A mixed nodal-mesh formulation of the PEEC method based on efficient graph algorithms

In this paper a new mixed nodal-mesh formulation of the PEEC method is proposed. Based on the hypothesis that charges reside only on the surface of conductors and that current density is solenoidal inside them, a novel scheme is developed fully exploiting the physical properties of charges and currents. It comes out that the presented approach allows to reduce the number of unknowns while preserving the accuracy. An elegant and efficient algorithm, based on graph theory, is proposed to automatically search independent loops on three dimensional rectangular grids such as those arising in volumetric PEEC formulation. The method is validated through numerical results that confirm the accuracy of the proposed formulation from DC-to-daylight and its capability to provide memory saving.