TY - JOUR
T1 - A new point of view on the mathematical structure of Maxwell's equations
JF - Magnetics, IEEE Transactions on
Y1 - 1993
A1 - Mayergoyz, Issak D
A1 - D'Angelo,J.
KW - analysis;partial
KW - conditions;boundary
KW - conducting
KW - differential
KW - discretizations;mathematical
KW - element
KW - EM
KW - equations;
KW - equations;boundary
KW - equations;boundary-value
KW - equations;perfect
KW - example;partial
KW - Maxwell's
KW - plate;plane
KW - problems;electromagnetic
KW - problems;finite
KW - scattering;finite
KW - scattering;Maxwell
KW - structure;numerical
KW - thin
KW - value
KW - wave
AB - It is emphasized that the Maxwell equations have a peculiar mathematical structure which leads to boundary value problems with an overspecified number of partial differential equations and an underspecified number of boundary conditions. An attempt is made to reduce these boundary value problems to standard mathematical formulations with equal numbers of partial differential equations and boundary conditions. It is demonstrated that these formulations have some attractive features which appreciably facilitate their finite element discretizations. A numerical example involving scattering of plane electromagnetic waves from a perfect conducting thin plate illustrates the discussion
VL - 29
SN - 0018-9464
CP - 2
M3 - 10.1109/20.250640
ER -