An h–φ Cell–Method Formulation for Solving Eddy–Current Problems in Multiply–Connected Domains Without Cuts

A novel h–φ formulation for solving time–harmonic eddy current problems is presented. It makes it possible to limit the number of degrees of freedom required for the discretization likewise T–Ω formulation, while overcoming topological issues related to it when multiply connected domains are considered. Global basis functions, needed for representing magnetic field in the air region, are obtained by a fast iterative solver. The computation of both source fields and thick cuts by high–complexity computational topology tools is thus avoided.