37 4.1.1.1 Méthodes multi-domaines, p.38 ,
43 4.2.1.1 Fraction volumique, p.44 ,
47 4.2.4.2 Conservation de l'´ energie et loi d, p.50 ,
144 8.4.1 Limitation de la correction dans une sous-maille, p.145 ,
A. Brebbia, and Wessex Institute of Technology, Contact mechanics : computational techniques. First International Conference on Contact Mechanics 93. Computational Mechanics, p.37, 1993. ,
URL : https://hal.archives-ouvertes.fr/hal-00960537
Moment of fluid interface reconstruction method in multi-material arbitrary Lagrangian Eulerian (MMALE) algorithms, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.47-48, pp.47-483782, 2009. ,
DOI : 10.1016/j.cma.2009.08.009
A robust Nitsche???s formulation for interface problems, Computer Methods in Applied Mechanics and Engineering, vol.225, issue.228, pp.225-22844, 2012. ,
DOI : 10.1016/j.cma.2012.03.008
A stable finite element for the stokes equations, Calcolo, vol.21, issue.4, pp.337-344, 1984. ,
DOI : 10.1007/BF02576171
Mixed finite element methods. Encyclopedia of computational mechanics, p.65, 2004. ,
THE PARTITION OF UNITY METHOD, International Journal for Numerical Methods in Engineering, vol.9, issue.4, pp.727-758, 1996. ,
DOI : 10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N
The finite element method with Lagrangian multipliers, Numerische Mathematik, vol.12, issue.3, pp.179-192, 1973. ,
DOI : 10.1007/BF01436561
A compatible finite element multi-material ALE hydrodynamics algorithm, 9th ICFD Conference on Numerical Methods for Fluid Dynamics, pp.953-964, 2007. ,
DOI : 10.1002/fld.1593
A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.41-44, pp.41-443352, 2009. ,
DOI : 10.1016/j.cma.2009.06.017
URL : https://hal.archives-ouvertes.fr/inria-00341737
Computational methods in Lagrangian and Eulerian hydrocodes, Computer Methods in Applied Mechanics and Engineering, vol.99, issue.2-3, pp.235-394, 1992. ,
DOI : 10.1016/0045-7825(92)90042-I
A mixture theory for contact in multi-material Eulerian formulations, Computer Methods in Applied Mechanics and Engineering, vol.140, issue.1-2, pp.59-86, 1997. ,
DOI : 10.1016/S0045-7825(96)01050-X
Contact in a multi-material eulerian finite element formulation, Computer Methods In Applied Mechanics And Engineering, vol.193, pp.39-414277, 2004. ,
A regularized XFEM framework for embedded cohesive interfaces, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.49-50, pp.49-504367, 2008. ,
DOI : 10.1016/j.cma.2008.05.012
Finite Elements : Theory, Fast Solvers, and Applications in Elasticity Theory, pp.61-65, 2007. ,
DOI : 10.1017/CBO9780511618635
A totally Eulerian finite volume solver for multi-material fluid flows, European Journal of Mechanics - B/Fluids, vol.28, issue.4, pp.475-485, 2009. ,
DOI : 10.1016/j.euromechflu.2009.03.003
URL : https://hal.archives-ouvertes.fr/hal-00485659
On the existence, uniqueness and approximation of saddle-pointproblems arising from lagrangian multipliers, R.A.I.R.O. Anal. Numér, vol.8, pp.129-151, 1974. ,
Non-conforming spectral element-finite element approximations for partial differential equations, Computer Methods in Applied Mechanics and Engineering, vol.75, pp.1-3109, 1989. ,
An efficient ghost fluid method for compressible multifluids in Lagrangian coordinate, Applied Numerical Mathematics, vol.58, issue.6, pp.859-870, 2008. ,
DOI : 10.1016/j.apnum.2007.03.004
A Tensor Artificial Viscosity Using a Mimetic Finite Difference Algorithm, Journal of Computational Physics, vol.172, issue.2, pp.739-765, 2001. ,
DOI : 10.1006/jcph.2001.6856
Formulations of Artificial Viscosity for Multi-dimensional Shock Wave Computations, Journal of Computational Physics, vol.144, issue.1, pp.70-97, 1998. ,
DOI : 10.1006/jcph.1998.5989
Ecoulements multi-matériaux et multi-physiques : solveur volumes finis eulérien co-localisé avec capture d'interfaces, analyse et simulations, p.81, 2012. ,
Modélisation thermo-mécanique multi-´ echelles des frottements sous chocs, p.16, 2009. ,
