. Tne, 3: Fonctions de Green modifiêes pour les symétries

J. L. Coulomb and J. C. Sabonnadière, Eléments finis et CAO en électrotechnique, Hermes publishing, 1985.

G. Dhatt and G. Touzot, Une présentation de Ia méthode des éléments finis, 1984.

W. G. Rosser, Classical electromagnetism uia relatiuity : an altermati,ue approach to Mo,xwells equations, 1968.

L. Landau and E. Lifchitz, Electrodynamique iles milieun continus, 1969.

A. L. Bossavit, K. Kettunen, A. Forsma, and . Bossavit, Le calcul des courants de Foucault en trois dimensions, en présence de corps à haute perméabilité magnétiqueFormulation of the eddy current problem in multiply connected regions in terms of h, Reaue de Physique Appliquée Intemtational joumal lor numerical methods in engineering, pp.1147-1205, 1988.

A. Bossavit, Le calcul des courants de Foucault en dimension 3, avec le champ ??lectrique comme inconnue. I : Principes, Reuu,e de Physique Appliquée, pp.189-197, 1990.
DOI : 10.1051/rphysap:01990002502018900

O. Biro, K. Preis, W. Renhart, G. Vrisk, and F. R. Richter, Computation of 3D current driven skin effect problems using a current vector potential, IEEE Trans. on Mag, vol.29, pp.325-1332, 1993.

J. L. Coulomb, Analyse tri,ilimensi,onnelle des champs électri,ques et magnétiques par la méthode d,es éléments "fnfs, Thèse, 1981.

O. Biro and K. Preis, On the use of the magnetic vector potential in the finite-element analysis of three-dimensional eddy currents, IEEE Transactions on Magnetics, vol.25, issue.4, pp.3145-3149, 0989.
DOI : 10.1109/20.34388

R. Albanese and G. Rubinacci, Magnetostatic field computations in terms of two-component vector potentials, International Journal for Numerical Methods in Engineering, vol.21, issue.3, pp.515-532, 1990.
DOI : 10.1002/nme.1620290305

K. Srairi, B. Benjima, M. Feliachi, and G. Develey, Numerical and experimental studies of a linear electromagnetic actuator supplied by capacitor discharge voltages, IEEE Transactions on Magnetics, vol.33, issue.2, pp.2061-2064
DOI : 10.1109/20.582721

S. M. , T. Miya, and M. Hubbard, Electromagnetic field analysis and dynamic simulation of a two-valve solenoid actuator, IEEE Trans. on Mag, vol.29, issue.2, pp.74-746, 1993.

L. Erping and P. M. Mcewan, Analysis of a circuit breaker solenoid actuator system using the decoupled CAD-FE-integral techniqtd, IEEE hans. on Mag, vol.28, pp.279-1282, 1998.

T. Dreher, Couplage de le méthode iles éIéments fini,s tridi,mensionnels auec une méthode d'analyse du circuit électrique : application à Ia modélisation des mach'i,nes électrùques tournantes, Thèse de doctorat, INPG, 1994.

S. Bouissou, F. Piriou, C. Kieng, and G. Tanneau, Numerical simulation of a power transformer using 3D finite element method coupled to circuit equation, IEEE Transactions on Magnetics, vol.30, issue.5, pp.3224-3227, 1994.
DOI : 10.1109/20.312624

S. Bouissou and F. Piriou, Comparison between two formulations in terms of potential for the coupling of magnetic a,nd electric circuit equations, lEE Proceedings, pp.486-490

C. Golovanov, Déueloppement de formulations élérnents finis 3D en potentiel aecteur magnéti,que : applicati,on à la simulati,on de disposi,tifs électromagnétiques en nlouaement, Thèse de doctorat, 1997.

. Huu-t\ran and . Luong, Amélioration de la formulation en potentiel scalaire rnagnéti ,que et générali,sati,on au couplage entre équations de champ et ile circuit électri,que, Thèse de doctorat, 1997.

J. S. Wang, A nodal analysis approach for 2D and 3D magnetic-circuit coupled problems, IEEE Tfans. on Mag, vol.32, issue.3, pp.1857-1860, 1996.

G. Meunier, S. Salon, J. L. Coulomb, and L. Krâhenbiihl, Hybrid finite element -bounda^ry element solutions for 3D scalar potential problems, IEEE Trans. on Mag, vol.22, issue.5, p.986

O. I27l, K. Biro, G. Preis, K. R. Vrisk, I. Richter et al., Computation of 3D magnetostatic fields using a reduced scalar potential, IEEE Trons.on Mag, vol.29, issue.2, pp.329-1332, 1993.

