Preprints

3. K.B., N. Chorfi, R. Masson. Algebraic flux correction finite element method with semi-implicit time stepping for solute transport in fractured porous media

2. F. Chave, K.B., R. Masson. Gradient discretization of a 3D-2D-1D mixed-dimensional model with resolved interface, application to the drying of a fractured porous medium

1. K.B.. Acceleration of Newton's method using nonlinear Jacobi preconditioning
hal-02428366 version
latest version

International Journals

22. K.B., N. Chorfi, R. Masson. Sequential implicit Vertex Approximate Gradient discretization of incompressible two-phase Darcy flows with discontinuous capillary pressure, Computational Geosciences

21. F. Bonaldi, K.B., J. Droniou, R. Masson, A. Pasteau, L. Trenty. Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces, ESAIM: Math. Model. Numer. Anal. 55, 1741 - 1777

20. I. Berre et al. Verification Benchmarks for single phase flow in three-dimensional fractured porous media, Advances in Water Resources 147

19. F. Bonaldi, K.B., J. Droniou, R. Masson. Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media, Computers & Mathematics with Applications 98, 40-68

18. K.B., J. Hennicker, R. Masson. Nodal Discretization of Two-Phase Discrete Fracture Matrix models, Polyhedral Methods in Geosciences, 73-118

17. K.B., J. Droniou, R. Masson, E.H. Quenjel. Total-velocity-based finite volume discretiza- tion of two-phase Darcy flow in highly heterogeneous media with discontinuous capillary pressure, IMA Journal of Numerical Analysis

2020

16. K.B., R. Masson, E.H. Quenjel. Vertex Approximate Gradient discretization preserv- ing positivity for two-phase Darcy flows in heterogeneous porous media, Journal of Computational Physics

2019

15. J. Aghili, K.B., J. Hennicker, R. Masson, L. Trenty. Two-phase Discrete Fracture Matrix models with linear and nonlinear transmission conditions, International Journal on Geomathematics, 10:1

14. L. Beaude, K.B., S. Lopez, R. Masson, F. Smai. Non-isothermal Compositional liquid gas Darcy Flow: Formulation, soil-atmosphere boundary condition and application to high energy geothermal simulations, Computational Geosciences

2018

13. K.B., J. Hennicker, R. Masson, P. Samier. Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions. Jour- nal of Computational Physics, Elsevier

12. L. Beaude, T. Beltzung, K.B., S. Lopez, R. Masson, F. Smai, J.-F. Thebault, F. Xing. Parallel geothermal numerical model with faults and multi-branch wells. ESAIM : Proceedings and Surveys

2017

11. K.B., C. Cancès. Improving Newton’s method performance by parametrization : the case of Richards equation. SIAM Journal on Numerical Analysis 3

10. K.B., M. Groza, L. Jeannin, R. Masson, J. Pellerin. Immiscible two-phase Darcy flow model accounting for vanishing and discontinuous capillary pressures : application to the flow in fractured porous media. Comput. Geosci.

2016

9. K.B., J. Hennicker, R. Masson, P. Samier. Gradient discretization of hybrid dimensional Darcy flows in fractured porous media with discontinuous pressure at matrix fracture interfaces. IMA Journal of Numerical Analysis

8. K.B., R. Masson, L. Trenty, Y. Zhang. Coupling of a two phase gas liquid 3D Darcy flow in fractured porous media with a 1D free gas flow. M2AN

7. K.B., D. Hilhorst, H.C. Vu-Do. The generalized finite volume SUSHI scheme for the discretization of Richards equation, Vietnam Journal of Mathematics 44 (3), 557-586

2015

6. K.B., M. Groza, C. Guichard, G. Lebeau, R. Masson. Gradient discretization of Hybrid Dimensional Darcy Flows in Fractured Porous Media. Numerische Matematik

2014

5. K.B., M. Groza, C. Guichard, R. Masson. Vertex approximate gradient scheme for hybrid dimensional two-phase Darcy flows in fractured porous media, M2AN

2013

4. B. Andreianov, K.B., C. Canc`es. Approximating the vanishing capillarity limit of two- phase flow in multi-dimensional heterogeneous porous medium. ZAMM Z. Angew. Math. Mech.

