On a numerical quasiconformal mapping method for the medium parameters identification using applied quasipotential tomography
Date
2017-06-15
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Lviv Politechnic Publishing House
Abstract
Розглянуто задачу iдентифiкацiї параметрiв сплескiв коефiцiєнта провiдностi сере-
довища за даними томографiї прикладених квазiпотенцiалiв. Запропоновано метод
реконструкцiї зображення, згiдно з яким задача аналiзу зводиться до застосування
числових методiв квазiконформних вiдображень, а задача синтезу - до розв’язання
задачi параметричної iдентифiкацiї. Наведено результати числових експериментiв та
проведено їх аналiз.
The problem of parameters identification of the bursts of the medium conductivity coefficient according to the tomography of the applied quasipotentials is considered. The method of image reconstruction is suggested, according to which the problem of analysis is reduced to the application of numerical methods of quasiconformal mappings, and the problem of synthesis is reduced to the solving the problem of parametric identification. The results of numerical experiments are presented and their analysis is carried out.
The problem of parameters identification of the bursts of the medium conductivity coefficient according to the tomography of the applied quasipotentials is considered. The method of image reconstruction is suggested, according to which the problem of analysis is reduced to the application of numerical methods of quasiconformal mappings, and the problem of synthesis is reduced to the solving the problem of parametric identification. The results of numerical experiments are presented and their analysis is carried out.
Description
Keywords
томографія прикладених квазіпотенціалів, квазіконформні відображення, ідентифікація, нелінійні задачі, applied quasipotential tomography, quasiconformal mappings, identification, nonlinear problems
Citation
Bomba A. On a numerical quasiconformal mapping method for the medium parameters identification using applied quasipotential tomography / A. Bomba, M. Boichura // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2017. — Vol 4. — No 1. — P. 10–20.