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

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

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

Cited by

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

Authors

Andrii Bomba 

Rivne State Humanitarian University, Department of Informatics and Applied Mathematics Ukraine
http://orcid.org/0000-0001-5528-4192

Authors

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

Authors

Olha Michuta 

National University of Water and Environmental Engineering, Department of Applied Mathematics Ukraine
http://orcid.org/0000-0003-2886-0662

Authors

Mykhailo Boichura 

National University of Water and Environmental Engineering, Department of Applied Mathematics Ukraine
http://orcid.org/0000-0002-9073-4037

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