F. L. Adessio, D. E. Carroll, K. K. Dukowicz, J. N. Johnson, B. A. Kashiwa et al., Caveat: a computer code for fluid dynamics problems with large distortion and internal slip, 1986.

H. T. Ahn and M. J. Shashkov, Multi-material interface reconstruction on generalized polyhedral meshes, Journal of Computational Physics, vol.226, issue.2, pp.2096-2132, 2007.
DOI : 10.1016/j.jcp.2007.06.033

H. R. Anbarlooei and K. Mazaheri, 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.3782-3794, 2009.
DOI : 10.1016/j.cma.2009.08.009

A. Barlow, A new Lagrangian scheme for multimaterial cells, Proceedings of European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Computational Fluid Dynamics Conference, pp.262-297, 2001.

A. J. Barlow, A compatible finite element multi-material ALE hydrodynamics algorithm, International Journal for Numerical Methods in Fluids, vol.141, issue.8, pp.953-964, 2008.
DOI : 10.1002/fld.1593

T. J. Barth and D. C. Jespersen, The design and application of upwind schemes on unstructured meshes, 27th Aerospace Sciences Meeting, 1989.
DOI : 10.2514/6.1989-366

M. Ben-artzi and J. Falcovitz, Generalized Riemann problems in computational fluids dynamics, 2003.
DOI : 10.1017/CBO9780511546785

D. J. Benson, 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

J. Botsis and M. Deville, Mécanique des milieux continus : une introduction, Presses Polytechniques et Universitaires Romandes, 2006.

E. J. Caramana, D. E. Burton, M. J. Shashkov, and P. P. Whalen, The Construction of Compatible Hydrodynamics Algorithms Utilizing Conservation of Total Energy, Journal of Computational Physics, vol.146, issue.1, pp.227-262, 1998.
DOI : 10.1006/jcph.1998.6029

B. Després and C. Mazeran, Lagrangian Gas Dynamics in Two Dimensions and Lagrangian systems, Archive for Rational Mechanics and Analysis, vol.180, issue.3, pp.327-372, 2005.
DOI : 10.1007/s00205-005-0375-4

J. K. Dukowicz, A general, non-iterative Riemann solver for Godunov's method, Journal of Computational Physics, vol.61, issue.1, pp.119-137, 1984.
DOI : 10.1016/0021-9991(85)90064-6

J. K. Dukowicz, M. C. Cline, and F. S. Addessio, A general topology Godunov method, Journal of Computational Physics, vol.82, issue.1, pp.29-63, 1989.
DOI : 10.1016/0021-9991(89)90034-X

V. Dyadechko and M. Shashkov, 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

D. Eberly, Triangulation by ear clipping Geometric Tools, LLC, 2008.

S. Galera, M. Kucharik, P. Maire, M. Shashkov, M. Berndt et al., Hybrid Remapping (Conservative Interpolation) for Multimaterial Arbitrary Lagrangian-Eulerian Methods. to be submitted to, Journal of Computational Physics, 2010.

J. Glimm, J. W. Grove, X. L. Li, W. Oh, and D. H. Sharp, A Critical Analysis of Rayleigh???Taylor Growth Rates, Journal of Computational Physics, vol.169, issue.2, pp.652-677, 2001.
DOI : 10.1006/jcph.2000.6590

J. Glimm, J. W. Grove, X. L. Li, K. M. Shyue, Q. Zhang et al., Three-Dimensional Front Tracking, SIAM Journal on Scientific Computing, vol.19, issue.3, pp.703-727, 1998.
DOI : 10.1137/S1064827595293600
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.569

J. F. Haas and B. Sturtevant, Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities, Journal of Fluid Mechanics, vol.201, issue.-1, pp.41-76, 1987.
DOI : 10.1121/1.387106

C. W. Hirt, A. Amsden, and J. L. Cook, 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

P. Hoch, An arbitrary lagrangian eulerian strategy to solve compressible fluid flows HAL : hal-00366858, 2009.

J. R. Kamm and M. Shashkov, A pressure relaxation closure model for one-dimensional, twomaterial Lagrangian hydrodynamics based one the Riemann problem, 2009.

