Author

Alonso J. Bustos

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Preprint Oct 2026

Fully mixed finite element methods for the coupling of viscoelasticity and reaction-diffusion models

We propose and analyse a fully mixed finite element method for a two-way coupled mechanochemical model of calcium signalling in viscoelastic tissue. The mechanical response follows a Kelvin--Voigt law, with the elastic and viscous stresses, velocity, and spin tensor as unknowns, and the symmetry of the total stress imp...

Alonso J. Bustos, Jeonghun J. Lee, R. Ruiz-Baier · 0 citations

#diffusion models Oct 2026

A perturbed threefold saddle-point formulation yielding new mixed finite element methods for poroelasticity with reduced symmetry

We propose and analyze new mixed finite element methods for the linear poroelasticity problem, which models the coupled phenomena of fluid diffusion and solid deformation. The formulation is based on the introduction of the vorticity and the strain tensor as auxiliary unknowns, which makes it possible to eliminate t...

Alonso J. Bustos, G. Gatica, R. Ruiz-Baier et al. · ESAIM: Mathematical Modellin... · 0 citations