@article{hypre-srs,
  AUTHOR={Beir\~{a}o da Veiga, Louren\c{c}o and Di Pietro, Daniele A. and Droniou, J\'er\^ome and Haile, Kirubell B. and Radley, Thomas J.},
  TITLE={A Reynolds-semi-robust method with hybrid velocity and pressure for the unsteady incompressible Navier–Stokes equations},
  PAGES={25p},
  YEAR={2025},
  URL={https://arxiv.org/abs/2502.15293},
}

@article{pec-poincare,
  AUTHOR={Di Pietro, Daniele A. and Droniou, J\'er\^ome and Hanot, Marien-Lorenzo and Pitassi, Silvano},
  TITLE={Uniform Poincar\'e inequalities for the discrete de Rham complex of differential forms},
  PAGES={32p},
  YEAR={2025},
  URL={https://arxiv.org/abs/2501.16116},
}

@article{equilibrium,
  AUTHOR={Droniou, J\'er\^ome and Le, Kim-Ngan and Wichmann, J\"orn},
  TITLE={Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise},
  PAGES={48p},
  YEAR={2024},
  URL={https://arxiv.org/abs/2412.14316},
}

@article{discretetrace,
  AUTHOR={Badia, Santiago and Droniou, J\'er\^ome and Tushar, Jai},
  TITLE={A discrete trace theory for non-conforming polytopal hybrid discretisation methods},
  PAGES={34p},
  YEAR={2024},
  URL={http://arxiv.org/abs/2409.15863},
}




@Inbook{DEGH20,
  author    = {Droniou, J{\'e}r{\^o}me and Eymard, Robert and Gallou{\"e}t, Thierry and Herbin, Rapha{\`e}le},
  editor    = {Di Pietro, Daniele Antonio and Formaggia, Luca and Masson, Roland},
  title     = {Non-conforming Finite Elements on Polytopal Meshes},
  bookTitle = {Polyhedral Methods in Geosciences},
  year      = {2021},
  publisher = {Springer International Publishing},
  series    = {SEMA--SIMAI series},
  volume    = {27},
  address   = {Cham},
  pages     = {1--35},
  isbn      = {978-3-030-69363-3},
  doi       = {10.1007/978-3-030-69363-3_1},
  url       = {https://arxiv.org/abs/2007.06958},
}



@Inbook{CDGGBP20,
  author    = {Canc{\`e}s, Cl{\'e}ment and Droniou, J{\'e}r{\^o}me and Guichard, Cindy and Manzini, Gianmarco and Olivares, Manuela Bastidas and Pop, Iuliu Sorin},
  editor    = {Di Pietro, Daniele Antonio and Formaggia, Luca and Masson, Roland},
  title     = {Error Estimates for the Gradient Discretisation Method on Degenerate Parabolic Equations of Porous Medium Type},
  bookTitle = {Polyhedral Methods in Geosciences},
  year      = {2021},
  publisher = {Springer International Publishing},
  series    = {SEMA--SIMAI series},
  volume    = {27},
  address   = {Cham},
  pages     = {37--72},
  isbn      = {978-3-030-69363-3},
  doi       = {10.1007/978-3-030-69363-3_2},
  url          = {www.uhasselt.be/Documents/CMAT/Preprints/2020/UP2004.pdf},
}


@book{hho-book,
	TITLE={The Hybrid High-Order Method for Polytopal Meshes: Design, Analysis, and Applications},
	AUTHOR={Di Pietro, Daniele Antonio and Droniou, J\'er\^ome},
	YEAR={2020},
	PAGES={xxxi + 525p},
	SERIES = {Modeling, Simulation and Applications},
	PUBLISHER = {Springer International Publishing},
  volume        = {19},
  isbn          = {978-3-030-37202-6 (Hardcover), 978-3-030-37203-3 (eBook)},
  doi           = {10.1007/978-3-030-37203-3},
	URL={https://hal.archives-ouvertes.fr/hal-02151813},
	coverthumb = {images/cover-HHO_book-reduced.png},
	cover = {images/cover-HHO_book.png},
}


@book{gdm,
	TITLE={The gradient discretisation method},
	AUTHOR={Droniou, J\'er\^ome and Eymard, Robert and Gallou\"et, Thierry and Guichard, Cindy and Herbin, Rapha\`ele},
	YEAR={2018},
	PAGES={511p},
	SERIES = {Mathematics \& Applications},
	PUBLISHER = {Springer},
  volume        = {82},
  isbn          = {978-3-319-79041-1 (Softcover) 978-3-319-79042-8 (eBook)},
  doi           = {10.1007/978-3-319-79042-8},
	URL={https://hal.archives-ouvertes.fr/hal-01382358},
	cover = {images/cover-GDM_book.png},
}




@article{polytopalbubble,
  AUTHOR={Droniou, J\'er\^ome and Haidar, Ali and Masson, Roland},
  TITLE={Analysis of a VEM--fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction},
  PAGES={31p},
  YEAR={2025},
  JOURNAL = {{M2AN} Math. Model. Numer. Anal.},
  URL={http://arxiv.org/abs/2404.03045},
}

@article{ddr-manifold,
  AUTHOR={Droniou, J\'er\^ome and Hanot, Marien and Oliynyk, Todd},
  TITLE={A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations},
  JOURNAL={Journal of Computational Physics},
  PAGES={42p},
  YEAR={2025},
  URL={https://arxiv.org/abs/2401.16130},
  DOI={10.1016/j.jcp.2025.113886}
}

@article{ddr_pec,
	AUTHOR = {Bonaldi, Francesco and Di Pietro, Daniele A. and Droniou, J\'er\^ome and Hu, Kaibo},
  TITLE = {An exterior calculus framework for polytopal methods},
  PAGES={55p},
  YEAR={2025},
  JOURNAL={Journal of the European Mathematical Society},
  URL={https://arxiv.org/abs/2303.11093},
}



@article{stoch_stef,
  AUTHOR={Droniou, J\'er\^ome and Khan, Muhammad Awais and Le, Kim-Ngan},
  TITLE={Numerical analysis of the stochastic Stefan problem},
  YEAR={2024},
  VOLUME = {173},
  PAGES = {114-140},
  JOURNAL = {Comput. Math. Appl.},
  FJOURNAL = {Computers \& Mathematics with Applications. An International Journal},
  URL={https://arxiv.org/abs/2306.12668},
  DOI = {10.1016/j.camwa.2024.08.007},
}

@article{thm,
  AUTHOR={Droniou, J\'er\^ome and Laaziri, Mohamed and Masson, Roland},
  TITLE={Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates},
  JOURNAL = {J. Comput. Phys.},
  FJOURNAL = {Journal of Computational Physics},
  PAGES={Paper no. 113295, 24p},
  YEAR={2024},
  VOLUME={515},
  DOI={10.1016/j.jcp.2024.113295},
  URL={https://arxiv.org/abs/2401.12342},
}

@article{lasddr_ym,
  AUTHOR={Droniou, J\'er\^ome and Qian, Jia Jia},
  TITLE={Two arbitrary-order constraint-preserving schemes for the Yang–Mills equations on polyhedral meshes},
  JOURNAL={Mathematics in Engineering},
  YEAR={2024},
  VOLUME = {6},
  NUMBER={3},  
  PAGES={468--493},
  DOI={10.3934/mine.2024019},
  URL={https://arxiv.org/abs/2306.09751},
}

@article{xvem,
  AUTHOR={Droniou, J\'er\^ome and Manzini, Gianmarco and Yemm, Liam},
  TITLE={The eXtended Virtual Element Method for elliptic problems with weakly singular solutions},
 	JOURNAL = {Comput. Methods Appl. Mech. Engrg.},
  YEAR={2024},
  VOLUME={429},
  PAGES={Paper No. 117129, 16p},
  DOI={10.1016/j.cma.2024.117129},
  URL={https://arxiv.org/abs/2402.02902},
}

@article{ester,
  AUTHOR={Droniou, J\'er\^ome and Eymard, Robert and Gallou\"et, Thierry and Guichard, Cindy and Herbin, Rapha\`ele},
  TITLE={Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity},
  PAGES={28p},
  YEAR={2024},
	JOURNAL = {SeMA},
  URL={https://hal.science/hal-04183945},
  DOI={10.1007/s40324-024-00360-w}
  }

@article{vem_bubble,
  AUTHOR={Droniou, J\'er\^ome and Ench\'ery, Guillaume and Faille, Isabelle and Haidar, Ali and Masson, Roland},
  TITLE={A bubble VEM--fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix fracture interfaces},
  PAGES={Paper no. 116838, 25p},
  YEAR={2024},
  VOLUME={422},
 	JOURNAL = {Comput. Methods Appl. Mech. Engrg.},
	FJOURNAL = {Computer Methods in Applied Mechanics and Engineering},
  URL={http://arxiv.org/abs/2312.09319},
  DOI={10.1016/j.cma.2024.116838}
}    

@article{nsddr,
  AUTHOR={Di Pietro, Daniele A. and Droniou, J\'er\^ome and Qian, Jia Jia},
  TITLE={A pressure-robust {Discrete de Rham} scheme for the {Navier-Stokes} equations},
 	JOURNAL = {Comput. Methods Appl. Mech. Engrg.},
	FJOURNAL = {Computer Methods in Applied Mechanics and Engineering},
  VOLUME={421},
  PAGES={Paper no. 116765, 21p},
  YEAR={2024},
  URL={https://arxiv.org/abs/2401.04456},
  DOI={10.1016/j.cma.2024.116765}
}

@article{poromeca_convergence,
	AUTHOR = {Bonaldi, Francesco and Droniou, J\'er\^ome and Masson, Roland},
  TITLE = {Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix--fracture interfaces},
  VOLUME  = {93},
  NUMBER  = {349},
  PAGES={2103--2134},
  YEAR={2024},
  JOURNAL = {Math. Comp.},
  DOI={10.1090/mcom/3949},
  URL={https://arxiv.org/abs/2201.09646},
}

@article{ddr_cohomology,
	AUTHOR = {Di Pietro, Daniele A. and Droniou, J\'er\^ome and Pitassi, Silvano},
  TITLE = {Cohomology of the discrete de {R}ham complex on domains of general topology},
  JOURNAL = {Calcolo},
  FJOURNAL = {Calcolo. A Quarterly on Numerical Analysis and Theory of Computation},
  PAGES = {Paper No. 32, 25p},
  VOLUME = {60},
  NUMBER = {2},
  YEAR={2023},
  URL={https://arxiv.org/abs/2209.00957},
  DOI={10.1007/s10092-023-00523-7},
}

