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

• Published in: Український математичний вісник
• Date: 2005
• Main Author: Khruslov, E.Ya.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124586
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...