Substructuring preconditioners for the $Q_1$ mortar element method, Numerische Mathematik, vol.71, issue.4, pp.419-449, 1995. ,
DOI : 10.1007/s002110050152
Homogenization and two-scale convergence, SIAM J. Math. Anal, vol.23, issue.6, pp.1482-1518, 1997. ,
Substructuring preconditioners for the mortar method in dimension two, SIAM Journal of Numerical Analysis, vol.32, issue.2, pp.551-580, 1999. ,
Formulation and analysis of conserving algorithms for frictionless dynamic contact/impact problems, Computer Methods in Applied Mechanics and Engineering, vol.158, issue.3-4, pp.269-300, 1998. ,
DOI : 10.1016/S0045-7825(97)00256-9
URL : https://hal.archives-ouvertes.fr/hal-01435615
On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. part i : low-order methods for two model problems and nonlinear elastodynamics, Comput. Methods Appl. Mech. Engrg, vol.190, pp.20-212603, 2001. ,
On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. part ii : second-order methods, Comput. Methods Appl. Mech. Engrg, vol.190, pp.51-526783, 2001. ,
Mathematical methods of classical mechanics, 1989. ,
Une m??thode d'??l??ments finis hybrides en d??composition de domaines, ESAIM: Mathematical Modelling and Numerical Analysis, vol.29, issue.6, pp.749-764, 1995. ,
DOI : 10.1051/m2an/1995290607491
Analyse fonctionnelle appliquée, 1987. ,
The finite-element method with lagrangian multipliers, Numerische Mathematik, vol.20, pp.179-182, 1973. ,
Finite element procedures in engineering analysis On the design of energy preserving schemes for flexible, nonlinear multibody systems An energy decaying scheme for nonlinear dynamics of shells, Comput. Methods Appl. Mech. Engrg . Comput. Methods Appl. Mech. Engrg, vol.169, issue.191, pp.61-793099, 1982. ,
Integration of elastic multibody systems by invariant conserving/dissipating algorithms. I. Formulation, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.29-30, pp.3669-3699, 2001. ,
DOI : 10.1016/S0045-7825(00)00286-3
Robust integration schemes for flexible multibody systems An inf-sup test for shell finite elements. Computers and Structures Stability estimates of the mortar finite element method for 3-dimensional problems The mortar finite element method with lagrange multipliers Estimation of linear functionals on sobolev spaces with application to fourier transforms and spline interpolation Computational schemes for nonlinear elastodynamics The mortar element method for three dimensional finite element, BLP78] Bensoussan, Lions, and Papanicolaou. Homogeneization of periodic structures Brezzi and D. Marini. Error estimates for the three-field formulation with bubble stabilization. Math. Comp.BMP93] C. Bernardi, Y. Maday, and A.T. Patera. Asymptotic and numerical methods for partial differential equations with critical parameters, chapter Domain decomposition by the mortar element method, pp.3701-3733395, 1970. ,
Nonlinear partial differential equations and their applications., chapter A new nonconforming approach to domain decomposition : the mortar element method, pp.13-51, 1994. ,
A sliding mesh-mortar method for two dimensional eddy currents model for electric engines, pp.191-228, 2001. ,
Stability of Finite Elements under Divergence Constraints, SIAM Journal on Numerical Analysis, vol.20, issue.4, pp.722-731, 1983. ,
DOI : 10.1137/0720048
On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers. RAIRO Analyse Numérique, Série Rouge, pp.129-151, 1974. ,
Poincaré-friedrichs inequalities for piecewise H 1 functions, SIAM J. Numer. Anal, vol.41, issue.1, pp.306-324, 2003. ,
Korn's inequalities for piecewise H 1 vector fields, Mathematics of Computation, vol.73, pp.1067-1087, 2004. ,
Energy decaying scheme for non-linear beam models, Computer Methods in Applied Mechanics and Engineering, vol.134, issue.1-2, pp.37-56, 1996. ,
