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[en] In this work, we present and analyze the numerical stability of two coupled finite element formulations. The first one is the \haf and is well suited for modeling systems with superconductors and ferromagnetic materials. The second one, the so-called \taf with thin-shell approximation, applies for systems with thin superconducting domains. Both formulations involve two coupled unknown fields and are mixed on the coupling interfaces. Function spaces in mixed formulations must satisfy compatibility conditions to ensure stability of the problem and reliability of the numerical solution. We propose stable choices of function spaces using hierarchical basis functions and demonstrate the effectiveness of the approach on simple 2D examples.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Dular, Julien ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Electronique et microsystèmes
Harutyunyan, Mané; Technical University of Darmstadt, Germany > Computational Electromagnetics
Bortot, Lorenzo; Technical University of Darmstadt, Germany > Computational Electromagnetics
Schöps, Sebastian; Technical University of Darmstadt, Germany > Computational Electromagnetics
Vanderheyden, Benoît ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Electronique et microsystèmes
Geuzaine, Christophe ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Language :
English
Title :
On the Stability of Mixed Finite-Element Formulations for High-Temperature Superconductors
Publication date :
26 July 2021
Journal title :
IEEE Transactions on Applied Superconductivity
ISSN :
1051-8223
Publisher :
Institute of Electrical and Electronics Engineers, United States - New York
Volume :
31
Issue :
6
Peer reviewed :
Peer Reviewed verified by ORBi
Tags :
CÉCI : Consortium des Équipements de Calcul Intensif
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