Hollaus, K., & Schobinger, M. (2022). Multiscale Finite Element Formulations for 2D/1D Problems. In S. BARMADA, Elsherbeni Atef, & Aaen Peter (Eds.), Proceedings 2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC) (pp. 1–2). IEEE. https://doi.org/10.1109/CEFC55061.2022.9940831
2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC)
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Event date:
24-Oct-2022 - 26-Oct-2022
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Event place:
United States of America (the)
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Number of Pages:
2
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Publisher:
IEEE
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Peer reviewed:
Yes
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Keywords:
2D/1D multiscale finite element method MSFEM; Biot-Savart-field; eddy currents; edge effect; thin iron sheets
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Abstract:
Approaches for multiscale finite element methods (MSFEM) are proposed which are essentially more efficient while maintaining the accuracy of past 2D/1D approaches. They are based on a magnetic vector potential or a current vector potential. Known currents in conductors are replaced by their Biot-Savart-fields. Boundary conditions allow planes of symmetry. All presented approaches consider eddy currents and preserve the edge effect. A segment of a fictitious electrical machine has been studied to demonstrate the accuracy and the low computational costs of the 2D/1D MSFEMs.
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Project title:
Hochleistungs-Mehrskalen-Finite-Elemente-Methoden hp-MSFEMs: P 31926-N35 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF))
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Research Areas:
Mathematical and Algorithmic Foundations: 20% Modeling and Simulation: 80%
