Luis F. Gatica

  • Cargo: Profesor Asociado
  • Grado académico: Doctor en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción, 2005
  • Dependencia de trabajo: Oficina Nº 1, DMFA
  • Correo electrónico: lgatica@ucsc.cl
  • Teléfono: +56 - 41 - 2345694

Enlaces de Interés

Área de Investigación

  • Análisis Numérico

Publicaciones

  • Sergio Caucao, Gabriel N. Gatica, and Luis F. Gatica: A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem. Calcolo, vol. 60, 4, article: 51, (2023).
  • Verónica Anaya, Ruben Caraballo, Sergio Caucao, Luis F. Gatica, Ricardo Ruiz-Baier, and 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).
  • Patrick E. Farrel, Luis F. Gatica, Bishnu Lamichhane, Ricardo Oyarzúa, Ricardo Ruiz-Baier. “Mixed Kirchhoff stress-displacement-pressure formulations for incompressible hyperelasticity“. Computer Methods in Applied Mechanics and Engineering, vol 374 (2021) 113584.
  • Luis F. Gatica, Ricardo Oyarzúa, Nestor Sánchez. “A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem“. Computers and Mathematics with Applications, vol. 75, 7, pp. 2420-2444, (2018).
  • Luis F. Gatica, Filánder A. Sequeira. “A priori and a posteriori error analyses of an HDG method for the Brinkman problem“. Computers and Mathematics with Applications, vol. 75, 4, pp. 1191-1212, (2018).
  • Gabriel N. Gatica, Luis F. Gatica, Filánder A. Sequeira. “A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity“. Computers and Mathematics with Applications, vol. 71, 2, pp. 585-614, (2016).
  • Gabriel N. Gatica, Luis F. Gatica, Filánder A. Sequeira. “A RTk-Pk approximation for linear elasticity yielding a broken H(div) convergent postprocessed stress”.  Applied Mathematics Letters, vol 49, pp. 133-140, (2015).
  • Zhixing Fu, Luis F. Gatica,  Francisco-Javier Sayas. “Algorithm 949: MATLAB Tools for HDG in Three Dimensions”.  ACM Transactions on Mathematical Software, vol 41, 3, Article 20, (2015).
  • Gabriel N. Gatica, Luis F. Gatica, Filánder A. Sequeira. “Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow”. Computer Methods in Applied Mechanics and Engineering, vol. 289, pp. 104-130, (2015).
  • L.F. Gatica, G.N. Gatica, A. Márquez. “Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow”. Numerische Mathematik, vol. 126, 4, pp. 635-677, (2014).
  • Luis F. Gatica, Gabriel N. Gatica, Antonio Marquez. “Augmented mixed finite element methods for a vorticity-based velocity-pressure-stress formulation of the Stokes problem in 2D”. International Journal for Numerical Methods in Fluids, vol. 67, 4, pp. 450-477, (2011).
  • G.N. Gatica, L.F. Gatica, E.P. Stephan. “A dual-mixed finite element method for nonlinear incompressible elasticity with mixed boundary conditions”. Computer Methods in Applied Mechanics and Engineering, vol. 196, pp. 3348-3369, (2007).
  • Luis F. Gatica, Gabriel N. Gatica, “On the a-priori and a-posteriori error analysis of a two-fold saddle point approach for nonlinear incompressible elasticity”. International Journal for Numerical Methods in Engineering, vol. 68, (8), 861-892, (2006).
  • Tomás P. Barrios, G.N. Gatica, Luis F. Gatica. “On the numerical analysis of a nonlinear elliptic problem via mixed-FEM and Lagrange multipliers”. Applied Numerical Mathematics, vol. 48, 2, pp. 135-155, (2004).
  • L.F. Gatica, G.N. Gatica, E.P. Stephan. ” A FEM-DtN formulation for a nonlinear exterior problem in incompressible elasticity”. Mathematical Methods in Applied Sciences, vol. 26, 2, pp. 151-170, (2003).
  • L.F. Gatica. “Sobre la ecuación de Liénard de grado 4”. CUBO Revista de Matemática, vol. 12, pp. 39-50, (1997).