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
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topCostabel, 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 -
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- Patrick Ciarlet Jr., François Lefèvre, Stéphanie Lohrengel, Serge Nicaise, Weighted regularization for composite materials in electromagnetism
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