Droniou, Jérome; Laaziri, Mohamed; Masson, Roland Thermodynamically consistent discretisation of a thermo-hydro-mechanical model. (English) Zbl 07781707 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 265-273 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65M06 65N08 65M12 65M15 76S05 74F10 74F05 74L10 74B10 86A15 86A05 76M12 74S05 PDFBibTeX XMLCite \textit{J. Droniou} et al., Springer Proc. Math. Stat. 432, 265--273 (2023; Zbl 07781707) Full Text: DOI
Di Pietro, Daniele A.; Droniou, Jérôme Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. (English) Zbl 1516.65127 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 191-225 (2023). MSC: 65N30 65N12 58A12 78A30 76D07 35R09 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{J. Droniou}, ESAIM, Math. Model. Numer. Anal. 57, No. 1, 191--225 (2023; Zbl 1516.65127) Full Text: DOI arXiv
Di Pietro, Daniele A.; Droniou, Jérôme An arbitrary-order discrete de Rham complex on polyhedral meshes: exactness, Poincaré inequalities, and consistency. (English) Zbl 1512.65263 Found. Comput. Math. 23, No. 1, 85-164 (2023). Reviewer: Sebastian Franz (Dresden) MSC: 65N30 65N12 65N15 58A12 78A30 78M10 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{J. Droniou}, Found. Comput. Math. 23, No. 1, 85--164 (2023; Zbl 1512.65263) Full Text: DOI arXiv
Di Pietro, Daniele A.; Droniou, Jérôme A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. (English) Zbl 1503.74107 Math. Comput. 92, No. 339, 51-77 (2023). MSC: 74S05 74K20 65N15 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{J. Droniou}, Math. Comput. 92, No. 339, 51--77 (2023; Zbl 1503.74107) Full Text: DOI arXiv
Dahmen, Nour; Droniou, Jérôme; Rogier, François A cost-effective nonlinear extremum-preserving finite volume scheme for highly anisotropic diffusion on Cartesian grids, with application to radiation belt dynamics. (English) Zbl 07536760 J. Comput. Phys. 463, Article ID 111258, 19 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{N. Dahmen} et al., J. Comput. Phys. 463, Article ID 111258, 19 p. (2022; Zbl 07536760) Full Text: DOI arXiv
Bonaldi, Francesco; Droniou, Jérôme; Masson, Roland; Pasteau, Antoine Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces. (English) Zbl 07518076 J. Comput. Phys. 455, Article ID 110984, 28 p. (2022). MSC: 65Nxx 76Sxx 76Mxx PDFBibTeX XMLCite \textit{F. Bonaldi} et al., J. Comput. Phys. 455, Article ID 110984, 28 p. (2022; Zbl 07518076) Full Text: DOI arXiv
Droniou, Jérôme; Yemm, Liam Robust hybrid high-order method on polytopal meshes with small faces. (English) Zbl 1482.65204 Comput. Methods Appl. Math. 22, No. 1, 47-71 (2022). MSC: 65N08 65N12 65N15 PDFBibTeX XMLCite \textit{J. Droniou} and \textit{L. Yemm}, Comput. Methods Appl. Math. 22, No. 1, 47--71 (2022; Zbl 1482.65204) Full Text: DOI arXiv
Cheng, Hanz Martin; Droniou, Jérôme; Le, Kim-Ngan A combined GDM-ELLAM-MMOC scheme for advection dominated PDEs. (English) Zbl 1481.65170 J. Comput. Appl. Math. 404, Article ID 113878, 23 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 65M25 65M60 76S05 PDFBibTeX XMLCite \textit{H. M. Cheng} et al., J. Comput. Appl. Math. 404, Article ID 113878, 23 p. (2022; Zbl 1481.65170) Full Text: DOI arXiv
Bonaldi, Francesco; Brenner, Konstantin; Droniou, Jérôme; Masson, Roland; Pasteau, Antoine; Trenty, Laurent Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces. (English) Zbl 1482.65180 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1741-1777 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M08 65H10 65F10 65M12 35D30 76S05 74B10 74L10 76M12 74S05 PDFBibTeX XMLCite \textit{F. Bonaldi} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1741--1777 (2021; Zbl 1482.65180) Full Text: DOI arXiv
Cancès, Clément; Droniou, Jérôme; Guichard, Cindy; Manzini, Gianmarco; Olivares, Manuela Bastidas; Pop, Iuliu Sorin Error estimates for the gradient discretisation method on degenerate parabolic equations of porous medium type. (English) Zbl 1470.76097 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 37-72 (2021). MSC: 76S05 76M10 PDFBibTeX XMLCite \textit{C. Cancès} et al., SEMA SIMAI Springer Ser. 27, 37--72 (2021; Zbl 1470.76097) Full Text: DOI
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle Non-conforming finite elements on polytopal meshes. (English) Zbl 1470.76053 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 1-35 (2021). MSC: 76M10 PDFBibTeX XMLCite \textit{J. Droniou} et al., SEMA SIMAI Springer Ser. 27, 1--35 (2021; Zbl 1470.76053) Full Text: DOI arXiv
Bonaldi, Francesco; Brenner, Konstantin; Droniou, Jérôme; Masson, Roland Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media. (English) Zbl 1524.76443 Comput. Math. Appl. 98, 40-68 (2021). MSC: 76S05 65N30 76M12 65M12 65M60 76T06 PDFBibTeX XMLCite \textit{F. Bonaldi} et al., Comput. Math. Appl. 98, 40--68 (2021; Zbl 1524.76443) Full Text: DOI arXiv HAL
Droniou, Jérome; Nataraj, Neela; Shylaja, Devika Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models. (English) Zbl 1466.35176 Adv. Comput. Math. 47, No. 2, Paper No. 20, 28 p. (2021). MSC: 35J61 35J30 65N12 65N30 PDFBibTeX XMLCite \textit{J. Droniou} et al., Adv. Comput. Math. 47, No. 2, Paper No. 20, 28 p. (2021; Zbl 1466.35176) Full Text: DOI arXiv
Di Pietro, Daniele A.; Droniou, Jérôme; Rapetti, Francesca Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. (English) Zbl 1451.65173 Math. Models Methods Appl. Sci. 30, No. 9, 1809-1855 (2020). MSC: 65N08 65N30 65N99 PDFBibTeX XMLCite \textit{D. A. Di Pietro} et al., Math. Models Methods Appl. Sci. 30, No. 9, 1809--1855 (2020; Zbl 1451.65173) Full Text: DOI arXiv
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle The gradient discretisation method for linear advection problems. (English) Zbl 1451.65175 Comput. Methods Appl. Math. 20, No. 3, 437-458 (2020). MSC: 65N12 65N30 PDFBibTeX XMLCite \textit{J. Droniou} et al., Comput. Methods Appl. Math. 20, No. 3, 437--458 (2020; Zbl 1451.65175) Full Text: DOI arXiv
Bonaldi, Francesco; Brenner, Konstantin; Droniou, Jérôme; Masson, Roland The gradient discretisation method for two-phase discrete fracture matrix models in deformable porous media. (English) Zbl 1454.65112 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 295-303 (2020). MSC: 65M60 65M12 76S05 74B10 74F10 PDFBibTeX XMLCite \textit{F. Bonaldi} et al., Springer Proc. Math. Stat. 323, 295--303 (2020; Zbl 1454.65112) Full Text: DOI HAL
Droniou, Jerome Interplay between diffusion anisotropy and mesh skewness in hybrid high-order schemes. (English) Zbl 1454.65140 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 3-23 (2020). MSC: 65N08 65N50 65N15 PDFBibTeX XMLCite \textit{J. Droniou}, Springer Proc. Math. Stat. 323, 3--23 (2020; Zbl 1454.65140) Full Text: DOI arXiv
Droniou, Jérôme; Le, Kim-Ngan The gradient discretization method for slow and fast diffusion porous media equations. (English) Zbl 1447.65048 SIAM J. Numer. Anal. 58, No. 3, 1965-1992 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M08 65M12 65M60 76S05 PDFBibTeX XMLCite \textit{J. Droniou} and \textit{K.-N. Le}, SIAM J. Numer. Anal. 58, No. 3, 1965--1992 (2020; Zbl 1447.65048) Full Text: DOI arXiv
