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math.NA2026
A higher order polytopal method for contact mechanics with Tresca friction
Jerome Droniou, Raman Kumar, Roland Masson +1
In this work, we design and analyze a Discrete de Rham (DDR) scheme for a contact mechanics problem involving fractures along which a model of Tresca friction is considered. Our ap…
math.NA2024
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…
math.NA2024
A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix fracture interfaces
Jérôme Droniou, Guillaume Enchéry, Isabelle Faille +2
The objective of this article is to address the discretisation of fractured/faulted poromechanical models using 3D polyhedral meshes in order to cope with the geometrical complexit…