@article{brinkman_hho,
	AUTHOR = {Di Pietro, Daniele A. and Droniou, J\'er\^ome},
  TITLE = {A polytopal method for the Brinkman problem robust in all regimes},
	JOURNAL = {Comput. Methods Appl. Mech. Engrg.},
	FJOURNAL = {Computer Methods in Applied Mechanics and Engineering},
  VOLUME={409},
  YEAR={2023},
  PAGES={Paper no. 115981, 33p},
  DOI={10.1016/j.cma.2023.115981},
  URL={https://arxiv.org/abs/2301.03272},
}

@article{ddr-variant,
	AUTHOR = {Di Pietro, Daniele A. and Droniou, J\'er\^ome},
  TITLE = {An arbitrary-order discrete de Rham complex on polyhedral meshes: Exactness, Poincar\'e inequalities, and consistency},
	JOURNAL={Found. Comput. Math.},
	VOLUME={23},
  PAGES={85--164},
  YEAR={2023},
  DOI={10.1007/s10208-021-09542-8},
  URL={https://arxiv.org/abs/2101.04940},
}


@article{hho_mhd,
  AUTHOR = {Droniou, J\'{e}r\^{o}me and Yemm, Liam},
  TITLE = {A hybrid high-order scheme for the stationary, incompressible magnetohydrodynamics equations},
  JOURNAL = {IMA J. Numer. Anal.},
  FJOURNAL = {IMA Journal of Numerical Analysis},
  VOLUME = {44},
  YEAR = {2024},
  NUMBER = {1},
  PAGES = {262--296},
  ISSN = {0272-4979,1464-3642},
  DOI = {10.1093/imanum/drad005},
  URL={https://arxiv.org/abs/2202.12436},
}

@article{ddr_ym,
	AUTHOR = {Droniou, J\'er\^ome and Oliynyk, Todd A. and Qian, Jia Jia},
  TITLE = {A polyhedral discrete de Rham numerical scheme for the Yang–Mills equations},
  YEAR={2023},
  JOURNAL = {J. Comput. Phys.},
  FJOURNAL = {Journal of Computational Physics},
  VOLUME = {478},
  PAGES = {Paper no. 111955, 26p},
  URL={https://arxiv.org/abs/2208.12009},
  DOI={10.1016/j.jcp.2023.111955},
}


@article{ddr_kl,
	AUTHOR = {Di Pietro, Daniele A. and Droniou, J\'er\^ome},
  TITLE = {A fully discrete plates complex on polygonal meshes with application to the {K}irchhoff--{L}ove problem},
  VOLUME={92},
  ISSUE={339},
  YEAR={2023},
  PAGES={51--77},
  JOURNAL = {Math. Comp.},
  DOI={10.1090/mcom/3765},
  URL={https://arxiv.org/abs/2112.14497},
}

@article{serendipity,
	AUTHOR = {Di Pietro, Daniele A. and Droniou, J\'er\^ome},
  TITLE = {Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method},
  PAGES={191--225},
  YEAR={2023},
  VOLUME={57},
  ISSUE={1},
  JOURNAL = {{M2AN} Math. Model. Numer. Anal.},
  DOI = {10.1051/m2an/2022067},
  URL={https://arxiv.org/abs/2203.02939},
}


@article{rmddr,
	AUTHOR = {Di Pietro, Daniele A. and Droniou, J\'{e}r\^{o}me},
  TITLE = {A discrete de {R}ham method for the {R}eissner-{M}indlin plate bending problem on polygonal meshes},
  JOURNAL = {Comput. Math. Appl.},
  FJOURNAL = {Computers \& Mathematics with Applications. An International Journal},
  VOLUME = {125},
  YEAR = {2022},
  PAGES = {136--149},
  DOI = {10.1016/j.camwa.2022.08.041},
  URL={https://arxiv.org/abs/2105.11773},
}


@article{cond_hho,
  AUTHOR = {Badia, Santiago and Droniou, J\'{e}r\^{o}me and Yemm, Liam},
  TITLE = {Conditioning of a hybrid high-order scheme on meshes with small faces},
  JOURNAL = {J. Sci. Comput.},
  FJOURNAL = {Journal of Scientific Computing},
  VOLUME = {92},
  YEAR = {2022},
  NUMBER = {2},
  PAGES = {Paper No. 71, 23},
  ISSN = {0885-7474},
  MRCLASS = {65N30 (65N12 65N15)},
  MRNUMBER = {4453262},
  DOI = {10.1007/s10915-022-01913-9},
  URL={https://arxiv.org/abs/2109.09983},
}


@article{cost_eff,
	AUTHOR = {Dahmen, Nour and Droniou, J\'er\^ome and Rogier, Fran\c{c}ois},
  TITLE = {A cost-effective nonlinear extremum-preserving finite volume scheme for highly anisotropic diffusion on Cartesian grids, with application to radiation belt dynamics},
  JOURNAL = {J. Comput. Phys.},
  FJOURNAL = {Journal of Computational Physics},
  COLUME = {463},
  PAGES = {111258},
  YEAR={2022},
  DOI={10.1016/j.jcp.2022.111258},
  URL={https://arxiv.org/abs/2110.00300},
}

@article{robust_stokes,
	AUTHOR = {Beir\~ao da Veiga, Louren\c{c}o and Dassi, Franco and Di Pietro, Daniele A. and Droniou, J\'er\^ome},
  TITLE = {Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes},
	JOURNAL = {Comput. Methods Appl. Mech. Engrg.},
	FJOURNAL = {Computer Methods in Applied Mechanics and Engineering},
  PAGES = {Paper No. 115061, 31p},
  YEAR={2022},
  VOLUME={397},
  URL={https://arxiv.org/abs/2112.09750},
  DOI={10.1016/j.cma.2022.115061},
}


@article{plap-stoc,
	AUTHOR = {Droniou, J\'er\^ome and Goldys, Beniamin and Le, Kim-Ngan},
  TITLE = {Design and convergence analysis of numerical methods for stochastic evolution equations with  Leray--Lions operator},
  PAGES={1143--1179},
  YEAR={2022},
	JOURNAL = {IMA J. Numer. Anal.},
	FJOURNAL = {IMA Journal of Numerical Analysis},
  URL={https://arxiv.org/abs/2004.12047},
  VOLUME={42},
  NUMBER={2},
  DOI={10.1093/imanum/draa105},
}

@article{DNR19,
	TITLE={Convergence analysis of a numerical scheme for a tumour growth model},
	AUTHOR={Droniou, J\'er\^ome and Nataraj, Neela and Remesan, Gopikrishnan C.},
	URL={https://arxiv.org/abs/1910.07768},
	PAGES={1180--1230},
	JOURNAL = {IMA J. Numer. Anal.},
	FJOURNAL = {IMA Journal of Numerical Analysis},
	YEAR={2022},
	NUMBER={2},
	VOLUME={42},
	DOI={10.1093/imanum/drab016},
}

@article{poromeca_contact,
  TITLE = {Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix–fracture interfaces},
	AUTHOR = {Bonaldi, Francesco and Droniou, J\'er\^ome and Masson, Roland and Pasteau, Antoine},
  JOURNAL = {J. Comput. Phys.},
	FJOURNAL = {Journal of Computational Physics},
  VOLUME = {455},
  PAGES = {Paper No. 110984},
  YEAR = {2022},
  DOI={10.1016/j.jcp.2022.110984},
  URL={http://arxiv.org/abs/2109.09428},
}

@article{CDL18,
	TITLE={A combined GDM--ELLAM--MMOC scheme for advection dominated PDEs},
	AUTHOR={Cheng, Hanz Martin and Droniou, J\'er\^ome and Le, Kim-Ngan},
  JOURNAL = {Journal of Computational and Applied Mathematics},
  VOLUME = {404},
  PAGES = {113878},
  YEAR = {2022},
  DOI = {10.1016/j.cam.2021.113878},
	URL={https://arxiv.org/abs/1805.05585},
}

@article{hho_smallfaces,
	AUTHOR = {Droniou, J\'{e}r\^{o}me and Yemm, Liam},
  TITLE = {Robust hybrid high-order method on polytopal meshes with small faces},
  JOURNAL = {Comput. Methods Appl. Math.},
  FJOURNAL = {Computational Methods in Applied Mathematics},
  VOLUME = {22},
  YEAR = {2022},
  NUMBER = {1},
  PAGES = {47--71},
  ISSN = {1609-4840},
  DOI = {10.1515/cmam-2021-0018},
  URL={https://arxiv.org/abs/2102.06414},
}


@article{GDM-poromeca-disc,
  AUTHOR = {Bonaldi, Francesco and Brenner, Konstantin and Droniou, J\'er\^ome and Masson, Roland and Pasteau, Antoine and Trenty, Laurent},
  TITLE = {Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces},
  JOURNAL = {{M2AN} Math. Model. Numer. Anal.},
	VOLUME = {55},
	NUMBER = {5},
	PAGES = {1741--1777},
  YEAR={2021},
  DOI={10.1051/m2an/2021036},
  URL={https://arxiv.org/abs/2011.05576},
}

@article{GDM-poromeca,
	AUTHOR = {Bonaldi, Francesco and Brenner, Konstantin and Droniou, J\'{e}r\^{o}me and Masson, Roland},
  TITLE = {Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media},
  JOURNAL = {Comput. Math. Appl.},
  FJOURNAL = {Computers \& Mathematics with Applications. An International Journal},
  VOLUME = {98},
  YEAR = {2021},
  PAGES = {40--68},
  ISSN = {0898-1221},
  DOI = {10.1016/j.camwa.2021.06.017},
  URL={https://arxiv.org/abs/2004.09860},
}

@article{COMGE,
  title = {Application of diffusion-advection equations to in-field monitoring of soil suction profiles},
  journal = {Computers and Geotechnics},
  volume = {139},
  pages = {104329},
  year = {2021},
  issn = {0266-352X},
  doi = {https://doi.org/10.1016/j.compgeo.2021.104329},
  url = {https://www.sciencedirect.com/science/article/pii/S0266352X2100327X},
  author = {Srikanth Venkatesan and J\'er\^ome Droniou and Indrajit Roy and Dilan Robert and Annan Zhou},
}

