Optimization method for solving cloaking and shielding problems for a 3D model of electrostatics

G Alekseev, A Lobanov - Mathematics, 2023 - mdpi.com
Inverse problems for a 3D model of electrostatics, which arise when developing
technologies for designing electric cloaking and shielding devices, are studied. It is …

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 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 …

Numerical analysis of two-dimensional magnetic cloaking problems based on an optimization method

GV Alekseev, YE Spivak - Differential Equations, 2020 - Springer
We study inverse problems of magnetostatics that arise when designing two-dimensional
multilayered shielding and cloaking devices. It is assumed that the device to be designed …

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 …

Effective method for solving the problem of cloaking an axisymmetric model of electrostatics

GV Alekseev, AV Lobanov - … and Energy: Proceedings of SMART-ICAE …, 2022 - Springer
An efficient numerical algorithm for solving a cloaking problem for an axisymmetric model of
electrostatics is proposed and numerically implemented. The algorithm is based on the use …

Optimization analysis of 2D electrostatic shielding problems using radially anisotropic materials

G Alekseev, A Lobanov - AIP Conference Proceedings, 2023 - pubs.aip.org
The problem of designing 2D cylindrical shielding device consisting of isotropic and
anisotropic ring-like layers is studied. An efficient algorithm for its solving is proposed and …

Optimization Method of Solving 2-D Problems of Designing DC Electric Shields and Cloaks

AV Lobanov, YE Spivak, PA Savinov - SMART Automatics and Energy …, 2022 - Springer
We study inverse problems for the 2-D model of electrical conductivity that arise when
designing circular shielding or cloaking shells used to control static electric fields. It is …

Numerical solution of shielding problem for 3D model of electrostatics in the presence of anisotropic layer

AV Lobanov - Дальневосточный математический журнал, 2022 - mathnet.ru
An economical numerical algorithm for solving the problem of designing a shielding device
for a 3D model of electrostatics is proposed and implemented. The algorithm is based on the …

Оптимизационный анализ задач электростатической маскировки

ГВ Алексеев, АВ Лобанов - Сибирский журнал индустриальной …, 2020 - mathnet.ru
Рассматриваются обратные задачи электростатики, возникающие при проектировании
двумерных многослойных экранирующих и маскировочных устройств. C …