Numerical Analysis of Two-Dimensional Magnetic Cloaking Problems Based on an Optimization Method

Autor:	Yu. E. Spivak, Gennady Alekseev
Rok vydání:	2020
Předmět:	0209 industrial biotechnology Partial differential equation General Mathematics Numerical analysis 010102 general mathematics Isotropy Cloaking Particle swarm optimization 02 engineering and technology Inverse problem Cloaking device Magnetostatics 01 natural sciences 020901 industrial engineering & automation Applied mathematics 0101 mathematics Analysis Mathematics
Zdroj:	Differential Equations. 56:1219-1229
ISSN:	1608-3083 0012-2661
DOI:	10.1134/s0012266120090116
Popis:	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 has the form of a circular shell consisting of finitely many layers, each filled with a homogeneous isotropic medium. Using an optimization method, the inverse problems under consideration are reduced to finite-dimensional control problems in which the constant permeabilities of the layers play the role of control parameters. A numerical algorithm based on the particle swarm method is proposed for solving the control problems. Some properties of the algorithm proposed and of the resulting optimal solutions are established. Results of computational experiments are discussed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ee42818e9b1af181dd12363098efca86 https://doi.org/10.1134/s0012266120090116 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.