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle A unified analysis of elliptic problems with various boundary conditions and their approximation. (English) Zbl 1513.65498 Czech. Math. J. 70, No. 2, 339-368 (2020). MSC: 65N99 65J05 47A58 PDFBibTeX XMLCite \textit{J. Droniou} et al., Czech. Math. J. 70, No. 2, 339--368 (2020; Zbl 1513.65498) Full Text: DOI arXiv
Cheng, Hanz Martin; Droniou, Jérôme An efficient implementation of mass conserving characteristic-based schemes in two and three dimensions. (English) Zbl 1447.65061 SIAM J. Sci. Comput. 42, No. 2, A1071-A1096 (2020). Reviewer: Victor Michel-Dansac (Strasbourg) MSC: 65M25 65M08 65K10 PDFBibTeX XMLCite \textit{H. M. Cheng} and \textit{J. Droniou}, SIAM J. Sci. Comput. 42, No. 2, A1071--A1096 (2020; Zbl 1447.65061) Full Text: DOI arXiv
Droniou, Jerome; Eymard, Robert High-order mass-lumped schemes for nonlinear degenerate elliptic equations. (English) Zbl 1447.65116 SIAM J. Numer. Anal. 58, No. 1, 153-188 (2020). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N12 65N15 65N30 35J70 PDFBibTeX XMLCite \textit{J. Droniou} and \textit{R. Eymard}, SIAM J. Numer. Anal. 58, No. 1, 153--188 (2020; Zbl 1447.65116) Full Text: DOI arXiv
Droniou, Jérôme; Medla, Matej; Mikula, Karol Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling. (English) Zbl 1453.65389 J. Comput. Phys. 398, Article ID 108876, 28 p. (2019). MSC: 65N08 65N15 35J05 86A04 PDFBibTeX XMLCite \textit{J. Droniou} et al., J. Comput. Phys. 398, Article ID 108876, 28 p. (2019; Zbl 1453.65389) Full Text: DOI arXiv
Botti, Lorenzo; Di Pietro, Daniele A.; Droniou, Jérôme A hybrid high-order method for the incompressible Navier-Stokes equations based on Temam’s device. (English) Zbl 1416.76205 J. Comput. Phys. 376, 786-816 (2019). MSC: 76M25 65M60 65M12 76D05 PDFBibTeX XMLCite \textit{L. Botti} et al., J. Comput. Phys. 376, 786--816 (2019; Zbl 1416.76205) Full Text: DOI
Droniou, Jérôme; Lamichhane, Bishnu P.; Shylaja, Devika The Hessian discretisation method for fourth order linear elliptic equations. (English) Zbl 1418.35125 J. Sci. Comput. 78, No. 3, 1405-1437 (2019). MSC: 35J30 65N30 65N08 PDFBibTeX XMLCite \textit{J. Droniou} et al., J. Sci. Comput. 78, No. 3, 1405--1437 (2019; Zbl 1418.35125) Full Text: DOI arXiv
Droniou, Jérôme; Eymard, Robert; Prignet, Alain; Talbot, Kyle S. Unified convergence analysis of numerical schemes for a miscible displacement problem. (English) Zbl 1411.65109 Found. Comput. Math. 19, No. 2, 333-374 (2019). MSC: 65M06 65M08 65M12 65M60 PDFBibTeX XMLCite \textit{J. Droniou} et al., Found. Comput. Math. 19, No. 2, 333--374 (2019; Zbl 1411.65109) Full Text: DOI arXiv
Cheng, Hanz Martin; Droniou, Jérôme; Le, Kim-Ngan Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media. (English) Zbl 1426.65133 Numer. Math. 141, No. 2, 353-397 (2019). Reviewer: Song Jiang (Beijing) MSC: 65M08 65-02 65M12 65M25 65M60 76S05 PDFBibTeX XMLCite \textit{H. M. Cheng} et al., Numer. Math. 141, No. 2, 353--397 (2019; Zbl 1426.65133) Full Text: DOI arXiv
Droniou, Jérôme; Hennicker, Julian; Masson, Roland Numerical analysis of a two-phase flow discrete fracture matrix model. (English) Zbl 1412.65103 Numer. Math. 141, No. 1, 21-62 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M60 76M12 76M10 76S05 65M12 35K51 35K55 46N40 PDFBibTeX XMLCite \textit{J. Droniou} et al., Numer. Math. 141, No. 1, 21--62 (2019; Zbl 1412.65103) Full Text: DOI arXiv HAL
Botti, Lorenzo; Di Pietro, Daniele A.; Droniou, Jérôme A hybrid high-order discretisation of the Brinkman problem robust in the Darcy and Stokes limits. (English) Zbl 1440.76052 Comput. Methods Appl. Mech. Eng. 341, 278-310 (2018). MSC: 76M10 76M12 65N30 65N08 76D07 76S05 PDFBibTeX XMLCite \textit{L. Botti} et al., Comput. Methods Appl. Mech. Eng. 341, 278--310 (2018; Zbl 1440.76052) Full Text: DOI arXiv