3. O. Angelini, K.B., D. Hilhorst. A finite volume method on general meshes for a degenerate parabolic convection-reaction-diffusion equation. Numer. Math.

2. K.B., C. Cancès, D. Hilhorst. Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure. Comput. Geosci.

1. K.B., R. Masson. Convergence of a vertex centred discretization of two-phase Darcy flows on general meshes. International Journal on Finite Volumes - IJFV

Conference proceeding

2020

17. F. Bonaldi, K.B., J. Droniou, R. Masson.Two-Phase Darcy Flows in Fractured and Deformable Porous Media, Convergence Analysis and Iterative Coupling, ECMOR XVII

16. K.B.. Acceleration of Newton's Method Using Nonlinear Jacobi Preconditioning. Proceeding of the conference FVCA9

15. F. Bonaldi, K.B., J. Droniou, R. Masson. The Gradient Discretisation Method for Two-phase Discrete Fracture Matrix Models in Deformable Porous Media. Proceeding of the conference FVCA9

14. K.B., R. Masson, E.H. Quenjel. A robust VAG scheme for a two-phase flow problem in heterogeneous porous media. Proceeding of the conference FVCA9

2018

13. J. Aghili, K.B., J. Hennicker, R. Masson, L. Trenty. Hybrid Finite Volume discretization of two-phase Discrete Fracture Matrix models with nonlinear interface solver. Proceedings of the conference ECMOR XVI

2017

12. L. Beaude, K.B., S. Lopez, R. Masson, F. Smai. Non-isothermal compositional two-phase Darcy flow : formulation and outflow boundary condition. Proceeding of the conference FVCA8

2016

11. K.B., J. Hennicker, R. Masson, P. Samier. Hybrid Dimensional Darcy Flow in Fractured Porous Media with discontinuous pressures at the matrix fracture interfaces. Proceedings of the conference ECMOR XV

10. K.B., M. Groza, L. Jeannin, R. Masson, J. Pellerin. Immiscible Two-phase Darcy Flow in Fractured Porous Media - New Robust Formulation and Application to the Tight Gas Recovery Proceedings of the conference ECMOR XV

2016

9. K.B., R. Masson, L. Trenty, Y. Zhang. Coupling of a two phase gas liquid 3D Darcy flow in fractured porous media with a 1D free gas flow. Proceedings of Mamern conference

8. K.B., J. Hennicker, R. Masson, P. Samier. Gradient discretization of hybrid dimensional Darcy flows in fractured porous media with discontinuous pressure at matrix fracture interfaces, Proceedings of Mamern conference.

2014

7. K.B., M. Groza, L. Jeannin, R. Masson. Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-phase Darcy Flows in Fractured Porous Media, Proceeding of the conference ECMOR XIV

6. K.B., M. Groza, C. Guichard, R. Masson. Vertex approximate gradient scheme for hybrid dimensional two-phase Darcy flows in fractured porous media, Proceeding of the conference FVCA7

5. K.B., R. Masson, L. Trenty, Y. Zhang. Coupling of a two phase gas liquid compositional 3D Darcy flow with a 1D compositional free gas flow, Proceeding of the conference FVCA7

4. K.B., M. Groza, C. Guichard, G. Lebeau, R. Masson. Gradient discretization of hybrid dimensional Darcy flows in fractured porous media, Proceeding of the conference FVCA7

3. K.B., D. Hilhorst, H. C. Vu Do. A gradient scheme for the discretization of Richards equation, Proceeding of the conference FVCA7

2012

2. K.B.. Hybrid finite volume scheme for a two-phase flow in heterogeneous porous media. Proceedings of Congrès National de Mathématiques Appliquées et Industrielles, ESAIM

2011

1. K.B., C. Cances, D. Hilhorst. A convergent finite volume scheme for two-phase flows in porous media with discontinuous capillary pressure field. Proceeding of the conference FVCA6, Springer