About application the barycentric method in the numerical solution of internal problem of electrodynamics

The main features of the application of the barycentric method in the numerical solution internal problem of electrodynamics with the allocation of the limitations of the method and its main stages are considered in the article. Methods for finding harmonic barycentric coordinates for a single-connected homogeneous analysis domain with a piecewise linear boundary are presented. In order to provide clarity and determine the preference for the use of barycentric method, the algorithm for solving the internal problem of electrodynamics of a mirror antenna, including one source of the electromagnetic field (irradiator) and a reflector is presented. Examples of numerical calculation of the current density on the reflector surface by the barycentric method depending on the order of approximation are given. Advantages and disadvantages of the barycentric method are highlighted.