P. Lombard and G. Meunier, A general purpose method for electric and magnetic combined problems for 2D, axisymmetric and transient systems, IEEE Trans. on Mag, vol.29, pp.737-740, 1993.

L. D. Landau and E. Lifchitz, Physique theorique : Mecanique, 1966.

C. Golovanov, J. L. Coulomb, Y. Ma, and G. Meunier, 3D mesh connection techniques applied to movement simulation, IEEE Transactions on Magnetics, vol.34, issue.5, pp.3359-3362, 1998.
DOI : 10.1109/20.717790

T. Tarhasaari, K. Forsma, A. Koski, and L. Kettunen, Hybrid formulations for eddy current problem with moving objects, IEEE Transactions on Magnetics, vol.34, issue.5, pp.2660-2663
DOI : 10.1109/20.717616

J. Forsman, K. Kangas, J. Salonen, A. Arkko, and L. Kettunen, Properties of 3D magnetostatic hybrid formulations, IEEE Transactions on Magnetics, vol.34, issue.5, pp.2437-2440, 1997.
DOI : 10.1109/20.717560

Z. P1l, A. Ren, and . Razek, A strong coupled model for a^nalysing dynamic behaviours of non-linear electromechanical systems, IEEE Trans. on Mag, vol.30, issue.5, pp.3252-3255, 1994.

J. Stoer and R. Burlisch, Introduction to Numeri,cal Analysis, 1994.

N. Reddy, An 'i,ntroduction to the Finite Element Method, 1985.

E. Vassent, Contributi,on à Ia modélisat'ion des moteurs asynchrônes par la méthode des éléments fnfs, Thèse de doctorat, 1990.

A. Nicolet and F. Delincé, Implicit Runge-Kutta methods for transient magnetic field computation, IEEE Transactions on Magnetics, vol.32, issue.3, pp.1405-1408, 1996.
DOI : 10.1109/20.497510

F. Cameron, R. Piché, and K. Forsman, Variable step size time integration methods for transient eddy current problems, IEEE Transactions on Magnetics, vol.34, issue.5, pp.33-42, 1998.
DOI : 10.1109/20.717780

P. I42l, G. Lombard, and . Meunier, A general purpose method for electric and magnetic combined problems for 2D, axisymetric and transient systems, IEEE Trans. on Mag, vol.29, issue.2, pp.737-740, 1993.

S. Brisset, Outil et méthodologi,e pour Ia conception iles moteurs à réluctance uaraible à double saillance, Thèse de doctorat, 1995.

J. Brauer, B. E. Macneal, L. A. Larkin, and V. D. Overbye, New method of modeling electronic circuits coupled with 3D electromagnetic finite element models, IEEE Transactions on Magnetics, vol.27, issue.5, pp.4085-4088, 1991.
DOI : 10.1109/20.104999

A. A. Razek, J. L. Coulomb, M. Feliachi, and J. C. Sabonadière, Conception of an air-gap element for the dynamic analysis of the electromagnetic field in electric machines, IEEE Transactions on Magnetics, vol.18, issue.2, pp.655-659, 1982.
DOI : 10.1109/TMAG.1982.1061898

B. Davat, Z. P. , and M. Lajoie-mazenc, The movement in field modeling, IEEE Transactions on Magnetics, vol.21, issue.6, pp.2296-2298
DOI : 10.1109/TMAG.1985.1064185

B. I47l, A. Buffa, F. Rapetti, and Y. Madas, Calculation of eddy currents in moving structures by a sliding mesh-finite elements method, COMPUMAG, pp.368-369, 1999.

M. Jarnieux, D. Grenier, G. Reyne, and G. Meunier, FEM computation of eddy current and forces in moving systems; application to linear induction launcher, IEEE Transactions on Magnetics, vol.29, issue.2, pp.1989-1992, 1993.
DOI : 10.1109/20.250799

C. Hérault, Vers une simulation sans maillage iles phénomènes électromagnétiques, Thèse de doctorat, INPG, 2000.

S. J. Salon, Ihe hybrid finite element -boundary element method in electromagnetics, IEEE lTans. on Mag, vol.21, issue.5, pp.1040-1042, 1985.