DOI : 10.1016/0045-7825(96)01030-4
Energy dissipative time finite elements for classical mechanics, Comput. Methods Appl. Mech. Engrg, vol.192, pp.2925-2947, 2003. ,
Mathematical Elasticity, 1988. ,
URL : https://hal.archives-ouvertes.fr/hal-01077424
IntroductionàIntroduction`Introductionà l'analyse numérique matricielle etàet`età l'optimisation . Dunod, 1992. ,
Numerical quadratures and mortar methods, Computational Science for the 21st Century, pp.119-128, 1997. ,
URL : https://hal.archives-ouvertes.fr/hal-00369528
Nonlinear finite element analysis of solids and structures, 1997. ,
Restricted delaunay triangulations and normal cycle, Proceedings of the nineteenth conference on Computational geometry , SCG '03, 2003. ,
DOI : 10.1145/777792.777839
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.324.5140
Eléments finis : théorie, applications, mise en oeuvre, of collection Mathématiques et Applications, 2002. ,
Theory and Practice of Finite Elements, of Applied Mathematical Series, 2004. ,
DOI : 10.1007/978-1-4757-4355-5
Application de la méthode des mortiersàmortiers`mortiersà la simulation pneumatique, 2004. ,
Conception et analyse d'´ eléments finis de coques minces adaptéstés`tésà l'inclusion dans un milieu tridimensionnel, 2002. ,
Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity, Computer Methods in Applied Mechanics and Engineering, vol.157, issue.1-2, pp.95-114, 1998. ,
DOI : 10.1016/S0045-7825(97)00216-8
Mortar methods with curved interfaces, Applied Numerical Mathematics, vol.54, issue.3-4, 2004. ,
DOI : 10.1016/j.apnum.2004.09.007
A method of finite element tearing and interconnecting and its parallel solution algorithm, International Journal for Numerical Methods in Engineering, vol.28, issue.6, pp.1205-1228, 1991. ,
DOI : 10.1002/nme.1620320604
A Robin???Robin preconditioner for advection???diffusion equations with discontinuous coefficients, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.9-11, pp.745-764, 2004. ,
DOI : 10.1016/j.cma.2003.11.003
Simulations of MHD flows with moving interfaces, Journal of Computational Physics, vol.184, issue.1, pp.163-191, 2003. ,
DOI : 10.1016/S0021-9991(02)00025-6
URL : https://hal.archives-ouvertes.fr/hal-00694626
Time integration and discrete hamiltonian systems, Journal of Nonlinear Science, vol.6, pp.449-467, 1996. ,
Exact energy and momentum conserving algorithms for general models in nonlinear elasticity, Comput. Methods Appl. Mech. Engrg, vol.190, pp.13-141763, 2000. ,
On the Mortar Finite Element Method, 1999. ,
Finite element methods for Navier-Stokes equations : theory and algorithms, 1986. ,
DOI : 10.1007/978-3-642-61623-5
Théorie des vibrations : applicationàapplication`applicationà la dynamique des structures, 1993. ,
Matrix computations Intégration en temps pour la dynamique hyperélastique des structures non-linéaires incompressibles Confidentiel industrie Improved numerical dissipation for time integration algorithms in structural dynamics Transient finite element formulations that preserve energy Geometric Numerical Integration Conservation analysis for integration schemes in quasi-incompressible nonlinear elastodynamics Dirichlet-neumann preconditioners for elliptic problems with small disjoint geometric refinements on the boundary A stabilized discontinuous mortar formulation for elastostatics and elastodynamics problems, part i : abstract framework A stabilized discontinuous mortar formulation for elastostatics and elastodynamics problems, part ii : discontinuous lagrange multipliers The Finite Element Method, Linear Static and Dynamic Finite Element Analysis Contact Mechanics, Mathematical Modelling and Numerical Analysis Hou and W-H. Wu. A multiscale finite element method for elliptic problems in composite materials and porous media, pp.663-680283, 1977. ,
Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems, International Journal for Numerical Methods in Engineering, vol.76, issue.10, pp.1295-1325, 1995. ,
DOI : 10.1002/1097-0207(20001210)49:10<1295::AID-NME993>3.0.CO;2-W
Computational contact and impact mechanics, 2002. ,
A hybrid method for the vibration analysis of complex structural-acoustic systems, The Journal of the Acoustical Society of America, vol.105, issue.3, p.1657, 1999. ,
DOI : 10.1121/1.426705
DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS, International Journal for Numerical Methods in Engineering, vol.37, issue.5, pp.863-886, 1997. ,
DOI : 10.1002/(SICI)1097-0207(19970315)40:5<863::AID-NME92>3.0.CO;2-V
URL : https://hal.archives-ouvertes.fr/hal-01435617
Modèles multi-´ echelles pour les fluides viscoélastiques, Ecole Nationale des Ponts et Chaussées, 2004. ,
Improved implicit integrators for transient impact problems?geometric admissibility within the conserving framework, International Journal for Numerical Methods in Engineering, vol.32, issue.2, pp.245-274, 2002. ,
DOI : 10.1002/nme.264
Improved implicit integrators for transient impact problems??????dynamic frictional dissipation within an admissible conserving framework, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.19, pp.2223-2248, 2003. ,
DOI : 10.1016/S0045-7825(03)00257-3
Non homogeneous boundary value problems and applications, 1972. ,
DOI : 10.1007/978-3-642-65161-8
A new solution procedure for application of energy-conserving algorithms to general constitutive models in nonlinear elastodynamics, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.46-47, pp.6309-6322, 2001. ,
DOI : 10.1016/S0045-7825(01)00257-2
Linear and Nonlinear Programming, 1984. ,
Mathematical Foundations of Elasticity, Journal of Applied Mechanics, vol.51, issue.4, 1983. ,
DOI : 10.1115/1.3167757
High order Runge-Kutta methods on manifolds, Applied Numerical Mathematics, vol.29, issue.1, pp.115-127, 1999. ,
DOI : 10.1016/S0168-9274(98)00030-0
A Schwarz alternating method in a subspace, Sov. Math, vol.29, pp.78-84, 1985. ,
Introduction to mechanics and symmetry, 1994. ,
The Influence of Quadrature Formulas in 2D and 3D Mortar Element Methods, Recent Developments in Domain Decomposition Methods, pp.203-221, 2002. ,
DOI : 10.1007/978-3-642-56118-4_13
Acta Numerica, chapter Discrete mechanics and variational integrators, pp.357-514, 2001. ,
DOI : 10.1017/s096249290100006x
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.218.9551
Les méthodes directes en théorie deséquationsdeséquations elliptiques, 1967. ,
An improved energy conserving implicit time integration algorithm for nonlinear dynamic structural analysis, Proceedings of the Fourth Conference on Structural Mechanics in Reactor Technology, 1977. ,
A new linear algorithm for intersecting convex polygons, Computer Graphics and Image Processing, vol.19, issue.4, pp.384-391, 1982. ,
DOI : 10.1016/0146-664X(82)90023-5
Computational geometry in C, 1998. ,
A 3D contact smoothing method using Gregory patches, International Journal for Numerical Methods in Engineering, vol.179, issue.8, pp.1161-1194, 2002. ,
DOI : 10.1002/nme.466
A 3d mortar method for solid mechanics, Int. J. Num. Meth. Engr, vol.59, pp.315-336, 2004. ,
Domain Decomposition Methods for Partial Differential Equations, 1999. ,
IntroductionàIntroduction`Introductionà l'analyse numérique deséquadeséquations aux dérivées partielles, 1998. ,
Analyse mathématique et numérique deséquationsdeséquations de l'´ elastodynamique en présence de contact unilatéral, 2004. ,
Non-conforming hp finite element methods, 1998. ,
Assessment of energy-momentum and symplectic schemes for stiff dynamical systems, American Society of Mechanical Engineers, ASME Winter Annual Meeting, 1993. ,
