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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

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.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01443398
Contributor : Magalie Prudon <>
Submitted on : Monday, January 23, 2017 - 10:31:27 AM
Last modification on : Wednesday, October 14, 2020 - 3:59:26 AM

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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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