S. Krrz, J. Fetzer, G. Lehner, and W. M. Rucker, A novel formulation for 3D eddy current problems with moving bodies using a Lagrangian description and BEM-FEM coupling, IEEE Transactions on Magnetics, vol.34, issue.5, pp.3068-3073, 1998.
DOI : 10.1109/20.717718

K. Tani, T. Yamada, and Y. Kawase, A new technique for 3D dynamic finite element analysis of electromagnetic problems with relative movement, IEEE Transactions on Magnetics, vol.34, issue.5, pp.3371-3374, 1998.
DOI : 10.1109/20.717793

Y. Kawase, T. Yamaguchi, M. Yoshida, and K. Hirata, 3D finite element analysis of rota.ry oscillatory actuator using a new auto mesh method, Proceedings of CEFC', p.401, 2000.

J. Mackerle and C. A. Brebbia, The bounilary element reference ôook, Computational Mechanics, 1988.

X. Brunotte, Modéli,sation de l'infini et Ttrise en compte d,e regi,ons rnagnétiques m'i,nces. Appli,cation à Ia modélisati,on iles aimantations iles nauire.s, Thèse de doctorat, 1991.

F. Bouillault and A. Razek, Hybrid numerical methods for movement consideration in electromagnetic systems, IEEE Transactions on Magnetics, vol.24, issue.1, pp.259-261, 1988.
DOI : 10.1109/20.43906

B. Ancelle, Emploi, de Ia méthode des équations intégrales de fronti,ère et mise en oeuare de la conception assistée par orilinateur tlans Ie calcul d,es systèmes éIectromagnétiques, Thèse d'état es-science, 1979.

Z. I59l, F. Ren, A. Bouillault, J. C. Razek, and . Vérité, Comparison of different boundary integral formulations when coupled with finite elements in three dimensions, IEE proceedings, vol.135, pp.501-507, 1988.

L. Pichon and A. Raaek, Hybrid finite-element method and bounda^ry-element method using time-stepping for eddy current calculation in axisymmetric problems, IEE Proceeilings, vol.136, issue.4, pp.217-222, 1989.

B. Haghi-ashtiani, Méthodes il'assemblage rapide et d,e résoluti,on itératiae pour un solueur ailaptatif en équations intégrales de frontières ilestiné à l'électromagnétisme, Thèse de doctorat, 1998.

K. Hayami, High precision numerical integration methods for 3D boundary element analysis, IEEE Trans. on Mag, vol.26, issue.2, 1990.

J. C. Huber, W. M. Rucker, R. Hoschek, and K. R. Richter, A new method for the numerical calculation of Cauchy principal value integrals in BEM applied to electromagnetics, IEEE Transactions on Magnetics, vol.33, issue.2, pp.1386-1389, 1997.
DOI : 10.1109/20.582515

G. Carron-de-la-morinais, Contri,bution à la moiléIisation des phénomènes rnagnétodynamiques en I dimens'ions, Thèse de doctorat, 1990.

J. L. Coulomb and G. Meunier, Finite element implementation of virtual work principle for magnetic or electric force and torque computation, IEEE Transactions on Magnetics, vol.20, issue.5, pp.1894-1896, 1984.
DOI : 10.1109/TMAG.1984.1063232

H. A. Woodson, J. R. Melcher, and E. Dynami, cs -Part, II : fields, forces and motion, John Wiley and sonsComparison of different force calculation methods in 3D finite element modelling, Z. Ren IEEE Trans. on Mag, vol.30, issue.5, pp.3471-3474, 1990.

J. Fetzer, S. Kurz, G. Lehner, and M. Rucker, Some aspects of force computation using FEM-BEM coupling, 7th Intemati,onal IGTE Sympos'àum, t996, pp.336-340

J. P. Yonnet, Etud,e des pali,ers magnétiques passifs, Thèse de doctorat, ïnstitut National Polytechnique de Grenoble, 1980.

G. Akoun and J. P. Yonnet, 3D analytical calculation of the forces exerted between two cuboidal magnets, IEEE Transactions on Magnetics, vol.20, issue.5, pp.7962-1964, 1984.
DOI : 10.1109/TMAG.1984.1063554

J. Y. Talon, Génération et améli,orati,on il,e maillages 2D et 3D pour éIéments fnrs, Thèse de doctorat,INPG, 1989.

P. L. George, F. Hecht, and E. Satel, Automatic mesh generator with specified boundary, Computer Methods in Applied Mechanics and Engineering, vol.92, issue.3, pp.269-288, 1991.
DOI : 10.1016/0045-7825(91)90017-Z

R. Lohner, '?rogress in grid generation via advancing front tedrnique, Engineeri ,ng with computers, pp.186-210, 1996.

P. Moller and P. Hansbo, On advancing front mesh generation in three dimensions, International Journal for Numerical Methods in Engineering, vol.42, issue.21, pp.3551-3569, 1995.
DOI : 10.1002/nme.1620382102

T. Coupez, Grandes transformations et remaillage automatique, Thèse de doctorat

B. Joe, Delaunay versus max-min solid angle triangulations for three' dimensional mesh generatiorl, International journal for numerical methods in engineering, vol.3, pp.987-997, 1991.

