Homogenization of Maxwell's Equations in Domains with Dense Perfectly Conducting Grids

dc.contributor.author	Khruslov, E.Ya.
dc.date.accessioned	2017-09-29T14:29:41Z
dc.date.available	2017-09-29T14:29:41Z
dc.date.issued	2005
dc.identifier.citation	Homogenization of Maxwell's Equations in Domains with Dense Perfectly Conducting Grids / E.Ya. Khruslov // Український математичний вісник. — 2005. — Т. 2, № 1. — С. 109-142. — Бібліогр.: 14 назв. — англ.	uk_UA
dc.identifier.issn	1810-3200
dc.identifier.other	2000 MSC. 35B27, 78M40
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/124586
dc.description.abstract	We consider Maxwell’s equations in domains that are complements to connected, grid-like sets formed by intersecting thin wires. We impose the boundary conditions that correspond to perfectly conducting wires, and study the asymptotic behavior of solutions as grids are becoming thinner and denser. We derive a homogenized system of equations describing the leading term of the asymptotics. Assuming that a Korn-type inequality holds, we validate the homogenization procedure.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Український математичний вісник
dc.title	Homogenization of Maxwell's Equations in Domains with Dense Perfectly Conducting Grids	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA