Electromagnetic forces and their finite element computation

finite elements; magnetic forces; maxwell stress tensor; Conceptual frameworks; Differential geometry; Electromagnetic forces; Finite element; Finite element computational electromagnetism; Finite element computations; Magnetic force; Maxwell stress tensors; Multi-physics; Thermodynamic approaches; Modeling and Simulation; Computer Science Applications; Electrical and Electronic Engineering

Abstract :

[en] This paper introduces the concepts of differential geometry that are necessary to establish a systematic definition for electromagnetic forces by means of a natural thermodynamic approach. It is shown that standard electromagnetic force formulae used in finite element computational electromagnetism are particular instances of that general approach. Finally, the paper offers a complete conceptual framework, as well as a mathematical toolbox, to derive electromagnetic force formulae for multi-physics finite element models with complex materials.

Disciplines :

Mathematics
Electrical & electronics engineering

Author, co-author :

Henrotte, François ; Université de Liège - ULiège > Département d'électricité, électronique et informatique (Institut Montefiore) > Applied and Computational Electromagnetics (ACE)

Geuzaine, Christophe ; Université de Liège - ULiège > Département d'électricité, électronique et informatique (Institut Montefiore) > Applied and Computational Electromagnetics (ACE)

Language :

English

Title :

Electromagnetic forces and their finite element computation

Publication date :

September 2024

Journal title :

International Journal of Numerical Modelling

ISSN :

0894-3370

eISSN :

1099-1204

Publisher :

John Wiley and Sons Ltd

Volume :

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://onlinelibrary.wiley.com/doi/pdf/10.1002/jnm.3290

Available on ORBi :

since 13 June 2025

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Bibliography

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