Residual-free bubbles for embedded Dirichlet problems, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.45-48, pp.45-483751, 1998. ,
DOI : 10.1016/j.cma.2008.02.033
An efficient finite element method for embedded interface problems, International Journal for Numerical Methods in Engineering, vol.64, issue.3, pp.229-252, 2009. ,
DOI : 10.1002/nme.2486
Arbitrary lagrangian? eulerian methods. Encyclopedia of computational mechanics, p.11, 2004. ,
The 'penalty function' method for problems of contact Computers & ; Structures, pp.777-782, 1990. ,
Conservative rezoning (remapping) for general quadrilateral meshes, Journal of Computational Physics, vol.54, issue.30, pp.411-424, 1984. ,
Reconstruction of multi-material interfaces from moment data, Journal of Computational Physics, vol.227, issue.11, pp.5361-5384, 2008. ,
DOI : 10.1016/j.jcp.2007.12.029
A Hybrid Particle Level Set Method for Improved Interface Capturing, Journal of Computational Physics, vol.183, issue.1, pp.83-116, 2002. ,
DOI : 10.1006/jcph.2002.7166
Simultaneous untangling and smoothing of tetrahedral meshes, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.25, pp.2775-2787, 2003. ,
DOI : 10.1016/S0045-7825(03)00299-8
A non-oscillatory eulerian approach to interfaces in multimaterial flows (the ghost fluid method), Journal of Computational Physics, vol.152, issue.2, pp.457-492, 1999. ,
Méthode de couplage eulerlagrange pour la dynamique rapide, 10e colloque national en calcul des structures, p.38, 2011. ,
An analysis of the convergence of mixed finite element methods, RAIRO. Analyse num??rique, vol.11, issue.4, pp.341-354, 1977. ,
DOI : 10.1051/m2an/1977110403411
Numerical computation of 3d two phase flow by finite volumes methods using flux schemes, Finite Volumes for Complex Applications : Problems and Perspectives, pp.69-94, 1999. ,
Front tracking in two and three dimensions, ¡ce :title¿Advanced Computing on Intel Architectures¡/ce :title¿, pp.1-11, 1998. ,
DOI : 10.1016/S0898-1221(98)00028-5
A fictitious domain method for Dirichlet problem and applications, Computer Methods in Applied Mechanics and Engineering, vol.111, issue.3-4, pp.3-4283, 1994. ,
DOI : 10.1016/0045-7825(94)90135-X
Use of penalty variable in finite element analysis of contacting objects. Computers & ; Structures, pp.802449-2459, 2002. ,
Sliding interfaces with contact-impact in large-scale Lagrangian computations, Computer Methods in Applied Mechanics and Engineering, vol.51, issue.1-3, pp.1-3107, 1985. ,
DOI : 10.1016/0045-7825(85)90030-1
A finite element method for the simulation of strong and weak discontinuities in solid mechanics, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.33-35, pp.33-353523, 2004. ,
DOI : 10.1016/j.cma.2003.12.041
A discontinuous stabilized mortar method for general 3D elastic problems, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.49-52, pp.49-524881, 2007. ,
DOI : 10.1016/j.cma.2007.06.014
URL : https://hal.archives-ouvertes.fr/hal-00175620
An arbitrary Lagrangian-Eulerian computing method for all flow speeds, Journal of Computational Physics, vol.14, issue.3, pp.227-253, 1974. ,
DOI : 10.1016/0021-9991(74)90051-5
Volume of fluid (VOF) method for the dynamics of free boundaries, Journal of Computational Physics, vol.39, issue.1, pp.201-225, 1981. ,
DOI : 10.1016/0021-9991(81)90145-5
Front Tracking for Hyperbolic Conservation Laws, Applied Mathematical Sciences, p.41, 2011. ,
On a penalty formulation for contact-impact problems Computers & ; Structures, pp.193-203, 1993. ,
Numerical methods for tracking interfaces, Physica D: Nonlinear Phenomena, vol.12, issue.1-3, pp.396-407, 1984. ,
DOI : 10.1016/0167-2789(84)90544-X
Geschlossenes system physikalischer und chemischer differentialgesetze, Sitzungsberichte der Mathematisch-Naturwissenschaftliche, pp.385-530 ,
A modified equipotential method for grid relaxation, Journal of Computational Physics, p.31, 2003. ,
