Publications

The following list of publications reflects collaborative research carried out with colleagues, postdoctoral researchers, research assistants, and graduate and undergraduate students, to whom I am deeply grateful for their contributions and collaboration.

You can also find my publications on my Google Scholar and ResearchGate profiles.

Preprints Under Review

[8]
J. Camaño, S. Caucao, and C. Inzunza: A pseudostress-based fully mixed formulation for the unsteady Biot-Brinkman model. Preprint 2026-11, Grupo de Investigación en Análisis Numérico y Cálculo Científico (GIANuC²), Universidad Católica de la Santísima Concepción, (2026).
[7]
G.A. Benavides, S. Caucao, and G.N. Gatica: New skew-symmetry-based mixed finite element methods for the Navier-Stokes equations with variable viscosity. Preprint 2026-34, Centro de Investigación en Ingeniería Matemática (CI²MA), Universidad de Concepción, (2026).
[6]
J. Camaño, S. Caucao, and C. Inzunza: A locking-free mixed-primal formulation for the Biot-Brinkman-Forchheimer model. Preprint 2026-09, Grupo de Investigación en Análisis Numérico y Cálculo Científico (GIANuC²), Universidad Católica de la Santísima Concepción, (2026).
[5]
S. Caucao, X. Wang, and I. Yotov: Mathematical and numerical analysis of a fully coupled Stokes-Biot-transport model. Preprint 2026-08, Grupo de Investigación en Análisis Numérico y Cálculo Científico (GIANuC²), Universidad Católica de la Santísima Concepción, (2026).
[4]
G.A. Benavides, S. Caucao, G.N. Gatica, and Y.D. Sobral: New Banach spaces-based mixed finite element methods for steady-state flows of magnetic fluids. Preprint 2026-18, Centro de Investigación en Ingeniería Matemática (CI²MA), Universidad de Concepción, (2026).
[3]
S. Caucao, G.N. Gatica, A. Suarez, and I. Yotov: A skew-symmetry-based mixed formulation for an Oseen-type Kelvin-Voigt-Brinkman-Forchheimer model. Preprint 2026-01, Grupo de Investigación en Análisis Numérico y Cálculo Científico (GIANuC²), Universidad Católica de la Santísima Concepción, (2026).
[2]
S. Caucao, A. Dalal, and I. Yotov: A Banach space mixed formulation for the fully dynamic Navier-Stokes-Biot coupled problem. arXiv:2410.06322 [math.NA], (2025).
[1]
A.J. Bustos and S. Caucao: A Banach space mixed formulation for the unsteady Brinkman problem with spatially varying porosity. Preprint 2025-06, Grupo de Investigación en Análisis Numérico y Cálculo Científico (GIANuC²), Universidad Católica de la Santísima Concepción, (2025).

