APPLIED QUASIPOTENTIAL METHOD FOR SOLVING THE COEFFICIENT PROBLEMS OF PARAMETER IDENTIFICATION OF ANISOTROPIC MEDIA


Abstract

A numerical method of quasiconformal mappings for solving the coefficient problems of finding eigenvalues of the conductivity tensor having information about its directions in an anisotropic medium using applied quasipotential tomographic data is generalized. The corresponding algorithm is based on the alternate solving of problems on quasiconformal mappings and parameter identification. The results of numerical experiments of imitative restoration of environment structure are presented.


Keywords

applied quasipotential tomography; quasiconformal mapping; identification; anisotropy

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Published : 2019-03-03


Bomba, A., Safonyk, A., Michuta, O., & Boichura, M. (2019). APPLIED QUASIPOTENTIAL METHOD FOR SOLVING THE COEFFICIENT PROBLEMS OF PARAMETER IDENTIFICATION OF ANISOTROPIC MEDIA. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 9(1), 33-36. https://doi.org/10.5604/01.3001.0013.0896

Andrii Bomba 
Rivne State Humanitarian University, Department of Informatics and Applied Mathematics  Ukraine
http://orcid.org/0000-0001-5528-4192
Andrii Safonyk  safonik@ukr.net
National University of Water and Environmental Engineering, Department of Automation, Electrical Engineering and Computer-Integrated Technologies  Ukraine
http://orcid.org/0000-0002-5020-9051
Olha Michuta 
National University of Water and Environmental Engineering, Department of Applied Mathematics  Ukraine
http://orcid.org/0000-0003-2886-0662
Mykhailo Boichura 
National University of Water and Environmental Engineering, Department of Applied Mathematics  Ukraine
http://orcid.org/0000-0002-9073-4037