Nonlinear boundary condition in electromagnetic theory – analytical scheme of formulation

Abstract

The paper presents a method of how the nonlinear boundary condition [1] may be applied in nonlinear problems of electromagnetic field theory. It is introduced for problems with nonlinear conductivity. An analytical procedure has been constructed, which seeks to reduce calculations related with the nonlinear region. In order to verify the proposed solutions, two problems have been formulated: one of linear and the other of cylindrical symmetry. These have been additionally solved by the authors’ modification of the perturbation method that has been described in previous papers [7, 8, 10]. The electromagnetic field distribution obtained thereby has served as a referential result since it can obtain very accurate solutions [10]. Relative errors of electric and magnetic field strength are introduced to verify the results.

Specialized Symbolic Computation for Steady State Problems

“…This also affects the time that will be used for the operations on the symbolic expressions. A minimal amount of sub-terms for a given time harmonic can be provided by such an implementation that will ensure that the product: (6) and sum:…”

“…Symbolic computation in steady states can be useful in many technical genres that contain complicated mathematical calculations e.g. the author has shown that the presented implementation can be used for certain nonlinear electromagnetic field problems [5,6,7].…”