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math.NA2018
From Domain Decomposition to Homogenization Theory
Daniel Peterseim, Dora Varga, Barbara Verfürth
This paper rediscovers a classical homogenization result for a prototypical linear elliptic boundary value problem with periodically oscillating diffusion coefficient. Unlike class…
math.AP2018
Mathematical analysis of transmission properties of electromagnetic meta-materials
Mario Ohlberger, Ben Schweizer, Maik Urban +1
We study time-harmonic Maxwell's equations in meta-materials that use either perfect conductors or high-contrast materials. Based on known effective equations for perfectly conduct…