Mass redistribution method for finite element contact problems in elastodynamics, EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, pp.918-932, 2008. ,
Reference Jacobian Optimization-Based Rezone Strategies for Arbitrary Lagrangian Eulerian Methods, Journal of Computational Physics, vol.176, issue.1, pp.93-128, 2002. ,
DOI : 10.1006/jcph.2001.6969
A tensor artificial viscosity using a finite element approach, Journal of Computational Physics, vol.228, issue.22, pp.8336-8366, 2009. ,
A comparative study of interface reconstruction methods for multi-material ALE simulations, Journal of Computational Physics, vol.229, issue.7, pp.2432-2452 ,
DOI : 10.1016/j.jcp.2009.07.009
A continuum-based finite element formulation for the implicit solution of multibody, large deformation-frictional contact problems, International Journal for Numerical Methods in Engineering, vol.44, issue.20, pp.3451-3485, 1993. ,
DOI : 10.1002/nme.1620362005
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method, Journal of Computational Physics, vol.32, issue.1, pp.101-136, 1979. ,
DOI : 10.1016/0021-9991(79)90145-1
On the computation of multi-material flows using ALE formulation, Journal of Computational Physics, vol.194, issue.1, pp.304-328 ,
DOI : 10.1016/j.jcp.2003.09.026
Second-order sign-preserving conservative interpolation (remapping) on general grids, Journal of Computational Physics, vol.184, issue.1, pp.266-298, 2003. ,
DOI : 10.1016/S0021-9991(02)00033-5
Modélisation mathématique et mécanique des milieux continus, Scopos, issue.6, 2002. ,
Mechanik der plastischen formänderung von kristallen, Zeitschrift für Angewandte Mathematik und Mechanik, pp.161-185, 1928. ,
A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, vol.46, issue.1, pp.131-150, 1999. ,
DOI : 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.3.CO;2-A
URL : https://hal.archives-ouvertes.fr/hal-01004829
An algorithm for the fast solution of symmetric linear complementarity problems, Numerische Mathematik, vol.23, issue.4, p.181, 2007. ,
DOI : 10.1007/s00211-008-0183-5
A Parallel, Volume-Tracking Algorithm for Unstructured Meshes, Parallel Computational Fluid Dynamics, pp.368-375, 1996. ,
DOI : 10.1016/B978-044482327-4/50113-3
A bubble-stabilized finite element method for dirichlet constraints on embedded interfaces, International Journal For Numerical Methods In Engineering, vol.69, issue.99, pp.772-793, 1998. ,
Linear Complementarity, Linear and Nonlinear Programming, p.181, 1988. ,
¨ Uber ein variationsprinzip zur lösung von dirichlet-problemen bei verwendung von teilräumen, die keinen randbedingungen unterworfen sind ,
SLIC (Simple Line Interface Calculation), Proceedings of the Fifth International Conference on Numerical Methods in Fluid Dynamics, pp.330-340, 1976. ,
DOI : 10.1007/3-540-08004-X_336
Cel : A time-dependent, two-space-dimensional, coupled eulerian-lagrangian code, Methods in Computational Physics, pp.117-179, 1964. ,
DOI : 10.2172/4621975
On the Arbitrary Lagrangian-Eulerian Finite Element Method, p.38, 2000. ,
Level Set Methods: An Overview and Some Recent Results, Journal of Computational Physics, vol.169, issue.2, pp.463-502, 2001. ,
DOI : 10.1006/jcph.2000.6636
Level Set Methods and Dynamic Implicit Surfaces, Applied Mathematical Sciences, p.42, 2002. ,
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988. ,
DOI : 10.1016/0021-9991(88)90002-2
Second-order accurate volume-of-fluid algorithms for tracking material interfaces, Journal of Computational Physics, vol.199, issue.2, pp.465-502, 2004. ,
A volume of fluid interface tracking algorithm with applications to computing shock wave refraction, 4th international symposium on computational fluid dynamics, pp.933-938, 1991. ,
Conservative rezoning algorithm for generalized two-dimensional meshes, Journal of Computational Physics, vol.59, issue.2, pp.193-199, 1985. ,
