Homogenization of Maxwell's Equations in Domains with Dense Perfectly Conducting Grids
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...
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| Дата: | 2005 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
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| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/124586 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-124586 |
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dspace |
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irk-123456789-1245862017-09-30T03:03:45Z Homogenization of Maxwell's Equations in Domains with Dense Perfectly Conducting Grids Khruslov, E.Ya. 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. 2005 Article 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 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Khruslov, E.Ya. |
| spellingShingle |
Khruslov, E.Ya. Homogenization of Maxwell's Equations in Domains with Dense Perfectly Conducting Grids Український математичний вісник |
| author_facet |
Khruslov, E.Ya. |
| author_sort |
Khruslov, E.Ya. |
| title |
Homogenization of Maxwell's Equations in Domains with Dense Perfectly Conducting Grids |
| title_short |
Homogenization of Maxwell's Equations in Domains with Dense Perfectly Conducting Grids |
| title_full |
Homogenization of Maxwell's Equations in Domains with Dense Perfectly Conducting Grids |
| title_fullStr |
Homogenization of Maxwell's Equations in Domains with Dense Perfectly Conducting Grids |
| title_full_unstemmed |
Homogenization of Maxwell's Equations in Domains with Dense Perfectly Conducting Grids |
| title_sort |
homogenization of maxwell's equations in domains with dense perfectly conducting grids |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2005 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/124586 |
| citation_txt |
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. |
| series |
Український математичний вісник |
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AT khrusloveya homogenizationofmaxwellsequationsindomainswithdenseperfectlyconductinggrids |
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2023-10-18T20:46:42Z |
| last_indexed |
2023-10-18T20:46:42Z |
| _version_ |
1796151084370100224 |