The discrete geometric approach (DGA) to Maxwell's equations is a way to build discrete counterparts of the laws of electricity and magnetism on a given finite (simplicial) mesh. The T-Omega formulation for solving a quasi-magnetostatic problem arising from the DGA is of particular interests to engineers since, compared to other DGA formulations, it requires a much smaller number of unknowns. The price to pay for having this relatively small system of equations is the necessity to impose topology of the system of conductors and insulators a priory into the system.

In this talk I will explain the general idea of T-Omega formulation and show how topological information is encoded into the system. Then, I will discuss efficient algorithmic ways to compute this topological information and present some basic numerical results.