Adaptation of mathematical methods to electromagnetic modeling, task 1

The two main contributions of this report are approaches to the network modeling of electromagnetic field problems, and to the handling of some particular distributions. The first item is promising because part of the discretize equations involved are rigorously exact and easily written down (discrete covariance). Problems that should be more thoroughly analyzed are the handling of boundary conditions and the prolongation problem. These have some obvious solutions, but they should be refined in particular when using sampling on a simplical complex. A comparison with other methods is also in order.