Droniou, Jérome; Nataraj, Neela; Shylaja, Devika Numerical analysis for the pure Neumann control problem using the gradient discretisation method. (English) Zbl 1415.49003 Comput. Methods Appl. Math. 18, No. 4, 609-637 (2018). MSC: 49J20 49M25 65N15 65N30 PDFBibTeX XMLCite \textit{J. Droniou} et al., Comput. Methods Appl. Math. 18, No. 4, 609--637 (2018; Zbl 1415.49003) Full Text: DOI arXiv
Di Pietro, Daniele A.; Droniou, Jérôme A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation. (English) Zbl 1459.65215 Calcolo 55, No. 3, Paper No. 40, 39 p. (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N12 65N15 65N30 65J10 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{J. Droniou}, Calcolo 55, No. 3, Paper No. 40, 39 p. (2018; Zbl 1459.65215) Full Text: DOI arXiv
Antonietti, Paola F. (ed.); Droniou, Jérôme (ed.); Eymard, Robert (ed.) Preface: An eclectic view on numerical methods for PDEs: presentation of the special issue “Advanced numerical methods: recent developments, analysis and applications”. (English) Zbl 1405.00031 Comput. Methods Appl. Math. 18, No. 3, 323-325 (2018). MSC: 00B25 65-06 35-06 PDFBibTeX XMLCite \textit{P. F. Antonietti} (ed.) et al., Comput. Methods Appl. Math. 18, No. 3, 323--325 (2018; Zbl 1405.00031) Full Text: DOI
Alnashri, Yahya; Droniou, Jérôme A gradient discretization method to analyze numerical schemes for nonlinear variational inequalities, application to the seepage problem. (English) Zbl 1397.35108 SIAM J. Numer. Anal. 56, No. 4, 2375-2405 (2018). MSC: 35J87 65N12 PDFBibTeX XMLCite \textit{Y. Alnashri} and \textit{J. Droniou}, SIAM J. Numer. Anal. 56, No. 4, 2375--2405 (2018; Zbl 1397.35108) Full Text: DOI arXiv
Anderson, Daniel; Droniou, Jérôme An arbitrary-order scheme on generic meshes for miscible displacements in porous media. (English) Zbl 1395.65068 SIAM J. Sci. Comput. 40, No. 4, B1020-B1054 (2018). MSC: 65M60 65M12 65M08 PDFBibTeX XMLCite \textit{D. Anderson} and \textit{J. Droniou}, SIAM J. Sci. Comput. 40, No. 4, B1020--B1054 (2018; Zbl 1395.65068) Full Text: DOI arXiv
Di Pietro, Daniele A.; Droniou, Jérôme; Manzini, Gianmarco Discontinuous skeletal gradient discretisation methods on polytopal meshes. (English) Zbl 1380.65414 J. Comput. Phys. 355, 397-425 (2018). MSC: 65N99 65N30 65N06 PDFBibTeX XMLCite \textit{D. A. Di Pietro} et al., J. Comput. Phys. 355, 397--425 (2018; Zbl 1380.65414) Full Text: DOI arXiv
Droniou, Jérome; Nataraj, Neela; Shylaja, Devika The gradient discretization method for optimal control problems, with superconvergence for nonconforming finite elements and mixed-hybrid mimetic finite differences. (English) Zbl 1375.49005 SIAM J. Control Optim. 55, No. 6, 3640-3672 (2017). MSC: 49J20 49M25 65N15 65N30 PDFBibTeX XMLCite \textit{J. Droniou} et al., SIAM J. Control Optim. 55, No. 6, 3640--3672 (2017; Zbl 1375.49005) Full Text: DOI arXiv
Cheng, Hanz Martin; Droniou, Jérôme Combining the hybrid mimetic mixed method and the Eulerian Lagrangian localised adjoint method for approximating miscible flows in porous media. (English) Zbl 1365.76302 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 367-376 (2017). MSC: 76S05 76M25 PDFBibTeX XMLCite \textit{H. M. Cheng} and \textit{J. Droniou}, Springer Proc. Math. Stat. 200, 367--376 (2017; Zbl 1365.76302) Full Text: DOI
