Jérôme Droniou

According to our database1, Jérôme Droniou authored at least 44 papers between 2003 and 2021.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.



In proceedings 
PhD thesis 


On csauthors.net:


An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence.
J. Comput. Phys., 2021

Robust Hybrid High-Order method on polytopal meshes with small faces.
CoRR, 2021

An arbitrary-order discrete de Rham complex on polyhedral meshes. Part II: Consistency.
CoRR, 2021

An arbitrary-order discrete de Rham complex on polyhedral meshes: Exactness, Poincaré inequalities, and consistency.
CoRR, 2021

Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models.
Adv. Comput. Math., 2021

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

High-order Mass-lumped Schemes for Nonlinear Degenerate Elliptic Equations.
SIAM J. Numer. Anal., 2020

Numerical Solution of a Two Dimensional Tumour Growth Model with Moving Boundary.
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

Non-conforming finite elements on polytopal meshes.
CoRR, 2020

Design and convergence analysis of numerical methods for stochastic evolution equations with Leray-Lions operator.
CoRR, 2020

Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media.
CoRR, 2020

Interplay between diffusion anisotropy and mesh skewness in Hybrid High-Order schemes.
CoRR, 2020

The Gradient Discretisation Method for Linear Advection Problems.
Comput. Methods Appl. Math., 2020

Numerical analysis of a two-phase flow discrete fracture matrix model.
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

The Hessian Discretisation Method for Fourth Order Linear Elliptic Equations.
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

Convergence analysis of a numerical scheme for a tumour growth model.
CoRR, 2019

An efficient implementation of mass conserving characteristic-based schemes in 2D and 3D.
CoRR, 2019

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

Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes.
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

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

A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes.
Math. Comput., 2017

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

A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes.
SIAM J. Numer. Anal., 2015

Gradient schemes for linear and non-linear elasticity equations.
Numerische Mathematik, 2015

On a Miscible Displacement Model in Porous Media Flow with Measure Data.
SIAM J. Math. Anal., 2014

Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle.
SIAM J. Numer. Anal., 2011

Remarks on discretizations of convection terms in Hybrid mimetic mixed methods.
Networks Heterog. Media, 2010

A numerical method for fractal conservation laws.
Math. Comput., 2010

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

A mixed finite volume scheme for anisotropic diffusion problems on any grid.
Numerische Mathematik, 2006

A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data.
SIAM J. Numer. Anal., 2003

Error estimates for the convergence of a finite volume discretization of convection-diffusion equations.
J. Num. Math., 2003