@article{HHOLLI,
  AUTHOR = {Di Pietro, Daniele A. and Droniou, J\'{e}r\^{o}me and Harnist, Andr\'{e}},
  TITLE = {Improved error estimates for {H}ybrid {H}igh-{O}rder discretizations of {L}eray-{L}ions problems},
  JOURNAL = {Calcolo},
  FJOURNAL = {Calcolo. A Quarterly on Numerical Analysis and Theory of Computation},
  VOLUME = {58},
  YEAR = {2021},
  NUMBER = {2},
  PAGES = {Paper No. 19, 24p},
  DOI = {10.1007/s10092-021-00410-z},
  URL={https://arxiv.org/abs/2012.05122},
}


@article{vaghu,
  AUTHOR = {Brenner, K. and Masson, R. and Quenjel, E. H. and Droniou, J.},
  TITLE = {Total velocity-based finite volume discretization of two-phase {D}arcy flow in highly heterogeneous media with discontinuous capillary pressure},
  JOURNAL = {IMA J. Numer. Anal.},
  FJOURNAL = {IMA Journal of Numerical Analysis},
  VOLUME = {42},
  YEAR = {2022},
  NUMBER = {2},
  PAGES = {1231--1272},
  ISSN = {0272-4979},
  MRCLASS = {65M08 (65M12 76S05 76T06)},
  MRNUMBER = {4410741},
  DOI = {10.1093/imanum/drab018},
  URL={https://hal.archives-ouvertes.fr/hal-02957054},
}  

@article{maddr,
  AUTHOR = {Di Pietro, Daniele A. and Droniou, J\'{e}r\^{o}me},
  TITLE = {An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de {R}ham sequence},
  JOURNAL = {J. Comput. Phys.},
  FJOURNAL = {Journal of Computational Physics},
  VOLUME = {429},
  YEAR = {2021},
  PAGES = {109991, 28p},
  DOI = {10.1016/j.jcp.2020.109991},
  URL={https://arxiv.org/abs/2005.06890},
}

@article{DNS20,
  AUTHOR = {Droniou, J\'{e}rome and Nataraj, Neela and Shylaja, Devika},
  TITLE = {Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von {K}\'{a}rm\'{a}n and {N}avier-{S}tokes models},
  JOURNAL = {Adv. Comput. Math.},
  FJOURNAL = {Advances in Computational Mathematics},
  VOLUME = {47},
  YEAR = {2021},
  NUMBER = {2},
  PAGES = {Paper No. 20, 28p},
  DOI = {10.1007/s10444-020-09837-4},
  URL={https://arxiv.org/abs/2004.09842},
}

@article{DFR20,
  AUTHOR = {Droniou, J\'{e}r\^{o}me and Flegg, Jennifer A. and Remesan, Gopikrishnan C.},
  TITLE = {Numerical solution of a two dimensional tumour growth model with moving boundary},
  JOURNAL = {J. Sci. Comput.},
  FJOURNAL = {Journal of Scientific Computing},
  VOLUME = {85},
  YEAR = {2020},
  NUMBER = {22},
  PAGES = {Paper No. 22, 31p},
  DOI = {10.1007/s10915-020-01326-6},
	URL={https://arxiv.org/abs/2001.01949},
}

@article{DDR19,
	TITLE={Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra},
	AUTHOR={Di Pietro, Daniele A. and Droniou, J\'er\^ome and Rapetti, Francesca},
	JOURNAL = {Math. Models Methods Appl. Sci.},
	FJOURNAL = {Mathematical Models and Methods in Applied Sciences},
	URL={https://arxiv.org/abs/1911.03616},
	DOI={10.1142/S0218202520500372},
  VOLUME={30},
  NUMBER={9},
	PAGES={1809--1855},
	YEAR={2020},
}

@article{DN19,
	TITLE={The gradient discretisation method for slow and fast diffusion porous media equations},
	AUTHOR={Droniou, J\'er\^ome and Le, Kim-Ngan},
	JOURNAL = {SIAM J. Numer. Anal.},
	FJOURNAL = {SIAM Journal on Numerical Analysis},
  VOLUME = {58},
  NUMBER = {3},
	PAGES={1965--1992},
	YEAR={2020},
	URL={https://arxiv.org/abs/1905.01785},
	DOI={10.1137/19M1260165},
}

@article{DL19,
  AUTHOR = {Cheng, Hanz Martin and Droniou, J\'{e}r\^{o}me},
  TITLE = {An Efficient Implementation of Mass Conserving Characteristic-Based Schemes in Two and Three Dimensions},
  JOURNAL = {SIAM J. Sci. Comput.},
  FJOURNAL = {SIAM Journal on Scientific Computing},
  VOLUME = {42},
  YEAR = {2020},
  NUMBER = {2},
  PAGES = {A1071--A1096},
  ISSN = {1064-8275},
  MRCLASS = {65M25 (65M08 65M12)},
  MRNUMBER = {4082485},
  DOI = {10.1137/19M1281812},
	URL={https://arxiv.org/abs/1908.05834},
}

@article{DE19,
	TITLE={High-order mass-lumped schemes for nonlinear degenerate elliptic equations},
	AUTHOR={Droniou, J\'er\^ome and Eymard, Robert},
	JOURNAL = {SIAM J. Numer. Anal.},
	FJOURNAL = {SIAM Journal on Numerical Analysis},
  VOLUME = {58},
  NUMBER = {1},
	YEAR={2020},
	PAGES={153--188},
  DOI={10.1137/19M1244500},
	URL={https://arxiv.org/abs/1902.04662},
}

@article{CDPRX17,
	TITLE={Limits of the Stokes and Navier--Stokes equations in a punctured periodic domain},
	AUTHOR={Chipot, Michel and Droniou, J\'er\^ome and Planas, Gabriela
and Robinson, James~C. and Xue, Wei},
	YEAR={2020},
  VOLUME={18},
  NUMBER={2},
	PAGES={211--235},
	JOURNAL={Analysis and Applications},
  DOI={10.1142/S0219530519500118},
	URL={https://arxiv.org/abs/1407.6942},
}

@article{DEGH18,
	TITLE={A unified analysis of elliptic problems with various boundary conditions and their approximation},
	AUTHOR={Droniou, J\'er\^ome and Eymard, Robert and Gallou\"et, Thierry and Herbin, Raphal\`ele},
	URL={https://arxiv.org/abs/1806.10482},
	JOURNAL={Czechoslovak Mathematical Journal},
  VOLUME={70},
  NUMBER={145},
	PAGES={339-368},
	YEAR={2020},
  DOI={10.21136/CMJ.2019.0312-18},
}

@article{DEGH19,
	TITLE={The gradient discretisation method for linear advection problems},
	AUTHOR={Droniou, J\'er\^ome and Eymard, Robert and Gallou\"et, Thierry and Herbin, Rapha\`ele},
	URL={https://arxiv.org/abs/1903.12415},
	PAGES={23p},
	YEAR={2019},
	DOI={10.1515/cmam-2019-0060},
	JOURNAL = {Comput. Methods Appl. Math.},
	FJOURNAL = {Computational Methods in Applied Mathematics},
}

@article{DMM19,
	AUTHOR = {Droniou, J\'{e}r\^{o}me and Medla, Matej and Mikula, Karol},
	TITLE = {Design and analysis of finite volume methods for elliptic
		      equations with oblique derivatives; application to {E}arth
		      gravity field modelling},
	JOURNAL = {J. Comput. Phys.},
	FJOURNAL = {Journal of Computational Physics},
	VOLUME = {398},
	YEAR = {2019},
	PAGES = {108876},
	DOI = {10.1016/j.jcp.2019.108876},
	URL={https://arxiv.org/abs/1905.01813},
}

@article{BPD18,
	TITLE={A Hybrid High-Order method for the incompressible Navier--Stokes equations based on Temam's device},
	AUTHOR={Botti, Lorenzo and Di Pietro, Daniele A. and Droniou, J\'er\^ome},
	JOURNAL = {J. Comput. Phys.},
	FJOURNAL = {Journal of Computational Physics},
	PAGES={786-816},
	VOLUME={376},
	YEAR={2019},
	DOI={10.1016/j.jcp.2018.10.014},
	URL={https://arxiv.org/abs/1807.07345},
}

@article{CD17,
	TITLE={An HMM--ELLAM scheme on generic polygonal meshes for miscible incompressible flows in porous media},
	AUTHOR={Cheng, Hanz Martin and Droniou, J\'er\^ome},
	YEAR={2019},
	VOLUME={172},
	PAGES={707--723},
	JOURNAL={J. Petrol. Science and Engineering},
	DOI={10.1016/j.petrol.2018.08.062},
	URL={https://arxiv.org/abs/1706.02452},
}

@article{DMLW16,
	AUTHOR = {Droniou, J\'{e}r\^{o}me and Ilyas, Muhammad and Lamichhane, Bishnu P.
		      and Wheeler, Glen E.},
	TITLE = {A mixed finite element method for a sixth-order elliptic problem},
	JOURNAL = {IMA J. Numer. Anal.},
	FJOURNAL = {IMA Journal of Numerical Analysis},
	VOLUME = {39},
	YEAR = {2019},
	NUMBER = {1},
	PAGES = {374--397},
	DOI = {10.1093/imanum/drx066},
	URL={https://arxiv.org/abs/1710.02663},
}

@article{DHM16,
	AUTHOR = {Droniou, J\'{e}r\^{o}me and Hennicker, Julian and Masson, Roland},
	TITLE = {Numerical analysis of a two-phase flow discrete fracture matrix model},
	JOURNAL = {Numer. Math.},
	FJOURNAL = {Numerische Mathematik},
	VOLUME = {141},
	YEAR = {2019},
	NUMBER = {1},
	PAGES = {21--62},
	DOI = {10.1007/s00211-018-0994-y},
	URL = {https://arxiv.org/abs/1612.07373},
}

@article{DLS18,
	AUTHOR = {Droniou, J\'{e}r\^{o}me and Lamichhane, Bishnu P. and Shylaja, Devika},
	TITLE = {The {H}essian discretisation method for fourth order linear
		    elliptic equations},
	JOURNAL = {J. Sci. Comput.},
	FJOURNAL = {Journal of Scientific Computing},
	VOLUME = {78},
	YEAR = {2019},
	NUMBER = {3},
	PAGES = {1405--1437},
	DOI = {10.1007/s10915-018-0814-7},
	URL={https://arxiv.org/abs/1803.06985},
}

