A. Bourgeat, S. Bryant, J. Carrayrou, A. Dimier, C. V. Duijn et al., Gdr momas -benchmark reactive transport

K. Brenan, S. Campbell, and L. Petzold, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, 1996.
DOI : 10.1137/1.9781611971224

P. N. Brown, A. C. Hindmarsh, and L. R. Petzold, Consistent Initial Condition Calculation for Differential-Algebraic Systems, SIAM Journal on Scientific Computing, vol.19, issue.5, pp.1495-1512, 1998.
DOI : 10.1137/S1064827595289996

H. Buchholzer, C. Kanzow, P. Knabner, and S. Kräutle, Solution of reactive transport problems including mineral precipitation-dissolution reactions by a semismooth newton method. preprint, submitted, 2009.

J. Carrayrou, R. Mose, and P. Behra, Operator-splitting procedures for reactive transport and comparison of mass balance errors, Journal of Contaminant Hydrology, vol.68, issue.3-4, pp.239-268, 2004.
DOI : 10.1016/S0169-7722(03)00141-4

O. Cirpka and R. Helmig, Comparison of Approaches for the Coupling of Chemistry to Transport in Groundwater Systems, Notes on Numer. Fluid Dyn, vol.59, pp.102-120, 1997.
DOI : 10.1007/978-3-322-89565-3_10

T. A. Davis, UMFPACK Version 5.0 User Guide, 2006.

T. A. Davis and I. S. Duff, An Unsymmetric-Pattern Multifrontal Method for Sparse LU Factorization, SIAM Journal on Matrix Analysis and Applications, vol.18, issue.1, pp.140-158, 1997.
DOI : 10.1137/S0895479894246905

T. A. Davis and I. S. Duff, A combined unifrontal/multifrontal method for unsymmetric sparse matrices, ACM Transactions on Mathematical Software, vol.25, issue.1, pp.1-20, 1999.
DOI : 10.1145/305658.287640

J. E. Dennis and R. B. Schnabel, Numerical methods for unconstrained optimization and nonlinear equations. series in Comput, Math, 1983.

C. De-dieuleveult, An efficient and robust global method for reactive transport, University of Rennes, vol.1, 2008.

C. De-dieuleveult, J. Erhel, and M. Kern, A global strategy for solving reactive transport equations, Journal of Computational Physics, vol.228, issue.17, 2009.
DOI : 10.1016/j.jcp.2009.05.044
URL : https://hal.archives-ouvertes.fr/hal-00566602

G. Hammond, A. Valocchi, and P. Lichtner, Application of Jacobian-free Newton???Krylov with physics-based preconditioning to biogeochemical transport, Advances in Water Resources, vol.28, issue.4, pp.359-376, 2005.
DOI : 10.1016/j.advwatres.2004.12.001

A. C. Hindmarsh, P. N. Brown, K. E. Grant, S. L. Lee, R. Serban et al., SUNDIALS, ACM Transactions on Mathematical Software, vol.31, issue.3, pp.31-363, 2005.
DOI : 10.1145/1089014.1089020

A. C. Hindmarsh and R. Serban, User Documentation for IDA v2.3.0, 2005.

J. Hoffmann, S. Kräutle, and P. Knabner, A parallel solver for reactive transport problems in porous media and its application to the momas benchmark problem, International Workshop on Modelling Reactive Transport in Porous Media, 2008.

J. F. Kanney, C. T. Miller, and D. Barry, Comparison of fully coupled approaches for approximating nonlinear transport and reaction problems, Advances in Water Resources, vol.26, issue.4, pp.353-372, 2003.
DOI : 10.1016/S0309-1708(02)00188-4

D. Krikner and H. Reeves, Multicomponent mass transport with homogeneous and heterogeneous chemical reactions: Effect of the chemistry on the choice of numerical algorithm: 1. Theory, Water Resources Research, vol.60, issue.2, pp.1719-1729, 1988.
DOI : 10.1029/WR024i010p01719

V. Lagneau and J. Van-der-lee, Hytec resolution of the reactive transport benchmark momas, International Workshop on Modelling Reactive Transport in Porous Media, 2008.

J. Van-der-lee and L. De-windt, Present state and future directions of modeling of geochemistry in hydrogeological systems, Journal of Contaminant Hydrology, vol.47, issue.2-4, pp.265-282, 2001.
DOI : 10.1016/S0169-7722(00)00155-8

P. Lucille, A. Burnol, and P. Ollar, Chemtrap: a hydrogeochemical model for reactive transport in porous media, Hydrological Processes, vol.30, issue.59, pp.2261-2277, 2000.
DOI : 10.1002/1099-1085(200009)14:13<2261::AID-HYP27>3.0.CO;2-L

K. U. Mayer and K. Macquarrie, Min3p implementation of momas benchmark problems, International Workshop on Modelling Reactive Transport in Porous Media, 2008.

S. Molins, J. Carrera, C. Ayora, and M. W. Saaltink, A formulation for decoupling components in reactive transport problems, Water Resources Research, vol.27, issue.12, p.10301, 2004.
DOI : 10.1029/2003WR002970

J. Ortega and W. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables, Comput. Sci. Appl. Math, 1970.
DOI : 10.1137/1.9780898719468

M. W. Saaltink, J. Carrera, and C. Ayora, On the behavior of approaches to simulate reactive transport, Journal of Contaminant Hydrology, vol.48, issue.3-4, pp.213-235, 2001.
DOI : 10.1016/S0169-7722(00)00172-8

C. I. Steefel and K. T. Macquarrie, Approaches to modeling of reactive transport in porous media Reactive Transport in Porous Media, Rev. Mineral, vol.34, pp.83-125, 1996.

A. Valocchi, R. Street, and P. Roberts, Transport of ion-exchanging solutes in groundwater: Chromatographic theory and field simulation, Water Resources Research, vol.62, issue.3, pp.1517-1527, 1981.
DOI : 10.1029/WR017i005p01517

A. Walter, E. Frind, D. Blowes, C. Ptacek, and J. Molson, Modeling of multicomponent reactive transport in groundwater: 1. Model development and evaluation, Water Resources Research, vol.30, issue.8, pp.3137-3148, 1994.
DOI : 10.1029/94WR00955

G. T. Yeh and V. S. Tripathi, A critical evaluation of recent developments in hydrogeochemical transport models of reactive multichemical components, Water Resources Research, vol.67, issue.44, pp.93-108, 1989.
DOI : 10.1029/WR025i001p00093

G. T. Yeh and V. S. Tripathi, A Model for Simulating Transport of Reactive Multispecies Components: Model Development and Demonstration, Water Resources Research, vol.25, issue.1, pp.3075-3094, 1991.
DOI : 10.1029/91WR02028

C. Zheng and P. P. Wang, MT3DMS -A modular three-dimensional multispecies transport model for simulation of advection, dispersion and chemical reactions of contaminants in groundwater systems, 1999.

A. Zysset, F. Stauffer, and T. Dracos, Modeling of chemically reactive groundwater transport, Water Resources Research, vol.81, issue.25, pp.2217-2228, 1994.
DOI : 10.1029/94WR00230