S. A. Barber, Soil nutrient bioavailability: a mechanistic approach, 1984.

P. B. Barraclough and P. B. Tinker, THE DETERMINATION OF IONIC DIFFUSION COEFFICIENTS IN FIELD SOILS. I. DIFFUSION COEFFICIENTS IN SIEVED SOILS IN RELATION TO WATER CONTENT AND BULK DENSITY, Journal of Soil Science, vol.36, issue.2, pp.225-236, 1981.
DOI : 10.1111/j.1365-2389.1981.tb01702.x

H. Berninger, Domain decomposition methods for elliptic problems with jumping nonlinearities and application to the richards equation, 2007.

M. A. Celia, E. T. Bouloutas, and R. L. Zarba, A general mass-conservative numerical solution for the unsaturated flow equation, Water Resources Research, vol.26, issue.HY12, pp.1483-1496, 1990.
DOI : 10.1029/WR026i007p01483

C. Dobrzynski, MMG3D: User Guide, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00681813

C. Doussan, L. Pagès, and G. Vercambre, Modelling of the Hydraulic Architecture of Root Systems: An Integrated Approach to Water Absorption???Model Description, Annals of Botany, vol.81, issue.2, pp.213-223, 1998.
DOI : 10.1006/anbo.1997.0540

C. Doussan, A. Pierret, E. Garrigues, and L. Pagès, Water Uptake by Plant Roots: II ??? Modelling of Water Transfer in the Soil Root-system with Explicit Account of Flow within the Root System ??? Comparison with Experiments, Plant and Soil, vol.215, issue.1-2, pp.99-117, 2006.
DOI : 10.1007/s11104-004-7904-z

E. L. Fiscus, The Interaction between Osmotic- and Pressure-induced Water Flow in Plant Roots, PLANT PHYSIOLOGY, vol.55, issue.5, pp.917-922, 1975.
DOI : 10.1104/pp.55.5.917

F. Hecht, New development in freefem++, Journal of Numerical Mathematics, vol.20, issue.3-4, pp.251-266, 2013.
DOI : 10.1515/jnum-2012-0013

J. W. Hopmans and K. L. Bristow, Current Capabilities and Future Needs of Root Water and Nutrient Uptake Modeling, Advances in Agronomy, Advances in Agronomy, pp.103-183, 2002.
DOI : 10.1016/S0065-2113(02)77014-4

M. Javaux, T. Schröder, J. Vanderborght, and H. Vereecken, Use of a Three-Dimensional Detailed Modeling Approach for Predicting Root Water Uptake, Vadose Zone Journal, vol.7, issue.3, pp.1079-1088, 2008.
DOI : 10.2136/vzj2007.0115

S. H. Ji, Y. J. Park, E. A. Sudicky, and J. F. Sykes, A generalized transformation approach for simulating steady-state variably-saturated subsurface flow, Advances in Water Resources, vol.31, issue.2, pp.313-323, 2008.
DOI : 10.1016/j.advwatres.2007.08.010

P. Jolivet, V. Dolean, F. Hecht, F. Nataf, C. Prud-'homme et al., High performance domain decomposition methods on massively parallel architectures with freefem++, Journal of Numerical Mathematics, vol.20, issue.3-4, pp.287-302, 2013.
DOI : 10.1515/jnum-2012-0015
URL : https://hal.archives-ouvertes.fr/hal-00835298

G. Karypis and V. Kumar, A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs, SIAM Journal on Scientific Computing, vol.20, issue.1, pp.359-392, 1998.
DOI : 10.1137/S1064827595287997

L. V. Kochian and W. J. Lucas, Potassium Transport in Corn Roots : I. Resolution of Kinetics into a Saturable and Linear Component, PLANT PHYSIOLOGY, vol.70, issue.6, pp.1723-1731, 1982.
DOI : 10.1104/pp.70.6.1723

J. B. Kool and J. C. Parker, Development and evaluation of closed-form expressions for hysteretic soil hydraulic properties, Water Resources Research, vol.39, issue.1, pp.105-114, 1987.
DOI : 10.1029/WR023i001p00105

J. Landsberg and N. Fowkes, Water Movement Through Plant Roots, Annals of Botany, vol.42, issue.3, pp.493-508, 1978.
DOI : 10.1093/oxfordjournals.aob.a085488

D. Leitner, S. Klepsch, G. Bodner, and A. Schnepf, A dynamic root system growth model based on L-Systems, Plant and Soil, vol.58, issue.9, pp.177-192, 2010.
DOI : 10.1007/s11104-010-0284-7

M. Mcgechan and D. Lewis, SW???Soil and Water, Biosystems Engineering, vol.82, issue.1, pp.1-24, 2002.
DOI : 10.1006/bioe.2002.0054

I. S. Pop, Error estimates for a time discretization method for the richards' equation, Computational Geosciences, vol.6, issue.2, pp.141-160, 2002.
DOI : 10.1023/A:1019936917350

M. W. Saaltink, J. Carrera, and S. Olivella, Mass balance errors when solving the convective form of the transport equation in transient flow problems, Water Resources Research, vol.31, issue.6, 2004.
DOI : 10.1029/2003WR002866

F. Somma, J. Hopmans, and V. Clausnitzer, Transient three-dimensional modeling of soil water and solute transport with simultaneous root growth, root water and nutrient uptake, Plant and Soil, vol.202, issue.2, pp.281-293, 1998.
DOI : 10.1023/A:1004378602378

D. Stevens and H. Power, A scalable and implicit meshless RBF method for the 3D unsteady nonlinear Richards equation with single and multi-zone domains, International Journal for Numerical Methods in Engineering, vol.27, issue.1, pp.135-163, 2011.
DOI : 10.1002/nme.2960

A. Tuzet, A. Perrier, and R. Leuning, A coupled model of stomatal conductance, photosynthesis and transpiration, Plant, Cell and Environment, vol.8, issue.7, pp.1097-1116, 2003.
DOI : 10.1016/S0168-1923(98)00061-6

N. Varado, I. Braud, P. Ross, and R. Haverkamp, Assessment of an efficient numerical solution of the 1D Richards' equation on bare soil, Journal of Hydrology, vol.323, issue.1-4, pp.1-4, 2006.
DOI : 10.1016/j.jhydrol.2005.07.052
URL : https://hal.archives-ouvertes.fr/insu-00385915

M. Vohralík and M. Wheeler, A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows, Computational Geosciences, vol.17, issue.5, pp.789-812, 2009.
DOI : 10.1007/s10596-013-9356-0