G. Barles, Solutions de viscosité des équations de Hamilton-Jacobi, 1995.

J. D. Benamou and P. Hoch, GO++: A modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type, ESAIM: Mathematical Modelling and Numerical Analysis, vol.36, issue.5, pp.883-905, 2002.
DOI : 10.1051/m2an:2002037
URL : https://hal.archives-ouvertes.fr/inria-00072179

A. Chambolle and B. J. Lucier, A maximum principle for order-preserving mappings, pp.823-827, 1998.

P. G. Ciarlet and P. A. Raviart, Maximum principle and uniform convergence for the finite element method, Computer Methods in Applied Mechanics and Engineering, vol.2, issue.1, pp.17-31, 1973.
DOI : 10.1016/0045-7825(73)90019-4

P. Frey and P. L. George, Mesh Generation Application to Finite Elements, 2000.

A. Friedman, Partial Differential Equations of the Parabolic Type, 1964.

P. Hoch, S. Marchal, Y. Vasilenko, and A. A. Feiz, Non conformal adaptation and mesh smoothing for compressible Lagrangian fluid dynamics, ESAIM: Proceedings, vol.24, pp.111-129, 2008.
DOI : 10.1051/proc:2008033

D. Kershaw, Differencing of the diffusion equation in Lagrangian hydrodynamic codes, Journal of Computational Physics, vol.39, issue.2, pp.375-395, 1981.
DOI : 10.1016/0021-9991(81)90158-3

K. Lipnikov, S. Shashkov, D. Svyatskiy, and Y. Vassilevski, Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes, Journal of Computational Physics, vol.227, issue.1, pp.492-512, 2007.
DOI : 10.1016/j.jcp.2007.08.008

G. J. Pert, Physical constraints in numerical calculations of diffusion, Journal of Computational Physics, vol.42, issue.1, pp.20-52, 1981.
DOI : 10.1016/0021-9991(81)90231-X

C. and L. Potier, Sch??ma volumes finis monotone pour des op??rateurs de diffusion fortement anisotropes sur des maillages de triangles non structur??s, Comptes Rendus Mathematique, vol.341, issue.12, pp.787-792, 2005.
DOI : 10.1016/j.crma.2005.10.010

A. Quarteroni, R. Sacco, and F. Saleri, Méthodes Numériques: Algorithmes, Analyse Et Applications, 2007.

D. Shepard, A two-dimensional interpolation function for irregularly-spaced data, Proceedings of the 1968 23rd ACM national conference on -, pp.517-524, 1968.
DOI : 10.1145/800186.810616

O. Soulard and D. Souffland, A second order turbulence closure for modeling counter-gradient transport in variable density turbulent flows, Proceedings of the International Symposium on Turbulence, Heat and Mass Transfer, pp.369-372, 2006.
DOI : 10.1615/ICHMT.2006.TurbulHeatMassTransf.720

G. Yuan and Z. Sheng, Monotone finite volume schemes for diffusion equations on polygonal meshes, Journal of Computational Physics, vol.227, issue.12, pp.6288-6312, 2008.
DOI : 10.1016/j.jcp.2008.03.007