This work establishes techniques for adjusting the local spatial resolution of
selected numerical methods in a time-adaptive manner. Such techniques are
developed within the framework of the Finite Integration Technique (FIT), a
hybrid Finite Integration-Finite Volume (FI-FV) Scheme and the
Discontinuous Galerkin Method (DGM). While the FIT and the DGM are
established methods for the numerical solution of electromagnetic field
problems, the FI-FV Scheme is a novel method. The semi-discrete as well as
the fully discretized formulations of all considered methods are presented.
For both...