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math.NA2024
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.…
math.NA2023
Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity
J Droniou, R Eymard, T Gallouët +2
We consider a general linear parabolic problem with extended time boundary conditions (including initial value problems and periodic ones), and approximate it by the implicit Euler…
math.NA2021
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem
Daniele A. Di Pietro, Jérôme Droniou
In this work we develop a novel fully discrete version of the plates complex, an exact Hilbert complex relevant for the mixed formulation of fourth-order problems. The derivation o…