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A new approach to solve complex valued systems arising from the solution of Maxwell equations in the frequency domain through real-equivalent formulations

Luca Marioni 1, 2 José-Rodolfo Alves Zapata 2, 1 Elie Hachem 2 François Bay 2
1 Transvalor
2 CEMEF - Centre de Mise en Forme des Matériaux
Abstract : The purpose of this article is to propose algebraic techniques to solve symmetric complex-valued systems. In particular, we focus on the systems which arise from the modeling of electromagnetic fields in the frequency domain. These systems usually present a very ill-conditioned number, so specific preconditioning techniques are supposed to be used. Finally, both analytical and numerical reference tests are proposed on the simple case of the magnetic field produced by a solenoid containing conductive or non-conducting materials.
Keywords : complex symmetric system edge finite elements electromagnetic fields finite elements method harmonic approach real equivalent formulation
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Journal articles
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Submitted on : Monday, January 23, 2017 - 10:31:27 AM
Last modification on : Wednesday, November 17, 2021 - 12:28:19 PM

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Luca Marioni, José-Rodolfo Alves Zapata, Elie Hachem, François Bay. A new approach to solve complex valued systems arising from the solution of Maxwell equations in the frequency domain through real-equivalent formulations. Numerical Linear Algebra with Applications, Wiley, 2016, pp.Early View. ⟨10.1002/nla.2079⟩. ⟨hal-01443398⟩

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