@article{CDL17,
	AUTHOR = {Cheng, Hanz Martin and Droniou, J\'{e}r\^{o}me and Le, Kim-Ngan},
	TITLE = {Convergence analysis of a family of {ELLAM} schemes for a
		      fully coupled model of miscible displacement in porous media},
	JOURNAL = {Numer. Math.},
	FJOURNAL = {Numerische Mathematik},
	VOLUME = {141},
	YEAR = {2019},
	NUMBER = {2},
	PAGES = {353--397},
	DOI = {10.1007/s00211-018-1002-2},
	URL={https://arxiv.org/abs/1710.01897},
}

@article{DEPT17,
	TITLE={Unified convergence analysis of numerical schemes for a miscible displacement problem},
	AUTHOR={Droniou, J\'er\^ome and Eymard, Robert and Prignet, Alain and Talbot, Kyle S.},
	JOURNAL={Found. Comput. Math.},
	PAGES={333-374},
	VOLUME={19},
	NUMBER={2},
	YEAR={2019},
	DOI={10.1007/s10208-018-9387-y},
	URL={https://arxiv.org/abs/1707.06034},
}

@article{DPD18,
	AUTHOR = {Di Pietro, Daniele A. and Droniou, J\'{e}r\^{o}me},
	TITLE = {A third {S}trang lemma and an {A}ubin-{N}itsche trick for
		      schemes in fully discrete formulation},
	JOURNAL = {Calcolo},
	FJOURNAL = {Calcolo. A Quarterly on Numerical Analysis and Theory of
		      Computation},
	VOLUME = {55},
	YEAR = {2018},
	NUMBER = {3},
	PAGES = {Art. 40, 39p},
	DOI = {10.1007/s10092-018-0282-3},
	URL={https://arxiv.org/abs/1804.09484},
}


@article{BDD18,
	AUTHOR = {Botti, Lorenzo and Di Pietro, Daniele A. and Droniou, J\'{e}r\^{o}me},
	TITLE = {A {H}ybrid {H}igh-{O}rder discretisation of the {B}rinkman problem robust in the {D}arcy and {S}tokes limits},
	JOURNAL = {Comput. Methods Appl. Mech. Engrg.},
	FJOURNAL = {Computer Methods in Applied Mechanics and Engineering},
	VOLUME = {341},
	YEAR = {2018},
	PAGES = {278--310},
	DOI = {10.1016/j.cma.2018.07.004},
	URL={http://arxiv.org/abs/1803.10964},
}

@article{ADE18,
	AUTHOR = {Antonietti, Paola F. and Droniou, J\'er\^ome and Eymard, Robert},
	TITLE = {An {E}clectic {V}iew on {N}umerical {M}ethods for {PDE}s:
		  {P}resentation of the {S}pecial {I}ssue ``{A}dvanced
		  {N}umerical {M}ethods: {R}ecent {D}evelopments, {A}nalysis and
		  {A}pplications''},
	JOURNAL = {Comput. Methods Appl. Math.},
	FJOURNAL = {Computational Methods in Applied Mathematics},
	VOLUME = {18},
	YEAR = {2018},
	NUMBER = {3},
	PAGES = {323--325},
	ISSN = {1609-4840},
	MRCLASS = {65-06},
	MRNUMBER = {3824767},
	DOI = {10.1515/cmam-2018-0011},
	URL = {https://www.degruyter.com/view/j/cmam.2018.18.issue-3/cmam-2018-0011/cmam-2018-0011.xml?format=INT},
}

@article{AD16,
	AUTHOR = {Alnashri, Yahya and Droniou, J\'er\^ome},
	TITLE = {A {G}radient {D}iscretization {M}ethod to {A}nalyze
			  {N}umerical {S}chemes for {N}onlinear {V}ariational
			  {I}nequalities, {A}pplication to the {S}eepage {P}roblem},
	JOURNAL = {SIAM J. Numer. Anal.},
	FJOURNAL = {SIAM Journal on Numerical Analysis},
	VOLUME = {56},
	YEAR = {2018},
	NUMBER = {4},
	PAGES = {2375--2405},
	ISSN = {0036-1429},
	MRCLASS = {65K15 (35J87 65N12 65N30 76S05)},
	MRNUMBER = {3840892},
	DOI = {10.1137/16M1105517},
	URL={https://arxiv.org/abs/1611.08338},
}


@article{AD17,
	AUTHOR = {Anderson, Daniel and Droniou, J\'er\^ome},
	TITLE = {An arbitrary-order scheme on generic meshes for miscible
		    displacements in porous media},
	JOURNAL = {SIAM J. Sci. Comput.},
	FJOURNAL = {SIAM Journal on Scientific Computing},
	VOLUME = {40},
	YEAR = {2018},
	NUMBER = {4},
	PAGES = {B1020--B1054},
	ISSN = {1064-8275},
	MRCLASS = {65M60 (65M08 65M12 76S05)},
	MRNUMBER = {3825617},
	DOI = {10.1137/17M1138807},
	URL={https://arxiv.org/abs/1707.04038},
}

@article{DDM17,
	TITLE = {Discontinuous skeletal gradient discretisation methods on
		      polytopal meshes},
	AUTHOR = {Di Pietro, Daniele A. and Droniou, J\'er\^ome and Manzini,
		      Gianmarco},
	JOURNAL = {J. Comput. Phys.},
	FJOURNAL = {Journal of Computational Physics},
	VOLUME = {355},
	YEAR = {2018},
	PAGES = {397--425},
	DOI = {10.1016/j.jcp.2017.11.018},
	URL={https://arxiv.org/abs/1706.09683},
}

@article{DT17,
	TITLE={Analysis of miscible displacement through porous media with vanishing molecular diffusion and singular wells},
	AUTHOR={Droniou, J\'er\^ome and Talbot, Kyle S.},
	JOURNAL = {Ann. Inst. H. Poincar\'e (C) Anal. Non Lin\'eaire},
	FJOURNAL={Annales de l'Institut Henri Poincare (C) Analyse Non Lin\'eaire},
	YEAR={2018},
	VOLUME={35},
	NUMBER={1},
	PAGES={1--25},
	DOI={10.1016/j.anihpc.2017.02.002},
	URL={https://arxiv.org/abs/1609.03244},
}

@article{DN17,
	AUTHOR = {Droniou, J\'er\^ome and Nataraj, Neela},
	TITLE = {Improved {$L^2$} estimate for gradient schemes and
		      super-convergence of the {TPFA} finite volume scheme},
	JOURNAL = {IMA J. Numer. Anal.},
	FJOURNAL = {IMA Journal of Numerical Analysis},
	VOLUME = {38},
	YEAR = {2018},
	NUMBER = {3},
	PAGES = {1254--1293},
	ISSN = {0272-4979},
	MRCLASS = {65N08 (65N12)},
	MRNUMBER = {3829161},
	DOI = {10.1093/imanum/drx028},
	URL={https://arxiv.org/abs/1602.07359},
}



@article{DNS17,
	AUTHOR = {Droniou, J\'{e}rome and Nataraj, Neela and Shylaja, Devika},
	TITLE = {Numerical analysis for the pure Neumann control problem using the gradient discretisation method},
	JOURNAL = {Comput. Methods Appl. Math.},
	VOLUME = {18},
	YEAR = {2018},
	NUMBER = {4},
	PAGES = {609--637},
	DOI = {10.1515/cmam-2017-0054},
	URL={https://arxiv.org/abs/1705.03256},
}


@article{DND16,
	AUTHOR = {Droniou, J\'erome and Nataraj, Neela and Shylaja, Devika},
	TITLE = {The gradient discretization method for optimal control
		      problems, with superconvergence for nonconforming finite
		      elements and mixed-hybrid mimetic finite differences},
	JOURNAL = {SIAM J. Control Optim.},
	FJOURNAL = {SIAM Journal on Control and Optimization},
	VOLUME = {55},
	YEAR = {2017},
	NUMBER = {6},
	PAGES = {3640--3672},
	DOI = {10.1137/17M1117768},
	URL={https://arxiv.org/abs/1608.01726},
}


@article{DD15,
	TITLE = {A Hybrid High-Order method for Leray--Lions elliptic
equations on general meshes},
	AUTHOR = {Di Pietro, Daniele A. and Droniou, J\'er\^ome},
	YEAR = {2017},
  JOURNAL = {Math. Comp.},
	VOLUME = {86},
	NUMBER = {307},
  FJOURNAL = {Mathematics of Computation},
	PAGES = {2159--2191},
	DOI={10.1090/mcom/3180},
	URL={http://arxiv.org/abs/1508.01918},
}


@article{DD17,
	AUTHOR = {Di Pietro, Daniele A. and Droniou, J\'er\^ome},
	TITLE = {
          {$W^{s,p}$}-approximation properties of elliptic projectors on
		      polynomial spaces, with application to the error analysis of a
		      {H}ybrid {H}igh-{O}rder discretisation of {L}eray--{L}ions
		      problems},
	JOURNAL = {Math. Models Methods Appl. Sci.},
	FJOURNAL = {Mathematical Models and Methods in Applied Sciences},
	VOLUME = {27},
	YEAR = {2017},
	NUMBER = {5},
	PAGES = {879--908},
	ISSN = {0218-2025},
	MRCLASS = {65N08 (65N12 65N30)},
	MRNUMBER = {3636615},
	DOI = {10.1142/S0218202517500191},
	URL={https://arxiv.org/abs/1606.02832},
}



@article {DEH15,
  AUTHOR = {Droniou, J{\'e}r{\^o}me and Eymard, Robert and Herbin, Rapha\`ele},
  TITLE = {Gradient schemes: generic tools for the numerical analysis of diffusion equations},
  JOURNAL = {{M2AN} Math. Model. Numer. Anal.},
  VOLUME = {50},
  YEAR = {2016},
  NUMBER = {3},
  PAGES = {749--781},
  note={Special issue -- Polyhedral discretization for PDE},
  DOI={10.1051/m2an/2015079},
  URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-eymard-herbin_families-gs_M2AN.pdf},
}

@article{AD14,
	TITLE	=	{Gradient schemes for the {S}ignorini and the obstacle problems,
and application to hybrid mimetic mixed methods},
	AUTHOR = {Alnashri, Yahya and Droniou, J\'er\^ome},
	YEAR  = {2016},
	JOURNAL = {Computers and Mathematics with Applications},
	PAGES = {2788-2807},
	volume={72},
	DOI={10.1016/j.camwa.2016.10.004},
	URL={https://arxiv.org/abs/1502.05765},
}

