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 -