Applications of multiterminal representations to magnetic fields

A graph-theoretic approach to the formulation of discrete models of magnetic field problems with special emphasis on the application of multiterminal representations is presented. The discrete model is obtained directly from the physics of the field, thus obviating the need for the usual intermediate analytical formulation (partial differential equation, energy functional, etc.). Further, the discrete models of large sparsely connected subregions (elements) may be obtained from the discrete model in terms of multiterminal representations. These models are then used to solve the entire field while providing both conceptual and computational advantages.