Solution of the Optimization Problem of Magnetotelluric Sounding in Quaternions by the Differential Evolution Method-Reference-Cited by-同舟云学术

Solution of the Optimization Problem of Magnetotelluric Sounding in Quaternions by the Differential Evolution Method

Published:2024-06-18 Issue:6 Volume:12 Page:127
ISSN:2079-3197
Container-title:Computation
language:en
Short-container-title:Computation

Author:

Kasenov Syrym E.¹^ORCID,Demeubayeva Zhanar E.²,Temirbekov Nurlan M.¹³,Temirbekova Laura N.³⁴

Affiliation:

1. Faculty of Mechanics and Mathematics, Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan

2. Department of Mathematics, Daulet Serikbayev East Kazakhstan Technical University, Ust-Kamenogorsk 070000, Kazakhstan

3. National Engineering Academy of the Republic of Kazakhstan, Almaty 050010, Kazakhstan

4. Faculty of Mathematics, Physics and Informatics, Abai Kazakh National Pedagogical University, Almaty 050010, Kazakhstan

Abstract

The article discusses the application of quaternion Fourier transforms and quaternion algebra to transform Maxwell’s equations. This makes it possible to present the problem of magnetotelluric sensing (MTS) in a more convenient form for research. Studies of the inverse MTS problem for multi-layer regions are presented using the differential evolution method, which demonstrates high convergence. For single-layer regions, a new method for solving inverse problems based on minimizing the quadratic functional using conjugate optimization methods is considered. Numerical results obtained using special Python libraries are presented, with analysis and conclusions.

Publisher

MDPI AG

Link

https://www.mdpi.com/2079-3197/12/6/127/pdf

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