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arxiv: 1307.4002 · v2 · pith:LHBSE2GLnew · submitted 2013-07-15 · 🧮 math.AP

Asymptotic Approximation of the Dirichlet to Neumann Map of High Contrast Conductive Media

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keywords asymptoticcontrastdirichlethighmedianeumannapproximationcharacterization
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We present an asymptotic study of the Dirichlet to Neumann map of high contrast composite media with perfectly conducting inclusions that are close to touching. The result is an explicit characterization of the map in the asymptotic limit of the distance between the particles tending to zero.

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