Jérôme Droniou

1. A mixed finite volume scheme for anisotropic diffusion problems on any\n grid
   2006/04/03 by Jérôme Droniou, Droniou, Jérôme, Robert Eymard +1 · 3 citations
   Computer Science · Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Computational Geometry and Mesh Generation #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Numerical Analysis (math.NA)
2. A Hybrid High-Order method for Leray-Lions elliptic equations on general\n meshes
   2015/08/08 by Daniele A. Di Pietro, Jérôme Droniou, Di Pietro, Daniele A. +1 · 5 citations
   Engineering · Physics and Astronomy · #65N08 #65N12 #65N30 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
3. An exterior calculus framework for polytopal methods
   2023/03/20 by Francesco Bonaldi, Bonaldi, Francesco, Daniele A. Di Pietro +5 · 6 citations
   Engineering · Mathematics · #14F40 #65N30 #65N99 #Advanced Numerical Analysis Techniques #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
4. Unified convergence analysis of numerical schemes for a miscible\n displacement problem
   2017/07/19 by Jérôme Droniou, Droniou, Jérôme, Robert Eymard +5 · 2 citations
   Computer Science · Engineering · #65M06 #65M08 #65M12 #65M60 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA)
5. Gradient schemes: generic tools for the numerical analysis of diffusion\n equations
   2015/05/11 by Jérôme Droniou, Droniou, Jerome, Robert Eymard +3 · 1 citation
   Computer Science · Mathematics · #65M08 #65M12 #65M60 #65N08 #65N12 #65N15 #65N30 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Mathematical Biology Tumor Growth #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA)
6. Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates
   2024/01/22 by Jérôme Droniou, Mohamed Laaziri, Droniou, Jerome +3 · 1 citation
   Engineering · #FOS: Mathematics #Fluid Dynamics Simulations and Interactions #Hydraulic Fracturing and Reservoir Analysis #Numerical Analysis (math.NA) #Numerical methods in engineering
7. A discrete trace theory for non-conforming polytopal hybrid discretisation methods
   2024/09/24 by Santiago Badia, Jérôme Droniou, Badia, Santiago +3 · 2 citations
   Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems
8. Numerical analysis of the stochastic Stefan problem
   2023/06/22 by Jérôme Droniou, Droniou, Jerome, Muhammad Awais Khan +3 · 1 citation
   Computer Science · Engineering · Materials Science · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Magnetic Properties and Applications #Numerical Analysis (math.NA) #Topology Optimization in Engineering
9. Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations
   2015/06/22 by Jerome Droniou, Jérôme Droniou, Robert Eymard · 1 citation
   Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Compact space #Convergence (economics) #Degenerate energy levels #Elliptic partial differential equation #Finite element method #Numerical analysis #Numerical methods for differential equations #Parabolic partial differential equation #Partial differential equation #cs.NA #math.NA #msc:35K65 #msc:46N40 #msc:65M12
10. Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise
    2024/12/18 by Jérôme Droniou, Droniou, Jerome, Kim Ngan Le +3 · 2 citations
    Chemical Engineering · Engineering · Physics and Astronomy · #60H15 #60H35 #60J22 #65C20 #65C30 #65C40 #65M12 #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Numerical Analysis (math.NA) #Probability (math.PR) #Rheology and Fluid Dynamics Studies
11. From Finite Elements to Hybrid High-Order methods
    2025/03/01 by Daniele A. Di Pietro, Jérôme Droniou, Di Pietro, Daniele A. +1 · 2 citations
    Engineering · #65N12 #65N30 #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)