The Maxwell equations describe the interaction of electric and magnetic fields. Important applications are electric machines such as transformers or motors, or electromagnetic waves radiated from antennas or transmitted in optical fibres. To compute the solutions of real life problems on complicated geometries, numerical methods are required. In this lecture we formulate the Maxwell equations, ...

We discuss the radiation problem of total reflection for a time-harmonic generalized Maxwell system in a nonsmooth exterior domain Ω ⊂ RN , N ≥ 3 , with nonsmooth inhomogeneous, anisotropic coefficients converging near infinity with a rate r−τ , τ > 1 , towards the identity. By means of the limiting absorption principle a Fredholm alternative holds true and the eigensolutions decay polynomially...

It is well-known that a conflict between Galilean relativity and Maxwell equations of electromagnetic equations was apparent by the end of the 19th century. Equally well-known is the fact that Einstein resolved the conflict by pointing out that the principle of relativity and Maxwell equations can both be correct if the notion of absolute time is abandoned. The rest is history. The purpose of t...