@article{DET15,
	TITLE = {Convergence in {$C([0;T];L^2(\open))$} of weak solutions to perturbed doubly degenerate parabolic equations},
	AUTHOR = {Droniou, J\'er\^ome and Eymard, Robert and Talbot, Kyle S.},
	YEAR = {2016},
	JOURNAL = {J. Differential Equations},
	volume = {260},
	number	=	{11},
	pages={7821--7860},
	DOI={10.1016/j.jde.2016.02.004},
  URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-eymard-talbot_stability.pdf},
}

@article {DE15,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and Eymard, Robert},
     TITLE = {Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations},
   JOURNAL = {Numer. Math.},
    VOLUME = {132},
      YEAR = {2016},
    NUMBER = {4},
     PAGES = {721--766},
		DOI={10.1007/s00211-015-0733-6},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-eymard_unif-deg-parab.pdf},
}

@article {DEF14,
	 AUTHOR = {Droniou, J{\'e}r{\^o}me and Eymard, Robert and Feron, Pierre},
     TITLE = {Gradient {S}chemes for {S}tokes problem},
   JOURNAL = {IMA J. Numer. Anal.},
  FJOURNAL = {IMA Journal of Numerical Analysis},
    VOLUME = {36},
      YEAR = {2016},
    NUMBER = {4},
     PAGES = {1636--1669},
      ISSN = {0272-4979},
     CODEN = {IJNADN},
   MRCLASS = {Preliminary Data},
  MRNUMBER = {3556399},
       DOI = {10.1093/imanum/drv061},
       URL = {https://hal.archives-ouvertes.fr/hal-01070703/},
}

@article {DDE15,
    AUTHOR = {Di Pietro, Daniele A. and Droniou, J{\'e}r{\^o}me and Ern,
              Alexandre},
     TITLE = {A discontinuous-skeletal method for
              advection-diffusion-reaction on general meshes},
   JOURNAL = {{SIAM} J. {N}umer. {A}nal.},
  FJOURNAL = {SIAM Journal on Numerical Analysis},
    VOLUME = {53},
      YEAR = {2015},
    NUMBER = {5},
     PAGES = {2135--2157},
      ISSN = {0036-1429},
   MRCLASS = {65N30 (65N08 65N12 65N15)},
  MRNUMBER = {3395131},
       DOI = {10.1137/140993971},
       URL = {https://imag.umontpellier.fr/~droniou/articles/article_SINUM-dipietro_droniou_ern.pdf},
}
		
@article {DL14,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and Lamichhane, Bishnu P.},
     TITLE = {Gradient schemes for linear and non-linear elasticity
              equations},
   JOURNAL = {Numer. {M}ath.},
  FJOURNAL = {Numerische Mathematik},
    VOLUME = {129},
      YEAR = {2015},
    NUMBER = {2},
     PAGES = {251--277},
      ISSN = {0029-599X},
   MRCLASS = {65N30 (65N12 65N15 74B05 74B20)},
  MRNUMBER = {3300420},
MRREVIEWER = {Ignacio Romero},
       DOI = {10.1007/s00211-014-0636-y},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-lamichhane_gs-elasticity.pdf},
}
		

@article {DT14,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and Talbot, Kyle S.},
     TITLE = {On a miscible displacement model in porous media flow with
              measure data},
   JOURNAL = {{SIAM} {J}. {M}ath. {A}nal.},
  FJOURNAL = {SIAM Journal on Mathematical Analysis},
    VOLUME = {46},
      YEAR = {2014},
    NUMBER = {5},
     PAGES = {3158--3175},
      ISSN = {0036-1410},
   MRCLASS = {35Q35 (35D30 35K65 35K67 35R06 76S05)},
  MRNUMBER = {3259787},
MRREVIEWER = {Nader Masmoudi},
       DOI = {10.1137/130949294},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-talbot_SIMA.pdf},
}

@article {D13,
    AUTHOR = {Droniou, J\'er\^ome},
     TITLE = {Finite volume schemes for diffusion equations: introduction to
              and review of modern methods},
   JOURNAL = {Math. Models Methods Appl. Sci.},
  FJOURNAL = {Mathematical Models and Methods in Applied Sciences},
    VOLUME = {24},
      YEAR = {2014},
    NUMBER = {8},
     PAGES = {1575--1619},
      ISSN = {0218-2025},
   MRCLASS = {65N08 (35J25 65N12)},
  MRNUMBER = {3200243},
MRREVIEWER = {Srinivasan Natesan},
       DOI = {10.1142/S0218202514400041},
       URL = {http://hal.archives-ouvertes.fr/hal-00813613},
}
		
@article {DEGH12,
    AUTHOR = {Droniou, J\'er\^ome and Eymard, Robert and Gallou\"et, Thierry and
              Herbin, Raphaele},
     TITLE = {Gradient schemes: a generic framework for the discretisation
              of linear, nonlinear and nonlocal elliptic and parabolic
              equations},
   JOURNAL = {Math. Models Methods Appl. Sci.},
  FJOURNAL = {Mathematical Models and Methods in Applied Sciences},
    VOLUME = {23},
      YEAR = {2013},
    NUMBER = {13},
     PAGES = {2395--2432},
      ISSN = {0218-2025},
   MRCLASS = {65N30 (35J62 65M60)},
  MRNUMBER = {3109434},
MRREVIEWER = {Dominik Meidner},
       DOI = {10.1142/S0218202513500358},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-eymard-gallouet-herbin_gradient-schemes_m3as.pdf},
}
		
@article {AD11,
    AUTHOR = {Alfaro, Matthieu and Droniou, J{\'e}r{\^o}me},
     TITLE = {General fractal conservation laws arising from a model of
              detonations in gases},
   JOURNAL = {Appl. Math. Res. Express. AMRX},
  FJOURNAL = {Applied Mathematics Research Express. AMRX},
      YEAR = {2012},
		VOLUME = {2012},
    NUMBER = {2},
     PAGES = {127--151},
      ISSN = {1687-1200},
       URL = {https://imag.umontpellier.fr/~droniou/articles/alfaro-droniou_amrx.pdf},
}

@article {ADM11,
    AUTHOR = {Alfaro, Matthieu and Droniou, J{\'e}r{\^o}me and Matano,
              Hiroshi},
     TITLE = {Convergence rate of the {A}llen-{C}ahn equation to generalized
              motion by mean curvature},
   JOURNAL = {J. Evol. Equ.},
  FJOURNAL = {Journal of Evolution Equations},
    VOLUME = {12},
      YEAR = {2012},
    NUMBER = {2},
     PAGES = {267--294},
      ISSN = {1424-3199},
       DOI = {10.1007/s00028-011-0132-0},
       URL = {https://imag.umontpellier.fr/~droniou/articles/alfaro-droniou-matano_jee.pdf},
}
		
@article {BDM10,
    AUTHOR = {Beir{\~a}o da Veiga, Lourenco and Droniou, J{\'e}r{\^o}me and Manzini,
              Gianmarco},
     TITLE = {A unified approach for handling convection terms in finite
              volumes and mimetic discretization methods for elliptic
              problems},
   JOURNAL = {{IMA} {J}. {N}umer. {A}nal.},
  FJOURNAL = {IMA Journal of Numerical Analysis},
    VOLUME = {31},
      YEAR = {2011},
    NUMBER = {4},
     PAGES = {1357--1401},
      ISSN = {0272-4979},
     CODEN = {IJNADN},
       DOI = {10.1093/imanum/drq018},
       URL = {https://imag.umontpellier.fr/~droniou/articles/beirao-droniou-manzini.pdf},
}

@article {DLP10,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and Le Potier, Christophe},
     TITLE = {Construction and convergence study of schemes preserving the
              elliptic local maximum principle},
   JOURNAL = {{SIAM} {J}. {N}umer. {A}nal.},
  FJOURNAL = {SIAM Journal on Numerical Analysis},
    VOLUME = {49},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {459--490},
      ISSN = {0036-1429},
     CODEN = {SJNAAM},
       DOI = {10.1137/090770849},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-lepotier_sinum.pdf},
}

@article {CD09,
    AUTHOR = {Chainais-Hillairet, Claire and Droniou, J{\'e}r{\^o}me},
     TITLE = {Finite-volume schemes for noncoercive elliptic problems with
              {N}eumann boundary conditions},
   JOURNAL = {{IMA} {J}. {N}umer. {A}nal.},
  FJOURNAL = {IMA Journal of Numerical Analysis},
    VOLUME = {31},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {61--85},
      ISSN = {0272-4979},
     CODEN = {IJNADN},
       DOI = {10.1093/imanum/drp009},
       URL = {https://imag.umontpellier.fr/~droniou/articles/chainais-droniou_imajna.pdf},
}
		
@article {ADD09,
    AUTHOR = {Ag{\'e}las, L{\'e}o and Di Pietro, Daniele A. and Droniou,
              J{\'e}r{\^o}me},
     TITLE = {The {G} method for heterogeneous anisotropic diffusion on
              general meshes},
   JOURNAL = {{M2AN Math. Model. Numer. Anal.}},
  FJOURNAL = {M2AN. Mathematical Modelling and Numerical Analysis},
    VOLUME = {44},
      YEAR = {2010},
    NUMBER = {4},
     PAGES = {597--625},
      ISSN = {0764-583X},
       DOI = {10.1051/m2an/2010021},
       URL = {https://imag.umontpellier.fr/~droniou/articles/agelas-dipietro-droniou_m2an.pdf},
}

@article {DEGH09,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and Eymard, Robert and Gallou{\"e}t,
              Thierry and Herbin, Rapha{\`e}le},
     TITLE = {A unified approach to mimetic finite difference, hybrid finite
              volume and mixed finite volume methods},
   JOURNAL = {Math. Models Methods Appl. Sci.},
  FJOURNAL = {Mathematical Models \& Methods in Applied Sciences},
    VOLUME = {20},
      YEAR = {2010},
    NUMBER = {2},
     PAGES = {265--295},
      ISSN = {0218-2025},
   MRCLASS = {65N06 (65N08 65N12)},
  MRNUMBER = {2649153 (2011d:65318)},
MRREVIEWER = {Enrico Bertolazzi},
       DOI = {10.1142/S0218202510004222},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-eymard-gallouet-herbin_m3as.pdf},
}

@article {D09,
    AUTHOR = {Droniou, J{\'e}r{\^o}me},
     TITLE = {A numerical method for fractal conservation laws},
   JOURNAL = {Math. Comp.},
  FJOURNAL = {Mathematics of Computation},
    VOLUME = {79},
      YEAR = {2010},
    NUMBER = {269},
     PAGES = {95--124},
      ISSN = {0025-5718},
     CODEN = {MCMPAF},
   MRCLASS = {65M12 (35L60 35L65 45K05 76M12)},
  MRNUMBER = {2552219 (2011d:65251)},
MRREVIEWER = {Francis Filbet},
       DOI = {10.1090/S0025-5718-09-02293-5},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou_MC.pdf},
}
		
