A Magnetic Flux–Electric Current Volume Integral Formulation Based on Facet Elements for Solving Electromagnetic Problems

An original and powerful volume integral formulation for solving electromagnetic problems is proposed. It is based on a facet interpolation for representing the magnetic flux in magnetic regions and the current density in conducting regions. This formulation is particularly well adapted for solving electromagnetic problems where air is preponderant, whatever the frequency. First results obtained are very encouraging, in terms of efficiency and accuracy.