Homogenization of Maxwell's Equations in Domains with Dense Perfectly Conducting Grids
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Homogenization of Maxwell's Equations in Domains with Dense Perfectly Conducting Grids
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| Creator |
Khruslov, E.Ya.
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| Description |
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.
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| Date |
2017-09-29T14:29:41Z
2017-09-29T14:29:41Z 2005 |
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| Type |
Article
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| Identifier |
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.
1810-3200 2000 MSC. 35B27, 78M40 http://dspace.nbuv.gov.ua/handle/123456789/124586 |
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| Language |
en
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| Relation |
Український математичний вісник
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| Publisher |
Інститут прикладної математики і механіки НАН України
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