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Fully mixed virtual element schemes for steady-state poroelastic stress-assisted diffusion
Isaac Bermudez, Bryan Gomez-Vargas, Andres E. Rubiano, Ricardo Ruiz-Baier
https://arxiv.org/abs/2510.12307

Fully mixed virtual element schemes for steady-state poroelastic stress-assisted diffusion
We propose a fully mixed virtual element method for the numerical approximation of the coupling between stress-altered diffusion and linear elasticity equations with strong symmetry of total poroelastic stress (using the Hellinger--Reissner principle). A novelty of this work is that we introduce a less restrictive assumption on the stress-assisted diffusion coefficient, requiring an analysis of the perturbed diffusion equation using Banach spaces. The solvability of the continuous and discrete …