Convergence of Electromagnetic Problems Modelled by
Discrete Geometric Approach
Lorenzo Codecasa; and Francesco Trevisan;

Source CMES: Computer Modeling in Engineering & Sciences, Vol. 58, No. 1, pp. 15-44, 2010
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Keywords Cell Method; Finite Integration Technique; Discrete Constitutive Relations; Convergence Analysis
Abstract This paper starts from the spatial discretization of an electromagnetic problem over pairs of oriented grids, one dual of the other, according to the so calledDiscrete Geometric Approach(DGA) to computational electromagnetism; the Cell Method or the Finite Integration Technique are examples of such an approach. The core of the work is providing for the first time a convergence analysis when the discrete counter-parts of constitutive relations are computed by means of an energetic framework.
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