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 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 …

Inverse problem of shape identification from boundary measurement for Stokes equations: Shape differentiability of Lagrangian

VA Kovtunenko, K Ohtsuka - Journal of Inverse and Ill-posed …, 2022 - degruyter.com
For Stokes equations under divergence-free and mixed boundary conditions, the inverse
problem of shape identification from boundary measurement is investigated. Taking the least …

Computer design of cylindrical cloaking shell for the magnetostatics model

YE Spivak - Дальневосточный математический журнал, 2022 - mathnet.ru
The problem of designing multilayer cylindrical radially anisotropic and isotropic shielding
cloaks is investigated. Using the optimization method the design problem is reduced to finite …

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 …

Modeling and computer design of magnetic invisibility devices

GV Alekseev, JE Spivak… - 2020 International Multi …, 2020 - ieeexplore.ieee.org
An efficient numerical algorithm for solving a two-dimensional magnetic cloaking problem
based on an optimization method is proposed. It is assumed that a cloaking device has the …