Optimization of the Finite Element Mesh by the a priori Parameter of Smallness

The results of the investigation of this paper consist in the optimization of the finite element mesh by the quantitative volume elements at the sensitivity limit in describing and observing small electrodynamic effects. An a priori smallness parameter is introduced, which corresponds to a zero decision threshold when processing the results of solving scattering problems on Rayleigh-size particles, as well. The applicability of this approach is logically limited by the magnitude of the target observation effects. The method is applicable only for setting a problem in which the required degree of accuracy exceeds the standard boundary for a conventional calculation mesh. The nonlinear dependence of the number of elements in the mesh at the boundaries of the distinguishability of the object in the field of the action of the electromagnetic wave is a prerequisite for carrying out this study.