Papers in Scientific Journals

[42]
J. Camaño, S. Caucao, and C. Inzunza: A five-field mixed formulation for the fully dynamic Biot-Brinkman model. ESAIM: Mathematical Modelling and Numerical Analysis, to appear.
[41]
A.J. Bustos and S. Caucao: A posteriori error analysis of two mixed formulations for a coupled Brinkman-Forchheimer and convection-diffusion-reaction system. Journal of Computational and Applied Mathematics, vol. 494, Art. Num. 118277, (2027).
[40]
S. Caucao and P. Zúñiga: A posteriori error analysis of a mixed FEM for the coupled Brinkman-Forchheimer/Darcy problem. East Asian Journal on Applied Mathematics, vol. 17, 3, pp. 443-476, (2027).
[39]
S. Caucao, G.N. Gatica, L.F. Gatica, and C. Inzunza: A priori and a posteriori error analysis of a mixed FEM for stationary convective Brinkman-Forchheimer flows with variable porosity. Journal of Computational and Applied Mathematics, vol. 492, Art. Num. 118115, (2027).
[38]
S. Caucao and I. Yotov: Velocity-vorticity-pressure mixed formulation for the Kelvin-Voigt-Brinkman-Forchheimer equations. IMA Journal of Numerical Analysis, vol. 46, 5, pp. 2403-2440, (2026).
[37]
S. Carrasco, S. Caucao, and G.N. Gatica: A twofold perturbed saddle point-based fully mixed finite element method for the coupled Brinkman-Forchheimer/Darcy problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 60, 2, pp. 785-826, (2026).
[36]
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. Computer and Mathematics with Applications, vol. 207, pp. 222-249, (2026).
[35]
S. Caucao, R. Oyarzúa, and S. Villa-Fuentes: A priori and a posteriori error analyses of a fully-mixed finite element method for the coupled Navier-Stokes/Darcy problem. Computer Methods in Applied Mechanics and Engineering, vol. 450, Art. Num. 118598, (2026).
[34]
L. Angelo, J. Camaño, and S. Caucao: A skew-symmetric-based mixed FEM for stationary MHD flows in highly porous media. Journal of Computational and Applied Mathematics, vol. 477, Art. Num. 117176, (2026).
[33]
S. Caucao, G.N. Gatica, S.R. Medrado, and Y.D. Sobral: A posteriori error analysis of mixed finite element methods for a regularized mu(I)-rheology model of granular materials. Journal of Computational Physics, vol. 542, Paper No. 114378, (2025).
[32]
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. Journal of Scientific Computing, vol. 104, 2, article: 64, (2025).
[31]
S. Caucao, G.N. Gatica, and L.F. Gatica: A posteriori error analysis of a mixed finite element method for the stationary convective Brinkman-Forchheimer problem. Applied Numerical Mathematics, vol. 211, pp. 158-178, (2025).
[30]
S. Caucao, G.N. Gatica, S.R. Medrado, and Y.D. Sobral: Nonlinear twofold saddle point-based mixed finite element methods for a regularized mu(I)-rheology model of granular materials. Journal of Computational Physics, vol. 520, Paper No. 113462, (2025).
[29]
S. Caucao, G.N. Gatica, and J.P. Ortega: A three-field mixed finite element method for the convective Brinkman-Forchheimer problem with varying porosity. Journal of Computational and Applied Mathematics, vol. 451, Art. Num. 116090, (2024).
[28]
S. Caucao, T. Li, and I. Yotov: An augmented fully-mixed formulation for the quasistatic Navier-Stokes-Biot model. IMA Journal of Numerical Analysis, vol. 44, 2, pp. 1153-1210, (2024).
[27]
S. Caucao and J. Esparza: An augmented mixed FEM for the convective Brinkman-Forchheimer problem: a priori and a posteriori error analysis. Journal of Computational and Applied Mathematics, vol 438, Art. Num. 115517, (2024).
[26]
S. Carrasco, S. Caucao, and G.N. Gatica: New mixed finite element methods for the coupled convective Brinkman-Forchheimer and double-diffusion equations. Journal of Scientific Computing, vol. 97, 3, article: 61, (2023).
[25]
S. Caucao, G.N. Gatica, and L.F. Gatica: A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem. Calcolo, vol. 60, 4, article: 51, (2023).
[24]
S. Caucao, E. Colmenares, G.N. Gatica, and C. Inzunza: A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem. Computer and Mathematics with Applications, vol. 145, pp. 65-89, (2023).
[23]
L. Angelo, J. Camaño, and S. Caucao: A five-field mixed formulation for stationary magnetohydrodynamic flows in porous media. Computer Methods in Applied Mechanics and Engineering, vol. 414, Art. Num. 116158, (2023).
[22]
S. Caucao and M. Discacciati: A mixed FEM for the coupled Brinkman-Forchheimer/Darcy problem. Applied Numerical Mathematics, vol. 190, pp. 138-154, (2023).
[21]
S. Caucao, G.N. Gatica, and J.P. Ortega: A posteriori error analysis of a Banach spaces-based fully mixed FEM for double-diffusive convection in a fluid-saturated porous medium. Computational Geosciences, vol. 27, 2, pp. 289-316, (2023).
[20]
V. Anaya, R. Caraballo, S. Caucao, L.F. Gatica, R. Ruiz-Baier, and I. Yotov: A vorticity-based mixed formulation for the unsteady Brinkman-Forchheimer equations. Computer Methods in Applied Mechanics and Engineering, vol. 404, Art. Num. 115829, (2023).
