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

Andrii Bomba; Andrii Safonyk; Olha Michuta; Mykhailo Boichura

doi:10.5604/01.3001.0013.0896

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Published: Mar 3, 2019

DOI: https://doi.org/10.5604/01.3001.0013.0896

Issue Vol. 9 No. 1 (2019)

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APPLIED QUASIPOTENTIAL METHOD FOR SOLVING THE COEFFICIENT PROBLEMS OF PARAMETER IDENTIFICATION OF ANISOTROPIC MEDIA
Andrii Bomba, Andrii Safonyk, Olha Michuta, Mykhailo Boichura

33-36
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61-64

DOI

https://doi.org/10.5604/01.3001.0013.0896

Authors

Andrii Bomba

abomba@ukr.net

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

o.r.michuta@nuwm.edu.ua

National University of Water and Environmental Engineering, Department of Applied Mathematics, Ukraine

http://orcid.org/0000-0003-2886-0662

Mykhailo Boichura

mboichura@gmail.com

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

References

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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

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

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