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\(G\)-convergence, Dirichlet to Neumann maps and invisibility - MaRDI portal

\(G\)-convergence, Dirichlet to Neumann maps and invisibility (Q403330)

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scientific article; zbMATH DE number 6335942
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\(G\)-convergence, Dirichlet to Neumann maps and invisibility
scientific article; zbMATH DE number 6335942

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    \(G\)-convergence, Dirichlet to Neumann maps and invisibility (English)
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    29 August 2014
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    This paper deals with some qualitative problems concerning \(G\)-convergence, Dirichlet-to-Neumann maps and invisibility. The authors establish sharp conditions which imply that the \(G\)-convergence of linear elliptic operators implies the convergence of the corresponding Dirichlet-to-Neumann maps. The abstract results are applied to show that the approximate cloaking isotropic materials are independent of the source.
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    inverse conductivity problem
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    invisibility
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    \(G\)-convergence
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    Dirichlet-to-Neumann map
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