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.netNational 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, anisotropyReferences
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Authors
Andrii BombaRivne State Humanitarian University, Department of Informatics and Applied Mathematics Ukraine
http://orcid.org/0000-0001-5528-4192
Authors
Andrii Safonyksafonik@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 MichutaNational University of Water and Environmental Engineering, Department of Applied Mathematics Ukraine
http://orcid.org/0000-0003-2886-0662
Authors
Mykhailo BoichuraNational University of Water and Environmental Engineering, Department of Applied Mathematics Ukraine
http://orcid.org/0000-0002-9073-4037
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