Analyse numerique d'une formulation mixte de Ia magnetostatique lineaire
Keywords:
magnetostatic, mixed .finite elements, inf sup conditionAbstract
/11 this paper. we study magnetostatic problem. We establish a mixed formulation in magnetostatics and we show that the problem is well-posed with Brezzi-Babuslw theory, an inf-sup condition is proved. A mixed Raviart-Thomasjinite element method of minimal order is used to approximate the continuous problem in H(div) x L2 . Numerical tests are implemented to validate the method. First, we consider a sphere in a homogeneous source field then a domain in which the permeability is not constant.
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References
[BRE 91] BREZZI F., FORTIN M ., Mixed and hybrid finite element methods, SpringerVerlag,
New-York, 1991.
[DUR 68] DURAND E., Magnitostatique, Masson, Paris, Dunod 1968.
[GIR 86] GIRAULT Y., RAVIART P. A., Finite element methods for Navier-Stokes equations,
Springer-Verlag, Berlin - Heidelberg - New York - Tokyo, 1986.
[KIK 89] KIKUCHI F., "Mixed formulations for finite element analysis ofmagnetostatic and
electrostatic problems", Japan 1. Appl. Math. 6, 1989, p 209-221.
[TROU 90] TROUVE P., "Les methodes variationnelles pour I' analyse et I' approximation
des equations de Ia physique mathematique: les problemes aux Iimites du type elliptique",
Revue Technique, Tlwmson-CSF, vol 22, mars 1990.
