6 papers
A locking-free nodal-based polytopal method for linear elasticity
Jerome Droniou, Raman Kumar
This work presents a Discrete de Rham (DDR) numerical scheme for solving linear elasticity problems on general polyhedral meshes, with a focus on preventing volumetric locking in t…
Commuting quasi-interpolators and Maxwell compactness for a polytopal de Rham complex
Théophile Chaumont-Frelet, Jérôme Droniou, Simon Lemaire
We establish Maxwell compactness results for the Discrete De Rham (DDR) polytopal complex: sequences in this polytopal complex with bounded discrete …
Efficient iterative linearised solvers for numerical approximations of stochastic Stefan problems
Muhammad Awais Khan, Jérôme Droniou, Kim-Ngan Le +1
We present iterative solvers to approximate the solution of numerical schemes for stochastic Stefan problems. After briefly talking about the convergence results, we tackle the que…
Analysis of BDDC preconditioners for non-conforming polytopal hybrid discretisation methods
Santiago Badia, Jerome Droniou, Jordi Manyer +1
In this work, we build on the discrete trace theory developed by Badia, Droniou, and Tushar (Foundations of Computational Mathematics, in press, 2025; \href{https://doi.org/10.1007…
Uniform Poincaré inequalities for the discrete de Rham complex of differential forms
Daniele Di Pietro, Jérôme Droniou, Marien-Lorenzo Hanot +1
In this paper we prove discrete Poincaré inequalities that are uniform in the mesh size for the discrete de Rham complex of differential forms developed in [Bonaldi, Di Pietro, Dro…
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…