DI-UMONS : Dépôt institutionnel de l’université de Mons

Recherche transversale
Rechercher
(titres de publication, de périodique et noms de colloque inclus)
2021-07-14 - Article/Dans un journal avec peer-review - Anglais - page(s)

Lobry Jacques , "A FEM-Green Approach for Magnetic Field Problems with Open Boundaries" in Proceedings, 9, MDPI Mathematics 2021

  • Edition : Multidisciplinary Digital Publishing Institute (MDPI), Basel (Switzerland)
  • Codes CREF : Diélectriques (DI2471), Equations différentielles et aux dérivées partielles (DI1127), Electricité (DI1230)
  • Unités de recherche UMONS : Physique Générale (F901), Génie Electrique (F101)
  • Instituts UMONS : Institut de Recherche en Science et Ingénierie des Matériaux (Matériaux), Institut de Recherche en Energétique (Energie)
Texte intégral :

Abstract(s) :

(Anglais) A new finite element method/boundary element method (FEM/BEM) scheme is proposed for the solution of the 2D magnetic static and quasi-static problems with unbounded domains. The novelty is an original approach in the treatment of the outer region. The related domain integral is eliminated at the discrete level by using the finite element approximation of the fundamental solutions (Green’s functions) at every node of the related mesh. This “FEM-Green” approach replaces the standard boundary element method. It is simpler to implement because no integration on the boundary of the domain is required. Then, the method leads to a substantially reduced computational burden. Moreover, the coupling with finite elements is more natural since it is based on the same Galerkin approximation. Some examples with open boundary and nonlinear materials are presented and compared with the standard finite element method.