Discrete Hamilton's equations for thermo-electromagnetic systems

Energy methods are used extensively in the formulation of discrete system models. They simplify the systematic integration of diverse kinematic schemes, and are well suited for characterizing complex energy domain coupling effects. Continuum mechanics models are by contrast normally based on partial differential equation descriptions of the physical system. The research presented here develops a new Hamiltonian method for the simulation of distributed parameter electromagnetic and thermo-electromagnetic systems. It expands the application of current system dynamics modeling techniques, to encompass complex distributed parameter electromagnetic systems.