Di Pietro, Daniele A.; Droniou, Jérôme \(W^{s,p}\)-approximation properties of elliptic projectors on polynomial spaces, with application to the error analysis of a hybrid high-order discretisation of Leray-Lions problems. (English) Zbl 1365.65251 Math. Models Methods Appl. Sci. 27, No. 5, 879-908 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N08 65N12 35J60 35J92 65N15 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{J. Droniou}, Math. Models Methods Appl. Sci. 27, No. 5, 879--908 (2017; Zbl 1365.65251) Full Text: DOI arXiv
Di Pietro, Daniele A.; Droniou, Jérôme A hybrid high-order method for Leray-Lions elliptic equations on general meshes. (English) Zbl 1364.65224 Math. Comput. 86, No. 307, 2159-2191 (2017). MSC: 65N08 35J60 35J92 65N30 65N12 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{J. Droniou}, Math. Comput. 86, No. 307, 2159--2191 (2017; Zbl 1364.65224) Full Text: DOI arXiv
Alnashri, Yahya; Droniou, Jérôme Gradient schemes for the Signorini and the obstacle problems, and application to hybrid mimetic mixed methods. (English) Zbl 1368.65101 Comput. Math. Appl. 72, No. 11, 2788-2807 (2016). MSC: 65K15 65N15 PDFBibTeX XMLCite \textit{Y. Alnashri} and \textit{J. Droniou}, Comput. Math. Appl. 72, No. 11, 2788--2807 (2016; Zbl 1368.65101) Full Text: DOI
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle Gradient schemes: generic tools for the numerical analysis of diffusion equations. (English) Zbl 1346.65042 ESAIM, Math. Model. Numer. Anal. 50, No. 3, 749-781 (2016). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M08 65M12 65M60 35K05 PDFBibTeX XMLCite \textit{J. Droniou} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 3, 749--781 (2016; Zbl 1346.65042) Full Text: DOI arXiv
Droniou, Jérôme; Eymard, Robert; Talbot, Kyle S. Convergence in \(C([0,T];L^{2}(\Omega))\) of weak solutions to perturbed doubly degenerate parabolic equations. (English) Zbl 1386.35176 J. Differ. Equations 260, No. 11, 7821-7860 (2016). MSC: 35K55 35D30 35K20 35K65 35K92 PDFBibTeX XMLCite \textit{J. Droniou} et al., J. Differ. Equations 260, No. 11, 7821--7860 (2016; Zbl 1386.35176) Full Text: DOI arXiv
Droniou, Jérôme; Eymard, Robert Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. (English) Zbl 1342.65180 Numer. Math. 132, No. 4, 721-766 (2016). Reviewer: Pavel Burda (Praha) MSC: 65M12 35K65 46N40 65M60 PDFBibTeX XMLCite \textit{J. Droniou} and \textit{R. Eymard}, Numer. Math. 132, No. 4, 721--766 (2016; Zbl 1342.65180) Full Text: DOI arXiv
Di Pietro, Daniele A.; Droniou, Jérôme; Ern, Alexandre A discontinuous-skeletal method for advection-diffusion-reaction on general meshes. (English) Zbl 1457.65194 SIAM J. Numer. Anal. 53, No. 5, 2135-2157 (2015). MSC: 65N30 65N08 65N12 65N15 PDFBibTeX XMLCite \textit{D. A. Di Pietro} et al., SIAM J. Numer. Anal. 53, No. 5, 2135--2157 (2015; Zbl 1457.65194) Full Text: DOI arXiv
Droniou, Jérôme; Lamichhane, Bishnu P. Gradient schemes for linear and non-linear elasticity equations. (English) Zbl 1309.74068 Numer. Math. 129, No. 2, 251-277 (2015). MSC: 74S05 74B05 74B20 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{J. Droniou} and \textit{B. P. Lamichhane}, Numer. Math. 129, No. 2, 251--277 (2015; Zbl 1309.74068) Full Text: DOI arXiv
Droniou, Jerome Finite volume schemes for diffusion equations: introduction to and review of modern methods. (English) Zbl 1291.65319 Math. Models Methods Appl. Sci. 24, No. 8, 1575-1619 (2014). MSC: 65N06 65N08 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{J. Droniou}, Math. Models Methods Appl. Sci. 24, No. 8, 1575--1619 (2014; Zbl 1291.65319) Full Text: DOI arXiv
Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. (English) Zbl 1281.65136 Math. Models Methods Appl. Sci. 23, No. 13, 2395-2432 (2013). Reviewer: Petr Sváček (Praha) MSC: 65N06 65M06 65M12 65N12 35J60 35K55 PDFBibTeX XMLCite \textit{J. Droniou} et al., Math. Models Methods Appl. Sci. 23, No. 13, 2395--2432 (2013; Zbl 1281.65136) Full Text: DOI
Droniou, Jérôme A numerical method for fractal conservation laws. (English) Zbl 1201.65163 Math. Comput. 79, No. 269, 95-124 (2010). Reviewer: Damian Słota (Gliwice) MSC: 65M12 35L65 35S10 65M06 45K05 PDFBibTeX XMLCite \textit{J. Droniou}, Math. Comput. 79, No. 269, 95--124 (2010; Zbl 1201.65163) Full Text: DOI
Agélas, Léo; di Pietro, Daniele A.; Droniou, Jérôme The G method for heterogeneous anisotropic diffusion on general meshes. (English) Zbl 1202.65143 ESAIM, Math. Model. Numer. Anal. 44, No. 4, 597-625 (2010). Reviewer: Ricardo Ruiz Baier (Lausanne) MSC: 65N08 65N12 35J25 PDFBibTeX XMLCite \textit{L. Agélas} et al., ESAIM, Math. Model. Numer. Anal. 44, No. 4, 597--625 (2010; Zbl 1202.65143) Full Text: DOI EuDML
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. (English) Zbl 1191.65142 Math. Models Methods Appl. Sci. 20, No. 2, 265-295 (2010). Reviewer: Angela Handlovičová (Bratislava) MSC: 65N08 65N12 65N06 35J25 65N15 PDFBibTeX XMLCite \textit{J. Droniou} et al., Math. Models Methods Appl. Sci. 20, No. 2, 265--295 (2010; Zbl 1191.65142) Full Text: DOI arXiv
Droniou, Jérôme; Vázquez, Juan-Luis Noncoercive convection-diffusion elliptic problems with Neumann boundary conditions. (English) Zbl 1167.35342 Calc. Var. Partial Differ. Equ. 34, No. 4, 413-434 (2009). MSC: 35J25 35D05 35B30 35K20 47B44 35B65 PDFBibTeX XMLCite \textit{J. Droniou} and \textit{J.-L. Vázquez}, Calc. Var. Partial Differ. Equ. 34, No. 4, 413--434 (2009; Zbl 1167.35342) Full Text: DOI
Droniou, Jérôme; Eymard, Robert Study of the mixed finite volume method for Stokes and Navier-Stokes equations. (English) Zbl 1153.76044 Numer. Methods Partial Differ. Equations 25, No. 1, 137-171 (2009). MSC: 76M12 76D05 76D07 65M12 PDFBibTeX XMLCite \textit{J. Droniou} and \textit{R. Eymard}, Numer. Methods Partial Differ. Equations 25, No. 1, 137--171 (2009; Zbl 1153.76044) Full Text: DOI HAL
Droniou, Jérôme Finite volume schemes for fully nonlinear elliptic equations in divergence form. (English) Zbl 1117.65154 ESAIM, Math. Model. Numer. Anal. 40, No. 6, 1069-1100 (2006). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65N30 35J65 65N12 65N50 PDFBibTeX XMLCite \textit{J. Droniou}, ESAIM, Math. Model. Numer. Anal. 40, No. 6, 1069--1100 (2006; Zbl 1117.65154) Full Text: DOI Numdam EuDML
Droniou, Jérôme; Eymard, Robert A mixed finite volume scheme for anisotropic diffusion problems on any grid. (English) Zbl 1109.65099 Numer. Math. 105, No. 1, 35-71 (2006). Reviewer: H. P. Dikshit (New Delhi) MSC: 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{J. Droniou} and \textit{R. Eymard}, Numer. Math. 105, No. 1, 35--71 (2006; Zbl 1109.65099) Full Text: DOI arXiv
Droniou, Jérôme A density result in Sobolev spaces. (English) Zbl 1033.46029 J. Math. Pures Appl. (9) 81, No. 7, 697-714 (2002). Reviewer: Stefan G. Samko (Faro) MSC: 46E35 35J15 PDFBibTeX XMLCite \textit{J. Droniou}, J. Math. Pures Appl. (9) 81, No. 7, 697--714 (2002; Zbl 1033.46029) Full Text: DOI
Droniou, Jérôme; Gallouët, Thierry Finite volume methods for convection-diffusion equations with right-hand side in \(H^{-1}\). (English) Zbl 1070.65566 M2AN, Math. Model. Numer. Anal. 36, No. 4, 705-724 (2002). MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{J. Droniou} and \textit{T. Gallouët}, M2AN, Math. Model. Numer. Anal. 36, No. 4, 705--724 (2002; Zbl 1070.65566) Full Text: DOI Numdam EuDML