Open Access

ARTICLE

Convergence of Electromagnetic Problems Modelled by Discrete Geometric Approach

Lorenzo Codecasa¹, Francesco Trevisan²

1 Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milan, Italy
2 Università di Udine, Via delle Scienze 208, I-33100 Udine, Italy

Computer Modeling in Engineering & Sciences 2010, 58(1), 15-44. https://doi.org/10.3970/cmes.2010.058.015

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 called Discrete 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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Keywords

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