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2021-03-08 - Article/Dans un journal avec peer-review - Anglais - 4 page(s)

Lobry Jacques , "A New FEM-BEM Coupling for the 2-D Laplace Problem" in IEEE Transactions on Magnetics, 57, 6, 2021

  • Edition : Institute of Electrical and Electronics Engineers (NJ)
  • Codes CREF : Diélectriques (DI2471), Equations différentielles et aux dérivées partielles (DI1127), Electricité (DI1230)
  • Unités de recherche UMONS : Physique Générale (F901)
  • 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 hybrid finite element method–boundary element method (FEM–BEM) scheme is proposed for the solution of the nonlinear 2-D Laplace problem. The novelty is an original approach of the BEM where the domain integrals are eliminated at the discrete level by using the FEM approximation of the fundamental solution at every node of the related mesh in the linear regions. The implementation of this FEM-Green approach requires less computational burden than the standard BEM. The coupling with FEM is straightforward and appears to be more natural. The validity of the method is examined through numerical examples.

(Anglais) A new hybrid finite element method–boundary element method (FEM–BEM) scheme is proposed for the solution of the nonlinear 2-D Laplace problem. The novelty is an original approach of the BEM where the domain integrals are eliminated at the discrete level by using the FEM approximation of the fundamental solution at every node of the related mesh in the linear regions. The implementation of this FEM-Green approach requires less computational burden than the standard BEM. The coupling with FEM is straightforward and appears to be more natural. The validity of the method is examined through numerical examples.