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math.NA2026
An augmented mixed finite element method for the Biot problem with nonlinear permeability
Felipe Lepe, Gonzalo Rivera, Ricardo Ruiz-Baier +1
In two and three dimensions, we analyze a mixed formulation of the nonlinear Biot equations in terms of the poroelastic stress tensor, the displacement, the pressure, and the rotat…
math.NA2026
A mixed virtual element discretization for the generalized Oseen problem
Felipe Lepe, Gonzalo Rivera
In this paper we introduce a mixed virtual element method to approximate the solution for the two dimensional generalized Oseen problem. We introduce the pseudostress as an additio…
math.NA2026
A locking-free mixed virtual element discretization for the two dimensional elasticity eigenvalue problem
Felipe Lepe, Gonzalo Rivera
In this paper, we propose and analyze a mixed virtual element method for the approximation of the eigenvalues and eigenfunctions of the two-dimensional elasticity eigenvalue proble…