G-Convergence, Dirichlet to Neumann maps and invisibility

G-Convergence, Dirichlet to Neumann maps and invisibility
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DOI:
10.1016/j.jfa.2014.06.005
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发表时间:
2013-11
期刊:
arXiv: Analysis of PDEs
影响因子:
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通讯作者:
Daniel Faraco;Y. Kurylev;A. Ruiz
Daniel Faraco;Y. Kurylev;A. Ruiz
中科院分区:
其他
文献类型:
--
作者:
Daniel Faraco;Y. Kurylev;A. Ruiz

文献摘要

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建立了线性椭圆算子G-收敛蕴涵相应Dirichlet到Neumann映射收敛的最优条件。作为一个应用,我们证明了[19]中的近似隐身各向同性材料与源无关。
We establish optimal conditions under which theG-convergence of linear elliptic operators implies the convergence of the corresponding Dirichlet to Neumann maps. As an application we show that the approximate cloaking isotropic materials from [19] are independent of the source.