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Tamtam Proceedings - lamsin

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308 Ben Dhiamaj. princ. σFigure 1. a zoomed tyre by the Arlequin method2005.[2] BEN DHIA H., « Multiscale mechanical problems : the Arlequin method », Comptes Rendusde l’Académie des Sciences Série IIb, vol. 326, 1998 : 899–904.[3] BEN DHIA H., « Numerical modelling of multiscale problems : the Arlequin method », In CD<strong>Proceedings</strong> of ECCM’99, Munchen, 1999.[4] BEN DHIA H., ZARROUG M., « Contact in the Arlequin framework », In Contact Mechanics,Martins JAC, Monteiro Marques MDP (eds) ; Kluwer Academic Publishers, 2001 : 401–410.[5] BEN DHIA H., RATEAU G., « Application of the Arlequin method to some structures withdefects », Revue Européenne des éléments finis, vol. 11, n o 2-3-4, 2002 : 291–304.[6] BEN DHIA H., ZAMMALI C., « Level-Sets ans Arlequin framework for dynamic contact problems», Revue Européenne des éléments finis, vol. 13, numbername5-6-7, 2004 : 403–414.[7] STEGER JL., BENEK JA., « On the use of composite grid schemes in computational aerodynamics», Computer Method in Applied Mechanics and Engineering, vol. 64, 1987 : 301–320.[8] BEN DHIA H., RATEAU G., « Mathematical analysis of the mixed Arlequin method », ComptesRendus de l’Académie des Sciences Paris Série I, vol. 332, 2001 : 649–654.[9] RUDIN W., « Functional Analysis », McGraw Hill, 1973.[10] RAVIART PA., THOMAS JM., « Primal hybrid finite element methods for second order ellipticequations », Mathematics of Computation, vol. 31, 1977 : 391–396.[11] BREZZI F., « On the existence, uniqueness and approximation of saddle-point problems arisingform Lagrangian multipliers », R.A.I.R.O., Anal.Numér., vol. 8, R2, 1974 : 129–151.[12] GLOWINSKI R., HESLA T., JOSEPH D., PERIAUX J., « A distributed Lagrange multiplier/fictituous domain method for the simulation of flow arround moving rigid bodies : applicationto particule flow », Computer methods in applied mechanics and engineering, vol. 184, 2000 :241–267.TAMTAM –Tunis– 2005

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