Electromagnetic Characterization of Concrete by Jonscher Universal Dielectric Model: Numerical Validation of Different Nonlinear Optimization Algorithms

The dielectric permittivity model of concrete plays a key role in characterizing its interaction with electromagnetic (EM) waves but also in determining its mechanical properties. Among various EM models, the Jonscher universal dielectric response has been favored by scientists and practitioners in...

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Vydáno v:	IEEE access Ročník 13; s. 142635 - 142650
Hlavní autoři:	Angiulli, Giovanni, Versaci, Mario
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Piscataway IEEE 2025 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	Algorithms Approximation algorithms complex dielectric permittivity Concrete Convergence Dielectrics Electromagnetic properties Electromagnetics Jonscher model Least squares method Mathematical models Mechanical properties Numerical methods Numerical models Optimization Optimization algorithms optimization-based methods Permittivity Solid modeling
ISSN:	2169-3536, 2169-3536
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Abstract	The dielectric permittivity model of concrete plays a key role in characterizing its interaction with electromagnetic (EM) waves but also in determining its mechanical properties. Among various EM models, the Jonscher universal dielectric response has been favored by scientists and practitioners in the field for the above purposes. Despite its widespread use, to the best of our knowledge, no study has focused its attention on the problem of choosing the most appropriate numerical method and the related starting point solution to solve the nonlinear least squares problem for fitting the Jonscher model to the experimental data. In this work, considering their broad adoption within software packages such as R, Python, or MATLAB, the performances of the Nelder-Mead, the Broyden-Fletcher-Goldfarb-Shanno, and the Levenberg-Marquardt nonlinear optimization algorithms have been compared among them to obtain practical guidance on which nonlinear optimization procedure to choose and how to generate a valid initial guess solution to achieve optimal fitting with the experimental data.
AbstractList	The dielectric permittivity model of concrete plays a key role in characterizing its interaction with electromagnetic (EM) waves but also in determining its mechanical properties. Among various EM models, the Jonscher universal dielectric response has been favored by scientists and practitioners in the field for the above purposes. Despite its widespread use, to the best of our knowledge, no study has focused its attention on the problem of choosing the most appropriate numerical method and the related starting point solution to solve the nonlinear least squares problem for fitting the Jonscher model to the experimental data. In this work, considering their broad adoption within software packages such as R, Python, or MATLAB, the performances of the Nelder-Mead, the Broyden-Fletcher-Goldfarb-Shanno, and the Levenberg-Marquardt nonlinear optimization algorithms have been compared among them to obtain practical guidance on which nonlinear optimization procedure to choose and how to generate a valid initial guess solution to achieve optimal fitting with the experimental data.
Author	Versaci, Mario Angiulli, Giovanni
Author_xml	– sequence: 1 givenname: Giovanni orcidid: 0000-0002-3153-9338 surname: Angiulli fullname: Angiulli, Giovanni email: giovanni.angiulli@unirc.it organization: Department of Information Engineering, Infrastructures and Sustainable Energy, Mediterranea University of Reggio Calabria, Reggio Calabria, Italy – sequence: 2 givenname: Mario orcidid: 0000-0003-3837-6671 surname: Versaci fullname: Versaci, Mario organization: Department of Civil, Energetic, Environmental and Material Engineering, Mediterranea University of Reggio Calabria, Reggio Calabria, Italy
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SubjectTerms	Algorithms Approximation algorithms complex dielectric permittivity Concrete Convergence Dielectrics Electromagnetic properties Electromagnetics Jonscher model Least squares method Mathematical models Mechanical properties Numerical methods Numerical models Optimization Optimization algorithms optimization-based methods Permittivity Solid modeling
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Title	Electromagnetic Characterization of Concrete by Jonscher Universal Dielectric Model: Numerical Validation of Different Nonlinear Optimization Algorithms
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