Jérôme Droniou
Orcid: 0000-0002-3339-3053
According to our database1,
Jérôme Droniou
authored at least 66 papers
between 2003 and 2024.
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Bibliography
2024
The eXtended Virtual Element Method for elliptic problems with weakly singular solutions.
CoRR, 2024
A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations.
CoRR, 2024
Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates.
CoRR, 2024
CoRR, 2024
2023
J. Comput. Phys., April, 2023
An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency.
Found. Comput. Math., February, 2023
A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix fracture interfaces.
CoRR, 2023
Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity.
CoRR, 2023
Two arbitrary-order constraint-preserving schemes for the Yang-Mills equations on polyhedral meshes.
CoRR, 2023
2022
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem.
Math. Comput., September, 2022
J. Sci. Comput., 2022
A cost-effective nonlinear extremum-preserving finite volume scheme for highly anisotropic diffusion on Cartesian grids, with application to radiation belt dynamics.
J. Comput. Phys., 2022
Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces.
J. Comput. Phys., 2022
J. Comput. Appl. Math., 2022
CoRR, 2022
Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method.
CoRR, 2022
A Hybrid High-Order scheme for the stationary, incompressible magnetohydrodynamics equations.
CoRR, 2022
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix-fracture interfaces.
CoRR, 2022
Comput. Methods Appl. Math., 2022
A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes.
Comput. Math. Appl., 2022
2021
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence.
J. Comput. Phys., 2021
Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes.
CoRR, 2021
CoRR, 2021
Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media.
Comput. Math. Appl., 2021
Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models.
Adv. Comput. Math., 2021
2020
An Efficient Implementation of Mass Conserving Characteristic-Based Schemes in Two and Three Dimensions.
SIAM J. Sci. Comput., 2020
The Gradient Discretization Method for Slow and Fast Diffusion Porous Media Equations.
SIAM J. Numer. Anal., 2020
SIAM J. Numer. Anal., 2020
J. Sci. Comput., 2020
Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems.
CoRR, 2020
Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces.
CoRR, 2020
Design and convergence analysis of numerical methods for stochastic evolution equations with Leray-Lions operator.
CoRR, 2020
Interplay between diffusion anisotropy and mesh skewness in Hybrid High-Order schemes.
CoRR, 2020
Comput. Methods Appl. Math., 2020
2019
Numerische Mathematik, 2019
Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media.
Numerische Mathematik, 2019
J. Sci. Comput., 2019
Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling.
J. Comput. Phys., 2019
A Hybrid High-Order method for the incompressible Navier-Stokes equations based on Temam's device.
J. Comput. Phys., 2019
Unified Convergence Analysis of Numerical Schemes for a Miscible Displacement Problem.
Found. Comput. Math., 2019
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra.
CoRR, 2019
An efficient implementation of mass conserving characteristic-based schemes in 2D and 3D.
CoRR, 2019
2018
An Arbitrary-Order Scheme on Generic Meshes for Miscible Displacements in Porous Media.
SIAM J. Sci. Comput., 2018
A Gradient Discretization Method to Analyze Numerical Schemes for Nonlinear Variational Inequalities, Application to the Seepage Problem.
SIAM J. Numer. Anal., 2018
J. Comput. Phys., 2018
Numerical Analysis for the Pure Neumann Control Problem Using the Gradient Discretisation Method.
Comput. Methods Appl. Math., 2018
An Eclectic View on Numerical Methods for PDEs: Presentation of the Special Issue "Advanced Numerical Methods: Recent Developments, Analysis and Applications".
Comput. Methods Appl. Math., 2018
2017
The Gradient Discretization Method for Optimal Control Problems, with Superconvergence for Nonconforming Finite Elements and Mixed-Hybrid Mimetic Finite Differences.
SIAM J. Control. Optim., 2017
Math. Comput., 2017
2016
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations.
Numerische Mathematik, 2016
Gradient schemes for the Signorini and the obstacle problems, and application to hybrid mimetic mixed methods.
Comput. Math. Appl., 2016
2015
SIAM J. Numer. Anal., 2015
Numerische Mathematik, 2015
2014
SIAM J. Math. Anal., 2014
2011
Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle.
SIAM J. Numer. Anal., 2011
2010
Networks Heterog. Media, 2010
2007
Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media.
SIAM J. Numer. Anal., 2007
2006
Numerische Mathematik, 2006
2003
SIAM J. Numer. Anal., 2003
Error estimates for the convergence of a finite volume discretization of convection-diffusion equations.
J. Num. Math., 2003