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We study the behaviour of the steady-state voltage potential in a material composed of a two-dimensional object surrounded by a rough thin layer and embedded in an ambient medium. The roughness of the layer is supposed to be
–periodic, being the magnitude of the mean thickness of the layer, and a positive parameter describing the degree of roughness. For tending to zero, we determine the appropriate boundary layer correctors which lead to approximate transmission conditions equivalent...
Electroporation consists in increasing the permeability of a tissue by applying high
voltage pulses. In this paper we discuss the question of optimal placement and optimal
loading of electrodes such that electroporation holds only in a given open set of the
domain. The electroporated set of the domain is where the norm of the electric field is
above a given threshold value. We use a standard gradient algorithm to optimize the
loading of the electrodes...
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