@article {DV08,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and V{\'a}zquez, Juan-Luis},
     TITLE = {Noncoercive convection-diffusion elliptic problems with
              {N}eumann boundary conditions},
   JOURNAL = {Calc. Var. Partial Differential Equations},
  FJOURNAL = {Calculus of Variations and Partial Differential Equations},
    VOLUME = {34},
      YEAR = {2009},
    NUMBER = {4},
     PAGES = {413--434},
      ISSN = {0944-2669},
   MRCLASS = {35J25 (35B30 47F05)},
  MRNUMBER = {2476418 (2010h:35073)},
       DOI = {10.1007/s00526-008-0189-y},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-vazquez_cvpde.pdf},
}

@article {DE08,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and Eymard, Robert},
     TITLE = {Study of the mixed finite volume method for {S}tokes and
              {N}avier-{S}tokes equations},
   JOURNAL = {Numer. {M}ethods {P}artial {D}ifferential {E}quations},
  FJOURNAL = {Numerical Methods for Partial Differential Equations. An
              International Journal},
    VOLUME = {25},
      YEAR = {2009},
    NUMBER = {1},
     PAGES = {137--171},
      ISSN = {0749-159X},
   MRCLASS = {65N06 (76D05 76M12)},
  MRNUMBER = {2473683 (2009k:65208)},
MRREVIEWER = {Laurent White},
       DOI = {10.1002/num.20333},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-eymard_nmpde.pdf},
}
		
@article {CD07,
    AUTHOR = {Chainais-Hillairet, Claire and Droniou, J{\'e}r{\^o}me},
     TITLE = {Convergence analysis of a mixed finite volume scheme for an
              elliptic-parabolic system modeling miscible fluid flows in
              porous media},
   JOURNAL = {{SIAM} {J}. {N}umer. {A}nal.},
  FJOURNAL = {SIAM Journal on Numerical Analysis},
    VOLUME = {45},
      YEAR = {2007},
    NUMBER = {5},
     PAGES = {2228--2258 (electronic)},
      ISSN = {0036-1429},
   MRCLASS = {76M12 (65N30 76S05)},
  MRNUMBER = {2346377 (2008i:76129)},
MRREVIEWER = {Jos{\'e} M. Amig{\'o}},
       DOI = {10.1137/060657236},
       URL = {https://imag.umontpellier.fr/~droniou/articles/chainais-droniou_sinum.pdf},
}

@article {DP07,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and Prignet, Alain},
     TITLE = {Equivalence between entropy and renormalized solutions for
              parabolic equations with smooth measure data},
   JOURNAL = {NoDEA Nonlinear Differential Equations Appl.},
  FJOURNAL = {NoDEA. Nonlinear Differential Equations and Applications},
    VOLUME = {14},
      YEAR = {2007},
    NUMBER = {1-2},
     PAGES = {181--205},
      ISSN = {1021-9722},
     CODEN = {NDEAFL},
   MRCLASS = {35K55 (35D99 35K20 35R05)},
  MRNUMBER = {2346459 (2009b:35177)},
MRREVIEWER = {Diego M. Maldonado},
       DOI = {10.1007/s00030-007-5018-z},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-prignet_nodea.pdf},
}
		
@article {ADV07,
    AUTHOR = {Alibaud, Natha{\"e}l and Droniou, J{\'e}r{\^o}me and Vovelle,
              Julien},
     TITLE = {Occurrence and non-appearance of shocks in fractal {B}urgers
              equations},
   JOURNAL = {J. Hyperbolic Differ. Equ.},
  FJOURNAL = {Journal of Hyperbolic Differential Equations},
    VOLUME = {4},
      YEAR = {2007},
    NUMBER = {3},
     PAGES = {479--499},
      ISSN = {0219-8916},
   MRCLASS = {35Q53 (35L67)},
  MRNUMBER = {2339805 (2008i:35198)},
MRREVIEWER = {Alp O. Eden},
       DOI = {10.1142/S0219891607001227},
       URL = {https://imag.umontpellier.fr/~droniou/articles/alibaud-droniou-vovelle_jhde.pdf},
}
		
@article {D06,
    AUTHOR = {Droniou, J{\'e}r{\^o}me},
     TITLE = {Finite volume schemes for fully non-linear elliptic equations
              in divergence form},
   JOURNAL = {{M2AN} Math. Model. Numer. Anal.},
  FJOURNAL = {M2AN. Mathematical Modelling and Numerical Analysis},
    VOLUME = {40},
      YEAR = {2006},
    NUMBER = {6},
     PAGES = {1069--1100},
      ISSN = {0764-583X},
   MRCLASS = {65N06 (35J65)},
  MRNUMBER = {2297105 (2008a:65196)},
MRREVIEWER = {Rodney Josu{\'e} Biezuner},
       DOI = {10.1051/m2an:2007001},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou_m2an2.pdf},
}
		
@article {DI06,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and Imbert, Cyril},
     TITLE = {Fractal first-order partial differential equations},
   JOURNAL = {Arch. Ration. Mech. Anal.},
  FJOURNAL = {Archive for Rational Mechanics and Analysis},
    VOLUME = {182},
      YEAR = {2006},
    NUMBER = {2},
     PAGES = {299--331},
      ISSN = {0003-9527},
   MRCLASS = {35F30 (35B25 35B45 35L65)},
  MRNUMBER = {2259335 (2009c:35037)},
MRREVIEWER = {Sergey Dashkovskiy},
       DOI = {10.1007/s00205-006-0429-2},
       URL = {https://imag.umontpellier.fr/~droniou/articles/nonlocmax.pdf},
}
		
@article {DE06,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and Eymard, Robert},
     TITLE = {A mixed finite volume scheme for anisotropic diffusion
              problems on any grid},
   JOURNAL = {Numer. {M}ath.},
  FJOURNAL = {Numerische Mathematik},
    VOLUME = {105},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {35--71},
      ISSN = {0029-599X},
     CODEN = {NUMMA7},
   MRCLASS = {65N06},
  MRNUMBER = {2257385 (2008d:65121)},
       DOI = {10.1007/s00211-006-0034-1},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-eymard_nummath.pdf},
}
		
@article {DIV04,
    AUTHOR = {Droniou, J\'er\^ome and Imbert, Cyril and Vovelle, Julien},
     TITLE = {An error estimate for the parabolic approximation of
              multidimensional scalar conservation laws with boundary
              conditions},
   JOURNAL = {Ann. Inst. H. Poincar\'e (C) Anal. Non Lin\'eaire},
  FJOURNAL = {Annales de l'Institut Henri Poincar\'e. (C) Analyse Non
              Lin\'eaire},
    VOLUME = {21},
      YEAR = {2004},
    NUMBER = {5},
     PAGES = {689--714},
      ISSN = {0294-1449},
   MRCLASS = {35L65 (35A35 35B25 35K60 65M15)},
  MRNUMBER = {2086755 (2005h:35228)},
MRREVIEWER = {Hermano Frid},
       DOI = {10.1016/j.anihpc.2003.11.001},
       URL = {https://imag.umontpellier.fr/~droniou/articles/paraestim-publi.pdf},
}

@article {DGH03,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and Gallou{\"e}t, Thierry and Herbin,
              Rapha{\`e}le},
     TITLE = {A finite volume scheme for a noncoercive elliptic equation
              with measure data},
   JOURNAL = {{SIAM} {J}. {N}umer. {A}nal.},
  FJOURNAL = {SIAM Journal on Numerical Analysis},
    VOLUME = {41},
      YEAR = {2003},
    NUMBER = {6},
     PAGES = {1997--2031 (electronic)},
      ISSN = {0036-1429},
   MRCLASS = {65N12 (35A35 35J25)},
  MRNUMBER = {2034602 (2005b:65117)},
       DOI = {10.1137/S0036142902405205},
       URL = {https://imag.umontpellier.fr/~droniou/articles/diracrev.pdf},
}

@article {DGV03,
    AUTHOR = {Droniou, J\'er\^ome and Gallou\"et, Thierry and Vovelle, Julien},
     TITLE = {Global solution and smoothing effect for a non-local
              regularization of a hyperbolic equation},
      NOTE = {Dedicated to Philippe B{\'e}nilan},
   JOURNAL = {J. Evol. Equ.},
  FJOURNAL = {Journal of Evolution Equations},
    VOLUME = {3},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {499--521},
      ISSN = {1424-3199},
   MRCLASS = {35L60 (35L45)},
  MRNUMBER = {2019032 (2004m:35168)},
MRREVIEWER = {L. Hsiao},
       DOI = {10.1007/s00028-003-0503-1},
       URL = {https://imag.umontpellier.fr/~droniou/articles/article-jee-dgv.pdf},
}

@article {D03-2,
    AUTHOR = {Droniou, J{\'e}r{\^o}me},
     TITLE = {Vanishing non-local regularization of a scalar conservation
              law},
   JOURNAL = {Electron. J. Differential Equations},
  FJOURNAL = {Electronic Journal of Differential Equations},
      YEAR = {2003},
     PAGES = {No. 117, 20 pp. (electronic)},
      ISSN = {1072-6691},
   MRCLASS = {35L65 (35S30)},
  MRNUMBER = {2022065 (2004k:35253)},
MRREVIEWER = {Alberto Parmeggiani},
       URL = {https://www.emis.de/journals/EJDE/Volumes/2003/117/abstr.html},
}

@article {DEHZ03,
    AUTHOR = {Droniou, J\'er\^ome and Eymard, Robert and Hilhorst, Danielle and Zhou, Xue Dong},
     TITLE = {Convergence of a finite-volume mixed finite-element method for
              an elliptic-hyperbolic system},
   JOURNAL = {{IMA} {J}. {N}umer. {A}nal.},
  FJOURNAL = {IMA Journal of Numerical Analysis},
    VOLUME = {23},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {507--538},
      ISSN = {0272-4979},
     CODEN = {IJNADN},
   MRCLASS = {65M60 (35M20 76M10 76M12 76S05)},
  MRNUMBER = {1987942 (2004f:65148)},
MRREVIEWER = {Michael Griebel},
       DOI = {10.1093/imanum/23.3.507},
       URL = {https://imag.umontpellier.fr/~droniou/articles/imajna.pdf},
}

