Title :
A new point of view on the mathematical structure of Maxwell´s equations
Author :
Mayergoyz, I.D. ; D´Angelo, J.
Author_Institution :
Dept. of Electr. Eng., Maryland Univ., College Park, MD, USA
fDate :
3/1/1993 12:00:00 AM
Abstract :
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
Keywords :
Maxwell equations; boundary-value problems; electromagnetic wave scattering; finite element analysis; partial differential equations; Maxwell´s equations; boundary conditions; boundary value problems; finite element discretizations; mathematical structure; numerical example; partial differential equations; perfect conducting thin plate; plane EM wave scattering; Boundary conditions; Boundary value problems; Conductors; Educational institutions; Electromagnetic fields; Electromagnetic scattering; Finite element methods; Maxwell equations; Partial differential equations; Research and development;
Journal_Title :
Magnetics, IEEE Transactions on