8 citations · 10 across the 12 of their papers we have counts for
5 papers · 1 filter
Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise
Jerome Droniou, Kim-Ngan Le, Jörn Wichmann
We propose and analyse a novel, fully discrete numerical algorithm for the approximation of the generalised Stokes system forced by transport noise -- a prototype model for non-New…
A discrete trace theory for non-conforming polytopal hybrid discretisation methods
Santiago Badia, Jerome Droniou, Jai Tushar
In this work we develop a discrete trace theory that spans non-conforming hybrid discretization methods and holds on polytopal meshes. A notion of a discrete trace seminorm is defi…
Analysis of a VEM-fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction
Jérôme Droniou, Ali Haidar, Roland Masson
This work performs the convergence analysis of the polytopal nodal discretisation of contact-mechanics (with Tresca friction) recently introduced in [18] in the framework of poro-e…
Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates
Jerome Droniou, Mohamed Laaziri, Roland Masson
In this study, we explore mixed-dimensional Thermo-Hydro-Mechanical (THM) models in fractured porous media accounting for Coulomb frictional contact at matrix fracture interfaces.…
A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations
Jérôme Droniou, Marien Hanot, Todd Oliynyk
We design in this work a discrete de Rham complex on manifolds. This complex, written in the framework of exterior calculus, has the same cohomology as the continuous de Rham compl…