@article {D03-1,
    AUTHOR = {Droniou, J\'er\^ome},
     TITLE = {Error estimates for the convergence of a finite volume
              discretization of convection-diffusion equations},
   JOURNAL = {J. {N}umer. {M}ath.},
  FJOURNAL = {Journal of Numerical Mathematics},
    VOLUME = {11},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {1--32},
      ISSN = {1570-2820},
   MRCLASS = {65N06 (65N15)},
  MRNUMBER = {1976437 (2004b:65162)},
MRREVIEWER = {Nikolay P. Moshkin},
       DOI = {10.1163/156939503322004873},
       URL = {https://imag.umontpellier.fr/~droniou/articles/jnm.pdf},
}

@article {DPP03,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and Porretta, Alessio and Prignet,
              Alain},
     TITLE = {Parabolic capacity and soft measures for nonlinear equations},
   JOURNAL = {Potential Anal.},
  FJOURNAL = {Potential Analysis. An International Journal Devoted to the
              Interactions between Potential Theory, Probability Theory,
              Geometry and Functional Analysis},
    VOLUME = {19},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {99--161},
      ISSN = {0926-2601},
     CODEN = {POANE2},
   MRCLASS = {35K55 (31C15 31C45)},
  MRNUMBER = {1976292 (2004c:35179)},
MRREVIEWER = {W. P. Ziemer},
       DOI = {10.1023/A:1023248531928},
       URL = {https://imag.umontpellier.fr/~droniou/articles/pota2.pdf},
}

@article {D03,
    AUTHOR = {Droniou, J{\'e}r{\^o}me},
     TITLE = {Global and local estimates for nonlinear noncoercive elliptic
              equations with measure data},
   JOURNAL = {Comm. Partial Differential Equations},
  FJOURNAL = {Communications in Partial Differential Equations},
    VOLUME = {28},
      YEAR = {2003},
    NUMBER = {1-2},
     PAGES = {129--153},
      ISSN = {0360-5302},
     CODEN = {CPDIDZ},
   MRCLASS = {35J60 (35B45 35R05)},
  MRNUMBER = {1974452 (2004b:35089)},
MRREVIEWER = {Rolando Magnanini},
       DOI = {10.1081/PDE-120019377},
       URL = {https://imag.umontpellier.fr/~droniou/articles/art-cpde.pdf},
}
		

@article {D02-2,
   AUTHOR = {Droniou, J{\'e}r{\^o}me},
     TITLE = {A density result in {S}obolev spaces},
   JOURNAL = {J. Math. Pures Appl.},
  FJOURNAL = {Journal de Math\'ematiques Pures et Appliqu\'ees. Neuvi\`eme
              S\'erie},
    VOLUME = {81},
      YEAR = {2002},
    NUMBER = {7},
     PAGES = {697--714},
      ISSN = {0021-7824},
     CODEN = {JMPAAM},
   MRCLASS = {46E35 (35J15)},
  MRNUMBER = {1968338 (2005a:46065)},
MRREVIEWER = {Maria A. Ragusa},
       DOI = {10.1016/S0021-7824(01)01241-7},
       URL = {https://imag.umontpellier.fr/~droniou/articles/jmpa.pdf},
}

@article {DG02,
   AUTHOR = {Droniou, J{\'e}r{\^o}me and Gallou{\"e}t, Thierry},
     TITLE = {Finite volume methods for convection-diffusion equations with
              right-hand side in {$H\minusone$}},
   JOURNAL = {{M2AN} Math. Model. Numer. Anal.},
  FJOURNAL = {M2AN. Mathematical Modelling and Numerical Analysis},
    VOLUME = {36},
      YEAR = {2002},
    NUMBER = {4},
     PAGES = {705--724},
      ISSN = {0764-583X},
   MRCLASS = {65N06 (65N12)},
  MRNUMBER = {1932310 (2003m:65192)},
MRREVIEWER = {Serge Piperno},
       DOI = {10.1051/m2an:2002031},
       URL = {https://imag.umontpellier.fr/~droniou/articles/m2an.pdf},
}

@article {D02-1,
   AUTHOR = {Droniou, J{\'e}r{\^o}me},
     TITLE = {Non-coercive linear elliptic problems},
   JOURNAL = {Potential Anal.},
  FJOURNAL = {Potential Analysis. An International Journal Devoted to the
              Interactions between Potential Theory, Probability Theory,
              Geometry and Functional Analysis},
    VOLUME = {17},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {181--203},
      ISSN = {0926-2601},
     CODEN = {POANE2},
   MRCLASS = {35J25 (35B65)},
  MRNUMBER = {1908676 (2003e:35060)},
MRREVIEWER = {Maurizio Chicco},
       DOI = {10.1023/A:1015709329011},
       URL = {https://imag.umontpellier.fr/~droniou/articles/pota.pdf},       
}
		
@article {DG01,
   AUTHOR = {Droniou, J\'er\^ome and Gallou{\"e}t, Thierry},
     TITLE = {A uniqueness result for quasilinear elliptic equations with
              measures as data},
   JOURNAL = {Rend. Mat. Appl. (Ser. VII)},
  FJOURNAL = {Rendiconti di Matematica e delle sue Applicazioni. Serie VII},
    VOLUME = {21},
      YEAR = {2001},
    NUMBER = {1-4},
     PAGES = {57--86},
      ISSN = {1120-7183},
     CODEN = {RNMTAN},
   MRCLASS = {35J60 (35J25 35R05)},
  MRNUMBER = {1884937 (2003d:35086)},
MRREVIEWER = {Maria A. Ragusa},
       URL = {https://imag.umontpellier.fr/~droniou/articles/rend.pdf},
}

@article {D00,
    AUTHOR = {Droniou, J{\'e}r{\^o}me},
     TITLE = {Solving convection-diffusion equations with mixed, {N}eumann
              and {F}ourier boundary conditions and measures as data, by a
              duality method},
   JOURNAL = {Adv. Differential Equations},
  FJOURNAL = {Advances in Differential Equations},
    VOLUME = {5},
      YEAR = {2000},
    NUMBER = {10-12},
     PAGES = {1341--1396},
      ISSN = {1079-9389},
   MRCLASS = {35J55 (35D05 35D10 35R05)},
  MRNUMBER = {1785678 (2001i:35073)},
MRREVIEWER = {Vitaly A. Volpert},
       URL = {https://imag.umontpellier.fr/~droniou/articles/ade.pdf},
}

@article {DR00,
    AUTHOR = {Droniou, J\'er\^ome and Raymond, Jean-Pierre},
     TITLE = {Optimal pointwise control of semilinear parabolic equations},
   JOURNAL = {Nonlinear Anal.},
  FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
              International Multidisciplinary Journal. Series A: Theory and
              Methods},
    VOLUME = {39},
      YEAR = {2000},
    NUMBER = {2, Ser. A: Theory Methods},
     PAGES = {135--156},
      ISSN = {0362-546X},
     CODEN = {NOANDD},
   MRCLASS = {49J20 (35K55)},
  MRNUMBER = {1722110 (2000i:49007)},
MRREVIEWER = {Werner Horn},
       DOI = {10.1016/S0362-546X(98)00170-9},
       URL = {https://imag.umontpellier.fr/~droniou/articles/nla.pdf},
}
		


@incollection {fvca10-thm,
	AUTHOR = {Droniou, J\'er\^ome and Laaziri, Mohamed and Masson, Roland},
     TITLE = {Thermodynamically Consistent discretisation of a Thermo-Hydro-Mechanical model},
 BOOKTITLE = {Finite volumes for complex applications {X}},
    SERIES = {Springer Proc. Math. Stat.},
    VOLUME = {432},
     PAGES = {265-273},
 PUBLISHER = {Springer, Cham},
      YEAR = {2023},
      URL = {https://hal.science/hal-04105527},
}

@incollection {ecmor,
	AUTHOR = {Bonaldi, Francesco and Brenner, Konstantin and Droniou, J\'er\^ome and Masson, Roland},
     TITLE = {Two-Phase Darcy Flows in Fractured and Deformable Porous Media, Convergence Analysis and Iterative Coupling},
 BOOKTITLE = {ECMOR XVII},
    SERIES = {},
    VOLUME = {2020},
     PAGES = {1-20},
 PUBLISHER = {European Association of Geoscientists \& Engineers},
      YEAR = {2020},
      DOI  = {10.3997/2214-4609.202035013},
}

@incollection {fvca9-hho_aniso,
	AUTHOR = {Droniou, J\'er\^ome},
     TITLE = {Interplay between diffusion anisotropy and mesh skewness in Hybrid High-Order schemes},
 BOOKTITLE = {Finite volumes for complex applications {IX}---methods,
              theoretical aspects, examples},
    SERIES = {Springer Proc. Math. Stat.},
    VOLUME = {323},
     PAGES = {3-23},
 PUBLISHER = {Springer, Cham},
      YEAR = {2020},
      URL = {https://arxiv.org/abs/2001.10804},
}

@incollection {fvca9-poromeca,
	AUTHOR = {Bonaldi, Francesco and Brenner, Konstantin and Droniou, J\'er\^ome and Masson, Roland},
     TITLE = {The gradient discretisation method for two-phase discrete fracture matrix models in deformable porous media},
 BOOKTITLE = {Finite volumes for complex applications {IX}},
    SERIES = {Springer Proc. Math. Stat.},
    VOLUME = {},
     PAGES = {8p},
 PUBLISHER = {Springer, Cham},
      YEAR = {2020},
      URL = {https://hal.archives-ouvertes.fr/hal-02454360},
}

@incollection{enumath2017,
  title     = {An introduction to the gradient discretisation method},
  author    = {Droniou, J\'er\^ome and Eymard, Robert and Gallou{\"e}t, Thierry and Guichard, Cindy and Herbin, Rapha{\`e}le},
  year      = {2019},
  doi       = {10.1007/978-3-319-96415-7_40},
  isbn      = {9783319964140},
  series    = {Lecture Notes in Computational Science and Engineering},
  publisher = {Springer-Verlag},
  pages     = {451--459},
  editor    = {Radu, {Florin Adrian} and Kundan, Kumar and Inga, Berre and Nordbotten, {Jan Martin} and Pop, {Iuliu Sorin}},
  booktitle = {Numerical Mathematics and Advanced Applications ENUMATH 2017},
}


