Controlling mass and energy diffusion with metamaterials

F Yang, Z Zhang, L Xu, Z Liu, P Jin, P Zhuang… - Reviews of Modern …, 2024 - APS
Diffusion driven by temperature or concentration gradients is a fundamental mechanism of
energy and mass transport that inherently differs from wave propagation in both physical …

Particle swarm optimization-based algorithms for solving inverse problems of designing thermal cloaking and shielding devices

GV Alekseev, DA Tereshko - International journal of heat and mass transfer, 2019 - Elsevier
Inverse problems associated with designing cylindrical thermal layered shielding and
cloaking shells are studied. Using the optimization method these inverse problems are …

Optimization-based numerical analysis of three-dimensional magnetic cloaking problems

GV Alekseev, YE Spivak - Computational Mathematics and Mathematical …, 2021 - Springer
Inverse problems for a three-dimensional magnetostatic model arising in the design of
axisymmetric multilayered shielding and cloaking devices are stated. Assuming that the …

Optimization method in material bodies cloaking with respect to static physical fields

GV Alekseev, DA Tereshko - Journal of Inverse and Ill-posed …, 2019 - degruyter.com
Inverse problems associated with designing cylindrical DC electrical cloaking shells are
studied. Using the optimization method, these inverse problems are reduced to …

Optimization approach for axisymmetric electric field cloaking and shielding

GV Alekseev, DA Tereshko… - Inverse Problems in …, 2021 - Taylor & Francis
In this paper we study inverse problems of electric conductivity that arise in the design of
spherical shielding or cloaking shells and other functional devices used to control static …

Optimization method for axisymmetric problems of electric cloaking of material bodies

GV Alekseev, DA Tereshko - Computational Mathematics and …, 2019 - Springer
Inverse problems of designing spherical shells intended for cloaking material bodies in a
stationary electric field are studied. By applying an optimization method, these problems are …

Theoretical analysis and numerical implementation of a stationary diffusion–drift model of polar dielectric charging

RV Brizitskii, NN Maksimova… - … and Mathematical Physics, 2022 - Springer
The global solvability and local uniqueness of the solution of a boundary value problem for
the model of electron-induced charging of polar dielectrics are proved. The model is …

Inverse problems for the diffusion–drift model of charging of an inhomogeneous polar dielectric

RV Brizitskii, NN Maksimova… - … and Mathematical Physics, 2023 - Springer
The problems of reconstructing the unknown parameters of the model of electron-induced
charging of an inhomogeneous polar dielectric from additional information about the volume …

Optimization analysis of electrostatic cloaking problems

GV Alekseev, AV Lobanov - Journal of Applied and Industrial Mathematics, 2020 - Springer
Under consideration are the inverse problems of electrostatics which arise in designing two-
dimensional multilayer shielding and cloaking devices. Using optimization, we reduce these …

Inverse problem of recovering the electron diffusion coefficient

NN Maksimova, RV Brizitskii - Дальневосточный математический …, 2022 - mathnet.ru
Inverse problem of recovering the electron diffusion coefficient Page 1 Far Eastern Mathematical
Journal. 2022. V. 22. No 2. P. 201–206 UDC 517.95 MSC2020 35A07 + 35G30 + 35R30 c NN …