[19]
S. Caucao, R. Oyarzúa, and S. Villa-Fuentes: A posteriori error analysis of a momentum and thermal energy conservative mixed FEM for the Boussinesq equations. Calcolo, vol. 59, 4, article: 45, (2022).
[18]
S. Caucao, G.N. Gatica, R. Oyarzúa, and P. Zúñiga: A posteriori error analysis of a mixed finite element method for the coupled Brinkman-Forchheimer and double-diffusion equations. Journal of Scientific Computing, vol. 93, 2, article: 50, (2022).
[17]
S. Caucao, T. Li, and I. Yotov: A multipoint stress-flux mixed finite element method for the Stokes-Biot model. Numerische Mathematik, vol. 152, pp. 411-473, (2022).
[16]
S. Caucao, R. Oyarzúa, S. Villa-Fuentes, and I. Yotov: A three-field Banach spaces-based mixed formulation for the unsteady Brinkman-Forchheimer equations. Computer Methods in Applied Mechanics and Engineering, vol. 394, Art. Num. 114895, (2022).
[15]
J. Camaño, S. Caucao, R. Oyarzúa, and S. Villa-Fuentes: A posteriori error analysis of a momentum conservative Banach spaces based mixed-FEM for the Navier-Stokes problem. Applied Numerical Mathematics, vol. 176, pp. 134-158, (2022).
[14]
G.A. Benavides, S. Caucao, G.N. Gatica, and A.A. Hopper: A new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem. Calcolo, vol. 59, 1, article: 6, (2022).
[13]
S. Caucao, G.N. Gatica, and J.P. Ortega: A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman-Forchheimer and double-diffusion equations. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 55, 6, pp. 2725-2758, (2021).
[12]
S. Caucao and I. Yotov: A Banach space mixed formulation for the unsteady Brinkman-Forchheimer equations. IMA Journal of Numerical Analysis, vol. 41, 4, pp. 2708-2743, (2021).
[11]
S. Caucao, G.N. Gatica, R. Oyarzúa, and F. Sandoval: Residual-based a posteriori error analysis for the coupling of the Navier-Stokes and Darcy-Forchheimer equations. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 55, 2, pp. 659-687, (2021).
[10]
S. Caucao, G.N. Gatica, and F. Sandoval: A fully-mixed finite element method for the coupling of the Navier-Stokes and Darcy-Forchheimer equations. Numerical Methods for Partial Differential Equations, vol. 37, 3, pp. 2550-2587, (2021).
[9]
S. Caucao, G.N. Gatica, R. Oyarzúa, and N. Sánchez: A fully-mixed formulation for the steady double-diffusive convection system based upon Brinkman-Forchheimer equations. Journal of Scientific Computing, vol. 85, 2, article: 44, (2020).
[8]
S. Caucao, R. Oyarzúa, and S. Villa-Fuentes: A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy. Calcolo, vol. 57, 4, article: 36, (2020).
[7]
G.A. Benavides, S. Caucao, G.N. Gatica, and A.A. Hopper: A Banach spaces-based analysis of a new mixed-primal finite element method for a coupled flow-transport problem. Computer Methods in Applied Mechanics and Engineering, vol. 371, Art. Num. 113285, (2020).
[6]
S. Caucao, M. Discacciati, G.N. Gatica, and R. Oyarzúa: A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 54, 5, pp. 1689-1723, (2020).
[5]
S. Caucao, G.N. Gatica, and R. Oyarzúa: A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd-Stokes problem. Numerical Methods for Partial Differential Equations, vol. 35, 1, pp. 295-324, (2019).
[4]
S. Caucao, G.N. Gatica, and R. Oyarzúa: Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 52, 5, pp. 1947-1980, (2018).
[3]
S. Caucao, G.N. Gatica, R. Oyarzúa, and I. Šebestová: A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Journal of Numerical Mathematics, vol. 25, 2, pp. 55-88, (2017).
[2]
S. Caucao, G.N. Gatica, and R. Oyarzúa: A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Computer Methods in Applied Mechanics and Engineering, vol. 315, pp. 943-971, (2017).
[1]
S. Caucao, D. Mora, and R. Oyarzúa: A priori and a posteriori error analysis of a pseudostress-based mixed formulation of the Stokes problem with varying density. IMA Journal of Numerical Analysis, vol. 36, 2, pp. 947-983, (2016).

Articles in Proceedings or Book Chapters

[3]
S. Caucao, G.N. Gatica, S.R. Medrado, and Y.D. Sobral: A mixed finite element method for a mu(I)-rheology model of granular materials. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, vol. 11, no. 1, (2025).
[2]
S. Caucao, A. Dalal, T. Li, and I. Yotov: Mixed finite element methods for the Navier-Stokes-Biot model. In: Lirkov, I., Margenov, S. (eds) Large-Scale Scientific Computations. LSSC 2023. Lecture Notes in Computer Science, vol 13952. Springer, Cham., pp. 19-31, (2024).
[1]
S. Caucao, T. Li, and I. Yotov: A cell-centered finite volume method for the Navier–Stokes/Biot model. In: Klöfkorn R., Keilegavlen E., Radu F., Fuhrmann J. (eds) Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020. Springer Proceedings in Mathematics & Statistics, vol. 323, Springer, Cham, pp. 325-333, (2020).