@incollection {fvca8-agdm,
	AUTHOR = {Droniou, J. and Eymard, R.},
     TITLE = {The asymmetric gradient discretisation method},
 BOOKTITLE = {Finite volumes for complex applications {VIII}---methods and
              theoretical aspects},
    SERIES = {Springer Proc. Math. Stat.},
    VOLUME = {199},
     PAGES = {311--319},
 PUBLISHER = {Springer, Cham},
      YEAR = {2017},
       URL = {https://imag.umontpellier.fr/~droniou/articles/fvca8_nonsym-gdm-generalFV.pdf},
}

@incollection {fvca8-bench,
     AUTHOR = {Droniou, J\'er\^ome and Eymard, Robert},
     TITLE = {Benchmark: two hybrid mimetic mixed schemes for the lid-driven
              cavity},
 BOOKTITLE = {Finite volumes for complex applications {VIII}---methods and
              theoretical aspects},
    SERIES = {Springer Proc. Math. Stat.},
    VOLUME = {199},
     PAGES = {107--124},
 PUBLISHER = {Springer, Cham},
      YEAR = {2017},
       URL = {https://imag.umontpellier.fr/~droniou/articles/bench_hmm.pdf},
}

@incollection {fvca8-parab,
	AUTHOR = {Droniou, J. and Eymard, R. and Gallou\"et, T. and Guichard, C.
              and Herbin, R.},
     TITLE = {An error estimate for the approximation of linear parabolic
              equations by the gradient discretization method},
 BOOKTITLE = {Finite volumes for complex applications {VIII}---methods and
              theoretical aspects},
    SERIES = {Springer Proc. Math. Stat.},
    VOLUME = {199},
     PAGES = {371--379},
 PUBLISHER = {Springer, Cham},
      YEAR = {2017},
       URL = {https://imag.umontpellier.fr/~droniou/articles/fvca8_parabolic.pdf},
}

@incollection {fvca8-ellam,
		AUTHOR = {Cheng, Hanz Martin and Droniou, J\'er\^ome},
     TITLE = {Combining the hybrid mimetic mixed method and the {E}ulerian
              {L}agrangian localised adjoint method for approximating
              miscible flows in porous media},
 BOOKTITLE = {Finite volumes for complex applications {VIII}---hyperbolic,
              elliptic and parabolic problems},
    SERIES = {Springer Proc. Math. Stat.},
    VOLUME = {200},
     PAGES = {367--376},
 PUBLISHER = {Springer, Cham},
      YEAR = {2017},
       URL = {https://imag.umontpellier.fr/~droniou/articles/fvca8_hmm-ellam.pdf},
}


@incollection {fvca8-frac,
     AUTHOR = {Droniou, J. and Hennicker, J. and Masson, R.},
     TITLE = {Uniform-in-time convergence of numerical schemes for a
              two-phase discrete fracture model},
 BOOKTITLE = {Finite volumes for complex applications {VIII}---methods and
              theoretical aspects},
    SERIES = {Springer Proc. Math. Stat.},
    VOLUME = {199},
     PAGES = {275--283},
 PUBLISHER = {Springer, Cham},
      YEAR = {2017},
       URL = {https://imag.umontpellier.fr/~droniou/articles/fvca8_diphasic.pdf},
}


@incollection {CTAC14,
    AUTHOR = {Droniou, J\'er\^ome},
     TITLE = {Introduction to discrete functional analysis techniques for the numerical study of diffusion equations with irregular data},
 BOOKTITLE = {Proceedings of the 17th Biennial Computational Techniques and
Applications Conference ({CTAC}-2014, Canberra)},
	EDITOR={Jason Sharples and Judith Bunder},
    SERIES = {ANZIAM J.},
    VOLUME = {56},
     PAGES = {C101-C127},
      YEAR = {2015},
			URL	=	{http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/9365},
			DOI	=	{http://dx.doi.org/10.21914/anziamj.v56i0.9365},
}

@incollection {fvca7-14-3,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and Eymard, Robert and Guichard,
              Cindy},
     TITLE = {Uniform-in-time convergence of numerical schemes for
              {R}ichards' and {S}tefan's models},
 BOOKTITLE = {Finite volumes for complex applications. {VII}. {M}ethods and
              theoretical aspects (Berlin, 2014)},
    SERIES = {Springer Proc. Math. Stat.},
    VOLUME = {77},
     PAGES = {247--254},
 PUBLISHER = {Springer, Cham},
      YEAR = {2014},
   MRCLASS = {65M08 (65M06 65M12 65M60 76S05 80A22)},
  MRNUMBER = {3213355},
       DOI = {10.1007/978-3-319-05684-5_23},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-eymard-guichard_fvca7.pdf},
}
		
@incollection {fvca7-14-1,
    AUTHOR = {Droniou, J{\'e}r{\^o}me and Jakobsen, Espen R.},
     TITLE = {A uniformly converging scheme for fractal conservation laws},
 BOOKTITLE = {Finite volumes for complex applications. {VII}. {M}ethods and
              theoretical aspects ({B}erlin, 2014)},
    SERIES = {Springer Proc. Math. Stat.},
    VOLUME = {77},
     PAGES = {237--245},
 PUBLISHER = {Springer, Cham},
      YEAR = {2014},
   MRCLASS = {65M06 (65M08 65M12)},
  MRNUMBER = {3213354},
       DOI = {10.1007/978-3-319-05684-5_22},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-jakobsen_fvca7.pdf},  
}
		
@incollection {fvca7-14-2,
    AUTHOR = {Alnashri, Yahya and Droniou, J\'er\^ome},
     TITLE = {Gradient schemes for an obstacle problem},
 BOOKTITLE = {Finite volumes for complex applications. {VII}. {M}ethods and
              theoretical aspects ({B}erlin, 2014)},
    SERIES = {Springer Proc. Math. Stat.},
    VOLUME = {77},
     PAGES = {67--75},
 PUBLISHER = {Springer, Cham},
      YEAR = {2014},
   MRCLASS = {65K15},
  MRNUMBER = {3213337},
       DOI = {10.1007/978-3-319-05684-5_5},
       URL = {https://imag.umontpellier.fr/~droniou/articles/alnashri-droniou_fvca7.pdf},  
}

@article {ntmc-10,
    AUTHOR = {Droniou, J{\'e}r{\^o}me},
     TITLE = {Remarks on discretizations of convection terms in hybrid
              mimetic mixed methods},
		note={Proceedings of ``New Trends in Model Coupling''},
   JOURNAL = {Netw. Heterog. Media},
  FJOURNAL = {Networks and Heterogeneous Media},
    VOLUME = {5},
      YEAR = {2010},
    NUMBER = {3},
     PAGES = {545--563},
      ISSN = {1556-1801},
   MRCLASS = {65N08 (76M12)},
  MRNUMBER = {2670654 (2011f:65232)},
       DOI = {10.3934/nhm.2010.5.545},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou_ntmc.pdf},  
}

@incollection {fvca5-08b,
    AUTHOR = {Chainais-Hillairet, Claire and Droniou, J\'er\^ome and Eymard, Robert},
     TITLE = {Benchmark on Anisotropic Problems -- Use of the mixed finite volume method},
 BOOKTITLE = {Finite volumes for complex applications {V} (Aussois, 2008)},
     PAGES = {751--760},
 PUBLISHER = {ISTE, London},
      YEAR = {2008},
   MRCLASS = {65N06 (76M15)},
  MRNUMBER = {2451470 (2009k:65206)},
       URL = {https://imag.umontpellier.fr/~droniou/articles/chainais-droniou-eymard_benchfvca5.pdf},  
}
		
@incollection {fvca5-08,
    AUTHOR = {Droniou, J{\'e}r{\^o}me},
     TITLE = {A recipe to couple two finite volume schemes for elliptic
              problems},
 BOOKTITLE = {Finite volumes for complex applications {V} (Aussois, 2008)},
     PAGES = {69--86},
 PUBLISHER = {ISTE, London},
      YEAR = {2008},
   MRCLASS = {65N06 (35J25)},
  MRNUMBER = {2441447 (2009i:65192)},
MRREVIEWER = {Matthias Ehrhardt},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou_fvca5.pdf},  
}

@incollection {gaeta-05,
    AUTHOR = {Droniou, J{\'e}r{\^o}me},
     TITLE = {Fractal conservation laws: global smooth solutions and
              vanishing regularization},
 BOOKTITLE = {Fifth European Conference on Elliptic and Parabolic Problems: A special tribute to
the work of Haim Brezis (Gaeta 2004)},
    SERIES = {Progr. Nonlinear Differential Equations Appl.},
    VOLUME = {63},
     PAGES = {235--242},
 PUBLISHER = {Birkh\"auser, Basel},
      YEAR = {2005},
   MRCLASS = {35L65 (26A33 35A35 35B25 35S30)},
  MRNUMBER = {2176716 (2006e:35223)},
       DOI = {10.1007/3-7643-7384-9_24},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou_gaeta.pdf},
}

@incollection {fvca3-02,
   AUTHOR = {Droniou, J{\'e}r{\^o}me and Gallou{\"e}t, Thierry},
     TITLE = {A finite volume scheme for noncoercive {D}irichlet problems
              with right-hand sides in {$H\minusone$}},
 BOOKTITLE = {Finite volumes for complex applications, {III}
              ({P}orquerolles, 2002)},
     PAGES = {181--188},
 PUBLISHER = {Hermes Sci. Publ., Paris},
      YEAR = {2002},
   MRCLASS = {65N12 (65N06)},
  MRNUMBER = {2007416},
       URL = {https://imag.umontpellier.fr/~droniou/articles/droniou-gallouet_fvca3.pdf},
}

@incollection {cap-99,
   AUTHOR = {Droniou, J\'er\^ome and Elisseeff, Andr\'e and Paugam-Moisy, H\'el\`ene and Teytaud, Olivier},
     TITLE = {Contr\^ole de l'architecture et des repr\'esentations internes dans les r\'eseaux de neurones multicouches,},
 BOOKTITLE = {Actes de la Conf\'erence sur l'Apprentissage CAP'99 (Palaiseau, 1999)},
     PAGES = {185--194},
 PUBLISHER = {},
      YEAR = {1999},
}

@book{BDH10,
	title={Math\'ematiques et statistique pour les sciences de la nature
(mod\'eliser, comprendre et appliquer) [Mathematics and
statistics for the natural sciences (modelling, understanding and applying)]},
	author={Biau, G\'erard and Droniou, J\'er\^ome and Herzlich, Marc},
	series={Collection Enseignement Sup / Math\'ematiques},
	year={2010},
	pages={530p},
	publisher={EDP Sciences},
	note={ISBN 978-2-7598-0481-8},
}