Finite element methods for Maxwell's equations
Peter Monk
Department of Mathematical Sciences
University of Delaware
Abstract:
The time harmonic Maxwell equations present a number of challenges to
numerical analysts. For example
- Scattering problems are posed on an infinite domain so that the
problem of truncating the solution domain must be faced.
- The underlying bilinear form is complex, but not Hermitian and
non-coercive.
- The Maxwell system is a vector system with unusual boundary
conditions.
This talk will present a biased overview of some of the techniques used
to overcome
the above problems, and some of the challenges that still must be
overcome.