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Weighted regularization for composite materials in electromagnetism

Patrick Ciarlet Jr.François LefèvreStéphanie LohrengelSerge Nicaise — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper, a weighted regularization method for the time-harmonic Maxwell equations with perfect conducting or impedance boundary condition in composite materials is presented. The computational domain is the union of polygonal or polyhedral subdomains made of different materials. As a result, the electromagnetic field presents singularities near geometric singularities, which are the interior and exterior edges and corners. The variational formulation of the weighted regularized problem is...

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