Mécanique des milieux continus : Concepts généraux. Mécanique des milieux continus, 2005. ,
A Nitsche embedded mesh method, Computational Mechanics, vol.193, issue.21???22, pp.243-257 ,
DOI : 10.1007/s00466-011-0641-2
On methods for stabilizing constraints over enriched interfaces in elasticity, International Journal for Numerical Methods in Engineering, vol.36, issue.9, pp.1009-1036, 2009. ,
DOI : 10.1002/nme.2396
Closure models for multimaterial cells in arbitrary lagrangian-eulerian hydrocodes. International Journal For Numerical Methods In Fluids, 9th ICFD Conference on Numerical Methods for Fluid Dynamics, pp.1497-1504, 2007. ,
Computational Inelasticity. Interdisciplinary applied mathematics : Mechanics and materials, p.16, 1998. ,
Reentrant polygon clipping, Commun. ACM, vol.17, issue.1, pp.32-42, 1974. ,
High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws, SIAM Journal on Numerical Analysis, vol.21, issue.5, pp.995-1011, 1984. ,
DOI : 10.1137/0721062
A front-tracking/ghost-fluid method for fluid interfaces in compressible flows, Journal of Computational Physics, vol.228, issue.11, pp.4012-4037, 2009. ,
DOI : 10.1016/j.jcp.2009.02.023
Grid optimization by equipotential relaxation, p.31, 1992. ,
Hydrocodes -codes de dynamiques rapide, p.9, 2006. ,
A front-tracking method for viscous, incompressible , multi-fluid flows, Journal of Computational Physics, vol.99, issue.1, pp.180-1992 ,
A generic solution to polygon clipping, Commun. ACM, vol.35, issue.7, pp.56-63, 1992. ,
An extended finite element formulation for contact in multi-material arbitrary Lagrangian???Eulerian calculations, International Journal for Numerical Methods in Engineering, vol.151, issue.10, pp.1420-1444, 2006. ,
DOI : 10.1002/nme.1681
Contact with friction in multi-material arbitrary Lagrangian-Eulerian formulations using X-FEM, International Journal for Numerical Methods in Engineering, vol.46, issue.15, pp.893-921, 2008. ,
DOI : 10.1002/nme.2358
Kinetic friction for multi-material arbitrary Lagrangian Eulerian extended finite element formulations, Computational Mechanics, vol.76, issue.6, pp.847-857, 2009. ,
DOI : 10.1007/s00466-008-0351-6
A Method for the Numerical Calculation of Hydrodynamic Shocks, Journal of Applied Physics, vol.21, issue.3, pp.232-237, 1950. ,
DOI : 10.1063/1.1699639
A compact artificial viscosity equivalent to a tensor viscosity, Journal of Computational Physics, vol.229, issue.19, pp.6673-6675, 2010. ,
DOI : 10.1016/j.jcp.2010.05.034
Calculation of elastoplastic flows, Methods Of Computational Physics, vol.3, pp.211-263, 1964. ,
Discretization Methods and Iterative Solvers Based on Domain Decomposition, Lecture Notes in Computational Science and Engineering, vol.78, pp.68-102, 2001. ,
Computational Contact Mechanics. Courses and lectures, p.37, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00466790
A large deformation mortar formulation of self contact with finite sliding, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.6-8, pp.756-772, 2008. ,
DOI : 10.1016/j.cma.2007.09.004
Time dependent multi-material flow with large fluid distortion. Numerical Methods for Fluid Dynamics, pp.273-285, 1982. ,
Numerical simulation of turbulent mixing by rayleigh-taylor instability, Physica D : Nonlinear Phenomena, vol.12, issue.13, pp.32-44, 1984. ,
A systematic approach for constructing higher-order immersed boundary and ghost fluid methods for fluid???structure interaction problems, Journal of Computational Physics, vol.231, issue.7, pp.2892-2923, 2012. ,
DOI : 10.1016/j.jcp.2011.12.027
Immersed finite element method, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.21-22, pp.2051-2067, 2004. ,
DOI : 10.1016/j.cma.2003.12.044
A robust algorithm for moving interface of multi-material fluids based on Riemann solutions, Acta Mechanica Sinica, vol.198, issue.3, pp.509-519, 2006. ,
DOI : 10.1007/s10409-006-0030-9
Introduction to Hydrocodes. Studies in Applied Mechanics, 2004. ,