An augmented lagrangian treatment of contact problems involving friction, Computers & Structures, vol.42, issue.1, pp.97-116, 1992. ,
DOI : 10.1016/0045-7949(92)90540-G
The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics, ZAMP Zeitschrift f???r angewandte Mathematik und Physik, vol.33, issue.3, pp.757-792, 1992. ,
DOI : 10.1007/BF00913408
Analysis of mixed finite element methods for the stokes problem : a unified approach, Math. of Comp, vol.42, pp.9-23, 1984. ,
A technique for analysing finite element methods for viscous incompressible flow, Int. J. Num. Meth. Fluids, vol.11, pp.935-948, 1990. ,
Domain decomposition methods for mortar finite elements, 1999. ,
The Mathematical Foundations of the Finite Element Method, chapter Variational crimes in the finite element method, pp.689-710, 1973. ,
Finite element interpolation of nonsmooth functions satisfying boundary conditions, Mathematics of Computation, vol.54, issue.190, pp.483-493, 1990. ,
DOI : 10.1090/S0025-5718-1990-1011446-7
Compatibility condition and existence results in discrete finite incompressible elasticity, Computer Methods in Applied Mechanics and Engineering, vol.27, pp.239-259, 1981. ,
Neumann-Neumann domain decomposition algorithm for solving 2d elliptic problems with nonmatching grids, East-West J. Numer. Math, vol.1, issue.2, pp.129-146, 1993. ,
Computational Mechanics Advances, Computational Mechanics, pp.123-217, 1994. ,
Handbook of Numerical Analysis Part 2 : Numerical methods for solids, 1994. ,
IntroductionàIntroduction`Introductionà la dynamique des structures, Ecole Polytechnique, 1999. ,
Energy conservation in fluid-structure interactions, Numerical methods for scientific computing, 2003. ,
Nonlinear schemes and multiscale preconditioners for time evolution problems in constrained structural dynamics ,
Efficient solvers for the dynamic analyses of nonlinear multiscale structures, Proceedings of the Fifth World Congress on Computational Mechanics WCCM V, p.61, 2002. ,
Numerical analysis of a linearised fluid-structure interaction problem, Numerische Mathematik, vol.87, issue.2, pp.317-354, 2000. ,
DOI : 10.1007/s002110000183
Fluid structure interaction with large structural displacements, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.24-25, pp.24-253039, 2001. ,
DOI : 10.1016/S0045-7825(00)00381-9
On a finite element method for dynamic contact/impact problems, International Journal for Numerical Methods in Engineering, vol.2, issue.12, pp.2123-2140, 1993. ,
DOI : 10.1002/nme.1620361211
Three-dimensional incompressible viscoelasticity in large strains: Formulation and numerical approximation, Computer Methods in Applied Mechanics and Engineering, vol.109, issue.3-4, 1993. ,
DOI : 10.1016/0045-7825(93)90080-H
Domain decomposition methods for large linearly elliptic three-dimensional problems, Journal of Computational and Applied Mathematics, vol.34, issue.1, pp.93-117, 1991. ,
DOI : 10.1016/0377-0427(91)90150-I
URL : https://hal.archives-ouvertes.fr/inria-00075376
Three-dimensional domain decomposition methods with nonmatching grids and unstructured coarse solvers ,
DOI : 10.1090/conm/180/01957
Domain decomposition methods in scientific and engineering computing, Proceedings of the 7th international conference on domain decomposition, pp.61-74, 1994. ,
Partial differential equations, 1987. ,
Hierarchical a posteriori error estimators for mortar finite element methods with lagrange multipliers, SIAM J. Numer. Anal, vol.36, pp.1636-1658, 1999. ,
A mortar finite element method using dual spaces for the lagrange multiplier, SIAM J. Numer. Anal, vol.38, pp.989-1012, 2000. ,
Discretization methods and iterative solvers based on domain decomposition, 2001. ,
Computational Contact Mechanics, 2002. ,