L. Kettunen and K. Forsman, lfetrahedral mesh generation in convex primitives, International joumal for numerical methoils in engineering, pp.99-117, 1995.

J. L. Coulomb, A methodology for the determination of global elctromechanical quantities from a finite element analysis and its application to the evaluation of magnetic forces,torques and stiffness, IEEE Trans. on Mag, vol.19, issue.6, 1983.

F. Hermeline, K. Shimada, and D. C. Gossard, Automatic triangula^r mesh generation of trimmed parametric surfaces for finite element analysis, pp.211-242, 1982.

V. Cingoski, R. Murakawa, K. Kaneda, and H. Yamashita, Automatic mesh generation in finite element analysis using dynamic bubble system, Journal of Applied Physics, vol.81, issue.8, pp.4085-4087, 1997.
DOI : 10.1063/1.365087

F. Bossen, Anisotropic mesh generation with particles, 1996.

M. Desbrun and M. P. Gascuel, Smoothed Particles: A new paradigm for animating highly deformable bodies, Tech. Rep
DOI : 10.1007/978-3-7091-7486-9_5

URL : https://hal.archives-ouvertes.fr/inria-00537534

S. Dufour, G. Vinsard, and B. Laporte, 2D adaptive mesh with movement, Proceedings of CEFC'2000 Milwaulçee, p.322

J. Ruppert, A new and simple algorithm for quality-2D mesh generation, th ACM-SIAM Symp. on Discrete Algorithms, L993, pp.83-92

. G. Ph and . Ciarlet, The finite elernent methods for elliptic problems -Studies in mathematics and its applications, 1978.

J. B. Albertini, Contri,bution à la réalisation il'un logi,ciel de rnodéIisation de phénomènes électromagnétiques en 9D par la méthode des éIements finis : FLUXSD, Thèse de doctorat. INPG, 1988.

L. Saludjian, Optimisations en électrotechnique par algori,thmes généti,ques, Thèse de doctorat, 1997.

F. X. Zgainski, Un pré-processeur pour l'électromagnetisme, l'électromécanique et l'électroacousti,que, Thèse de doctorat, 1996.

C. Guérin, Detennination iles pertes par courants d,e Foucault dans les cuues de transformateurs : modelisation de regions minces et prise en compte de la saturation iles materiaur magnetiques en regime harmonique, Thèse de doctorat, 1994.

M. Perrault, Optimisation d'un déclencheur à noyau plongeur. Intérêt de I'approche PASCOSMA, DEA génie électrique, fnstitut National Polytechnique de Grenoble, 1998.

B. Roussin, Modélisation et optimisation d'un relais haute sensibilité. mise en évidence des courants de Foucault, DEA génie électrique, 1999.

V. Leconte, V. Mazauric, B. Roussin, and E. Atienza, Optimisation and sizing methodology for electromechanical actuators, Proceeilings of ICEM2000

V. Leconte, C. Hérault, Y. Maréchal, G. Meunier, and V. Mazauric, Optimal adaptation of a finite element mesh for large air-gap deformations, submi, 2000.

C. Hérault, V. Leconte, V. Mazauric, G. Meunier, and Y. Maréchal, Mesh quality improvement by bubble regularisation, Proceed,ings of CEFC2000, p.245

V. Leconte, G. Mazauric, Y. Meunier, and . Maréchal, Remeshing procedures compared to FEM-BEM coupling to simulate the transients of electromechanical devices, Proceeil'i,ngs of CEFC2000, p.227

V. Leconte, V. Mazauric, G. Meunier, and Y. Maréchal, Prise en compte des effets induits dans un relais electroméca^nique avec un couplage EF-EIF, Proceeili,ngs of NUMELEC2000, p.96

V. Leconte, C. Hérault, Y. Maréchal, G. Meunier, and V. Mazauric, Using buble meshing for large air-gap deformation{, Proceeilings of CEFC2000, p.318

V. Leconte, V. Mazauric, G. Meunier, and Y. Maréchal, Compa^ring FEM-BEM coupling to a remeshing technique to simulate the transients of an axisymmetrical plunger release, Proceedings of 8MF2000