Finite-elements method: Conduction and liberation of joule heat in regular structures

A method is proposed and used to calculate the effective conductivity of certain regular matrix structures. The distributions of current and isopotential lines are constructed and the duality transformation is examined. A method is devised for calculating the heat evolved when current flows in the given structures. Topograms are constructed to describe relative specific dissipated power and its spectral functions, which might serve as a criterion of the uniformity of the heat-hource distribution.