  The simulation method ArbiLoMod has the goal to provide users of Finite
Element based simulation software with quick re-simulation after localized
changes to the model under consideration. It generates a Reduced Order Model
(ROM) for the full model without ever solving the full model. To this end, a
localized variant of the Reduced Basis method is employed, solving only small
localized problems in the generation of the reduced basis. The key to quick
re-simulation lies in recycling most of the localized basis vectors after a
localized model change. In this publication, ArbiLoMod's local training
algorithm is analyzed numerically for the non-coercive problem of time harmonic
Maxwell's equations in 2D, formulated in H(curl).
