• Cargo: Profesor Asistente
  • Título académico: Profesor de Educación Media con mención en Matemática y Computación, Universidad de los Lagos, 2010
  • Grado académico: Doctor en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, 2017
  • Dependencia de trabajo: Oficina 29, DMFA
  • Correo electrónico: scaucao@ucsc.cl
  • Teléfono: +56 - 41 - 2347123

Enlaces de Interés

Cursos que Imparte

Pregrado

  • Cálculo III
  • Cálculo Numérico

Postgrado

  • Teoría de Operadores Lineales
  • Aspectos Computacionales del Método de Elementos Finitos
  • Tópicos de Análisis de Error A-Posteriori

Área de Investigación

  • Análisis Numérico de Ecuaciones Diferenciales Parciales
  • Método de Elementos Finitos Mixtos
  • Análisis de Error A-Posteriori

Proyectos

  • (Investigador Responsable). Proyecto FONDECYT Nº 11220393. Concurso de Proyectos Fondecyt de Iniciación en Investigación 2022: Finite Element Methods for Brinkman-Forchheimer and Related Problems. (Marzo 2022 – Marzo 2025).
  • (Investigador Asociado). Proyecto Basal FB210005 CMM-UChile. Concurso Programa de Financiamiento Basal para Centros Científicos y Tecnológicos de Excelencia 2021, ANID-Chile. (Noviembre 2021 – Noviembre 2031).
  • (Investigador Responsable). Programa PAI de Conicyt, Proyecto Nº 77190084. Convocatoria Nacional Subvención a la Instalación en la Academia 2019: “Métodos de Elementos Finitos para Modelos de Interacción Fluido-Estructura Poroelástica y Problemas Afines”. (Enero 2020 – Diciembre 2022).

Publicaciones

  • 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).
  • 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).
  • 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).
  • 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).
  • 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).
  • S. Caucao and M. Discacciati: A mixed FEM for the coupled Brinkman-Forchheimer/Darcy problem. Applied Numerical Mathematics, vol. 190, pp. 138-154, (2023).
  • 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).
  • Verónica Anaya, Ruben Caraballo, Sergio Caucao, Luis F. Gatica, Ricardo Ruiz-Baier, Ivan 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).
  • Sergio Caucao, Ricardo Oyarzúa, Segundo 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).
  • Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa, Paulo 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, article:50, (2022).
  • Sergio Caucao, Tongtong Li, Ivan Yotov. “A multipoint stress-flux mixed finite element method for the Stokes-Biot model”. Numerische Mathematik, vol. 152, pp. 411-473, (2022).
  • Sergio Caucao, Ricardo Oyarzúa, Segundo Villa-Fuentes, Ivan 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).
  • Sergio Caucao, Gonzalo A. Benavides, Gabriel N. Gatica, Alejandro 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).
  • Jessika Camaño, Sergio Caucao, Ricardo Oyarzúa, Segundo 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).
  • Gonzalo A. Benavides, Sergio Caucao, Gabriel N. Gatica, Alejandro 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).
  • Sergio Caucao, Gabriel N. Gatica, Juan 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).
  • Sergio Caucao, Ivan Yotov, “A Banach space mixed formulation for the unsteady Brinkman-Forchheimer equations”. IMA Journal of Numerical Analysis, vol. 41, 4, pp. 2708-2743, (2021).
  • Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa, Felipe 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).
  • Sergio Caucao, Gabriel N. Gatica, Felipe 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).
  • Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa, Nestor 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).
  • Sergio Caucao, Ricardo Oyarzúa, Segundo Villa-Fuentes. “A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy”. Calcolo, vol. 57, article:36, (2020).
  • Gonzalo A. Benavides, Sergio Caucao, Gabriel N. Gatica, Alejandro 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).
  • S. Caucao, M. Discacciati, G.N. Gatica, 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).
  • S. Caucao, G.N. Gatica, 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).
  • S. Caucao, G.N. Gatica, 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).
  • S. Caucao, G.N. Gatica, R. Oyarzúa, 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).
  • S. Caucao, G.N. Gatica, 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).
  • S. Caucao, D. Mora, 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).