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On some energy‐based variational principles in non‐dissipative magneto‐mechanics using a vector potential approach.

Authors :
Gebhart, Philipp
Wallmersperger, Thomas
Source :
International Journal for Numerical Methods in Engineering; 12/30/2024, Vol. 125 Issue 24, p1-19, 19p
Publication Year :
2024

Abstract

This contribution covers the variational‐based modeling of non‐dissipative magneto‐mechanical systems using a vector potential approach and the thorough analysis and discussion of corresponding conforming finite element methods. Since the construction of divergence‐free finite element spaces explicitly enforcing the Coulomb gauge poses some major challenges, we propose some primal and mixed variational principles that ensure well posedness of the problem and allow to seek the vector potential in unconstrained function spaces. The performance of these methods is assessed in two comparative benchmark studies. The focus of both studies lies on the accurate approximation of field quantities in systems with material discontinuities and re‐entrant corners. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00295981
Volume :
125
Issue :
24
Database :
Complementary Index
Journal :
International Journal for Numerical Methods in Engineering
Publication Type :
Academic Journal
Accession number :
181057170
Full Text :
https://doi.org/10.1002/nme.7593