Publications
Journal Articles
A posteriori error analysis of two mixed formulations for a coupled Brinkman–Forchheimer and convection-diffusion-reaction system
A. J. Bustos and S. Caucao, A posteriori error analysis of two mixed formulations for a coupled Brinkman–Forchheimer and convection-diffusion-reaction system. J. Comput. Appl. Math. 494 (2027), Paper No. 118277.
A perturbed threefold saddle-point formulation yielding new mixed finite element methods for poroelasticity with reduced symmetry
A. J. Bustos, G. N. Gatica, R. Ruiz-Baier and B. N. Venegas, A perturbed threefold saddle-point formulation yielding new mixed finite element methods for poroelasticity with reduced symmetry. ESAIM: M2AN, accepted for publication.
Mixed-primal and fully-mixed formulations for the convection-diffusion-reaction system based upon Brinkman–Forchheimer equations
A. J. Bustos, S. Caucao and G. N. Gatica, Mixed-primal and fully-mixed formulations for the convection-diffusion-reaction system based upon Brinkman–Forchheimer equations. Comput. Math. Appl. 207 (2026), 222–249.
New Fully Mixed Finite Element Methods for the Coupled Convective Brinkman–Forchheimer and Nonlinear Transport Equations
A. J. Bustos, S. Caucao, G. N. Gatica and B. N. Venegas, New fully mixed finite element methods for the coupled convective Brinkman–Forchheimer and nonlinear transport equations. J. Sci. Comput. 104 (2025), no. 2, Paper No. 64, 45 pp.
Preprints
Fully mixed finite element methods for the coupling of viscoelasticity and reaction-diffusion models
A. J. Bustos, J. J. Lee and R. Ruiz-Baier, Fully mixed finite element methods for the coupling of viscoelasticity and reaction-diffusion models. arXiv:2610.03317 [math.NA], 2026.
Risk-averse optimization under distributional uncertainty with Rockafellian relaxation
H. Antil, A. J. Bustos, S. P. Carney, and B. Venegas, Risk-averse optimization under distributional uncertainty with Rockafellian relaxation. Preprint, arXiv:2604.00226 [math.OC], 2026. Available at https://arxiv.org/abs/2604.00226.
A Banach space mixed formulation for the unsteady Brinkman problem with spatially varying porosity
A. J. Bustos and S. Caucao, A Banach space mixed formulation for the unsteady Brinkman problem with spatially varying porosity. Preprint, Universidad de Concepción (2025). Available at https://www.ci2ma.udec.cl/pdf/pre-publicaciones2/2025/pp25-26.pdf.
Undergraduate thesis
A Banach space mixed formulation for the unsteady Brinkman problem with spatially varying porosity.
A. J. Bustos, A Banach space mixed formulation for the unsteady Brinkman problem with spatially varying porosity. Undergraduate thesis, Universidad de Concepción, 2025. Available at https://repositorio.udec.cl/items/bc57f140-1aec-435e-b914-1752e345c409.
Supervised by Prof. Sergio Caucao.