В научном журнале Journal of Communications Technology and Electronics, которая имеет квартиль Q2 по направлению Engineering, опубликована статья профессора кафедры вычислительной математики Р.З. Даутова
Finite Distributed Element Method for Fractal Element Analysis Based on Multilayer Resistive-Capacitive Media
A. Kh. Gilmutdinova, b, *, R. Z. Dautovc, and P. A. Ushakovd aKazan National Research Technical University Named after A.N. Tupolev—KAI, Kazan, 420111 Russia bResearch and Production Association Shymko Radioelectronics, Kazan, 420029 Russia cKazan Federal University, Kazan, 420008 Russia dKalashnikov Izhevsk State Technical University, Izhevsk, 426069 Russia
Abstract — It is shown that the analysis of fractal elements realized on the basis of an inhomogeneous multi- layer resistive-capacitive medium using the classical finite element method (FEM) gives unsatisfactory results for normalized frequencies ùRC > 10. A hybrid computational scheme of the FEM based on L-splines as finite elements (FEs), which at each FE are a solution to the differential equation of homogeneous RC- lines. It is proposed to replace one-dimensional and two-dimensional FEs of various shapes (three-, four-, etc., coal) with a corresponding physical equivalent circuit, where the sides of polygonal FEs are segments of a homogeneous RC-line, which we called a one-dimensional homogeneous RC-element with distribution parameters (OH RC-EDPs).Thus, the problem of determining the characteristics and parameters of the investigated fractal element is replaced by the problem of determining the impedance of the resulting electri- cal equivalent circuit based on the OH RC-EDP. We called this method of analysis the FDEM (finite distrib- uted element method).