J. R. Kamm and F. X. Timmes, On efficient generation of numerically robust Sedov solutions, 2007.

P. Knupp, Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part I?a framework for surface mesh optimization, International Journal for Numerical Methods in Engineering, vol.2, issue.3, pp.401-420, 2000.
DOI : 10.1002/(SICI)1097-0207(20000530)48:3<401::AID-NME880>3.0.CO;2-D

P. Knupp, Algebraic Mesh Quality Metrics, SIAM Journal on Scientific Computing, vol.23, issue.1, pp.193-218, 2001.
DOI : 10.1137/S1064827500371499
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.616.1650

P. Knupp, L. G. Margolin, and M. J. Shashkov, 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
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.20.7624

P. Knupp and S. Steinberg, Fundamentals of Grid Generation, Boca Raton, 1993.

P. M. Knupp, Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part I?a framework for surface mesh optimization, International Journal for Numerical Methods in Engineering, vol.2, issue.3, pp.401-420, 2000.
DOI : 10.1002/(SICI)1097-0207(20000530)48:3<401::AID-NME880>3.0.CO;2-D

M. Kucharik, R. V. Garimella, S. P. Schofield, and M. J. Shashkov, A comparative study of interface reconstruction methods for multi-material ALE simulations, Journal of Computational Physics, vol.229, issue.7, pp.2432-2452, 2009.
DOI : 10.1016/j.jcp.2009.07.009

M. Kucharik and M. Shashkov, Extension of efficient, swept-integration-based conservative remapping method for meshes with changing connectivity, International Journal for Numerical Methods in Fluids, vol.184, issue.8, pp.561359-1365, 2008.
DOI : 10.1002/fld.1577

R. Loubère, P. Maire, M. Shashkov, J. Breil, and S. Galera, ReALE: A reconnection-based arbitrary-Lagrangian???Eulerian method, Journal of Computational Physics, vol.229, issue.12, 2009.
DOI : 10.1016/j.jcp.2010.03.011

H. Luo, J. D. Baum, and R. Löhner, On the computation of multi-material flows using ALE formulation, Journal of Computational Physics, vol.194, issue.1, pp.304-328, 2004.
DOI : 10.1016/j.jcp.2003.09.026

P. Maire, A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes, Journal of Computational Physics, vol.228, issue.7, pp.2391-2425, 2009.
DOI : 10.1016/j.jcp.2008.12.007
URL : https://hal.archives-ouvertes.fr/inria-00322369

P. Maire, R. Abgrall, J. Breil, and J. Ovadia, A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems, SIAM Journal on Scientific Computing, vol.29, issue.4, pp.1781-1824, 2007.
DOI : 10.1137/050633019
URL : https://hal.archives-ouvertes.fr/inria-00334022

P. Maire, J. Breil, and S. Galera, A cell-centred arbitrary Lagrangian???Eulerian (ALE) method, International Journal for Numerical Methods in Fluids, vol.176, issue.8, pp.1161-1166, 2008.
DOI : 10.1002/fld.1557

L. G. Margolin, Introduction to ???An Arbitrary Lagrangian???Eulerian Computing Method for All Flow Speeds???, Journal of Computational Physics, vol.135, issue.2, pp.198-202, 1997.
DOI : 10.1006/jcph.1997.5727

L. G. Margolin and M. Shashkov, 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

B. Mirtich, Fast and Accurate Computation of Polyhedral Mass Properties, Journal of Graphics Tools, vol.4, issue.10, pp.31-50, 1996.
DOI : 10.1080/10867651.1996.10487458

J. M. Morrell, P. K. Sweby, and A. Barlow, A cell by cell anisotropic adaptive mesh ALE scheme for the numerical solution of the Euler equations, Journal of Computational Physics, vol.226, issue.1, pp.1152-1180, 2007.
DOI : 10.1016/j.jcp.2007.05.040

B. Nkonga, On the conservative and accurate CFD approximations for moving meshes and moving boundaries, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.13-14, pp.13-141801, 2000.
DOI : 10.1016/S0045-7825(00)00191-2
URL : https://hal.archives-ouvertes.fr/hal-01313354

J. James, S. Quirk, and . Karni, On the dynamics of a shock-bubble interaction, Journal of Fluid Mechanics, vol.318, pp.129-163, 1996.

B. Rebourcet, Modélisations numériques multifluides et multiphases -liens de principe, 2006.

M. Shashkov, Closure models for multimaterial cells in arbitrary Lagrangian???Eulerian hydrocodes, International Journal for Numerical Methods in Fluids, vol.3, issue.8, pp.1497-1504, 2008.
DOI : 10.1002/fld.1574

P. Vachal, R. V. Garimella, and M. J. Shashkov, Untangling of 2D meshes in ALE simulations, Journal of Computational Physics, vol.196, issue.2, pp.627-644, 2004.
DOI : 10.1016/j.jcp.2003.11.011

A. M. Winslow, Equipotential zoning of two-dimensional meshes, 1963.

A. M. Winslow, Numerical solution of the quasilinear poisson equation in a nonuniform triangle mesh, Journal of Computational Physics, vol.1, issue.2, pp.149-172128, 1966.
DOI : 10.1016/0021-9991(66)90001-5

D. L. Youngs, Time dependent multi-material flow with large fluid distortion, Numerical Methods for Fluid Dynamics, pp.273-285, 1982.

D. L. Youngs, Multi-mode implosion in cylindrical 3d geometry, 11th International Workshop on the Physics of Compressible Turbulent Mixing (IWPCTM11), 2008.