media, where the permeability μ and the permittivity ε are piecewise constant. The associated boundary value problem can be interpreted as a transmission problem. In a very natural way the interfaces can have edges and corners. We give a detailed description of the edge and corner singularities of the electromagnetic fields.
LA - eng
KW - Corner singularities; interface problems; transmission conditions; Maxwell equations; electromagnetism.; interfaces with edges and corners; harmonic Maxwell equations; transmission problem; edge and corner singularities of the electromagnetic fields
UR - http://eudml.org/doc/197484
ER -

Citations in EuDML Documents

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  1. Antonio Gaudiello, Kamel Hamdache, The polarization in a ferroelectric thin film: local and nonlocal limit problems
  2. Serge Nicaise, Sarah Cochez-Dhondt, Adaptive finite element methods for elliptic problems: Abstract framework and applications
  3. Patrick Ciarlet Jr., François Lefèvre, Stéphanie Lohrengel, Serge Nicaise, Weighted regularization for composite materials in electromagnetism
  4. Martin Costabel, Monique Dauge, Serge Nicaise, Singularities of eddy current problems
  5. Martin Costabel, Monique Dauge, Serge Nicaise, Singularities of eddy current problems

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