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Tomas Barrios

  • Doctor en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción, 2006
  • Profesor Asociado
  • Oficina: Nº 57 DMFA
  • Teléfono: +56 - 41 - 2345684

 

 

 

Área de Investigación

 

  • Análisis Numérico

 

Publicaciones

 

  • Tomás P. Barrios, Rommel Bustinza, Felipe Sánchez. "Analysis of DG aproximations for the Stokes problem based on velocity-pseudostress formulation". Numerical Methods for Partial Differential Equations", vol. 33, 5, pp. 1540-1564, (2017).
  • Tomás P. Barrios, José M. Cascón, María González. "Augmented mixed finite element method for the Oseen problem: A priori and a posteriori error analysis". Computer Methods in Applied Mechanics and Engineering, vol. 313, pp. 216-238, (2017).
  • Tomás P. Barrios, Rommel Bustinza, Víctor Dominguez. "Adaptive numerical solution of a discontinuous Galerkin method for a Helmholtz problem in low-frecuency regime". Journal of Computational and Applied Mathematics,  vol. 300, pp. 312–340, (2016).
  • Tomás P. Barrios, Edwin Behrens, Rommel Bustinza. "A note on a priori error estimates for augmented mixed methods". Applied Mathematics Letters, vol. 57, pp. 139-144, (2016).
  • Tomás Barrios, José Manuel Cascón, María González.  "A posteriori error estimation of a stabilized mixed finite element method for Darcy flow". In Book: Boundary and Interior Layers - Computational & Asymptotic Methods,   BAIL 2014 (Edited by Petr Knobloch). Springer series Lecture Notes in Computational Science and Engineering, Vol 108, pp 13 - 23.
  • Gabriel Barrenechea, Tomás Barrios, Andreas Wachtel. "Stabilized finite element methods for a bending moment formulation of the Reissner-Mindlin plate model". Calcolo, vol. 52, pp. 343-369, (2015).
  • Tomás Barrios, José Manuel Cascón, María Gonzaléz. "A posteriori error analysis of a stabilized mixed finite element method for Darcy flow". Computer Methods in Applied Mechanics and Engineering, vol. 283, pp. 909-922, (2015).
  • Tomás Barrios, Edwin Behrens, María González. " New a posteriori error estimator for an augmented mixed FEM in linear elasticity".  Numerical Mathematics and Advanced Applications - ENUMATH 2013, ( Edited by A. Addulle, S. Deparis, D. Kressner, F. Nobile, M. Picasso), Lecture Notes in Computational Science and Engineering, Vol 103, pp. 263-271,  Springer  International Publishing Switzerland, 2015.
  • Tomás Barrios, Rommel Bustinza, Galina C. García, María González. " An a posteriori error estimator  for  a new stabilized formulation of the Brinkman problem". Numerical Mathematics and Advanced Applications - ENUMATH 2013, ( Edited by A. Addulle, S. Deparis, D. Kressner, F. Nobile, M. Picasso), Lecture Notes in Computational Science and Engineering, Vol 103, pp. 253-261,  Springer International Publishing Switzerland, 2015.
  • Tomás P. Barrios, Edwin Behrens, María González. "Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity". Applied Numerical Mathematics, vol. 84, pp. 46-65, (2014).
  • Tomás Barrios, José Manuel Cascón, María González. " Adaptive solutions of a stabilized mixed finite element method for porous media equations". Mecánica Computacional, Vol XXXIII, Nº 30, G. Bertolino, M. Cantero, M. Storti and F. Teruel (Editors),   pp. 1909 - 1917,  AMCA, Argentina. ISSN 1666-6070.
  • T. Barrios, R. Bustinza. “An a-posteriori error analysis of an augmented discontinuous Galerkin formulation for Darcy flow”. Numerische Mathematik, vol. 120, 2, pp. 231-269. (2012).
  • T. Barrios, R. Bustinza, G. García, H. Hernández. “On stabilized mixed methods for generalized Stokes problem based on the velocity-pseudostress formulation: A priori error estimates”. Computer Methods in Applied Mechanics and Engineering, vol. 237-240, pp. 78-87, (2012).
  • T. Barrios, E. M. Behrens, M. González. “A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions”. Computer Methods in Applied Mechanics and Engineering, vol. 200, 3-4, pp. 101-113, (2011).
  • Barrios T., Bustinza R. A-priori and a-posteriori error analysis of an augmented Galerkin discontinuous formulation”.  IMA Journal of Numerical Analysis,  vol. 30, 4, pp. 987-1008, (2010).
  • Tomás Barrios, Rommel Bustinza. "An augmented DG scheme for porous media equations". In book: Numerical Mathematics and Advanced Applications, Proceeding ENUMATH 2007, K. Kunish, G. Of and O. Steinbach (eds.), pp. 315-322. Springer Verlag. (2008).
  • Barrios, T., Bustinza, R. An augmented discontinuous Galerkin method for elliptic problems”. Comptes Rendus de l'Académie des Sciences Serie I: Mathématique, 344, 53-58, (2007).
  • Barrios, T., Gatica, G.N. An augmented mixed finite element method with Lagrange multipliers: a-priori and a-posteriori error analyses”. Journal of Computational and Applied Mathematics, 200, 653-676, (2007).
  • Barrios, T., Gatica, G.N.,  Paiva, F.A-priori and a-posteriori error analysis of a wavelet-based stabilization of the mixed finite element method”. Numerical Functional Analysis and Optimization, 28, 265-286, (2007).
  • Tomás Barrios, Rommel Bustinza. "An augmented LDG method for linear diffusion problems". PAMM- Proceedings in Applied Mathematics and Mechanics. 7, pp. 220057-220058. (2007).
  • Barrios T., Gatica G.N., Paiva F. "A wavelet-based stabilization of the mixed finite element method with Lagrange multipliers". Applied Mathematics Letters, vol. 19, 3, pp. 244-250, (2006).
  •  Barrios T., Gatica G.N., González M., Heuer N. "A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity". ESAIM: Mathematical Modelling and Numerical Analysis, vol. 40, 5, pp. 843-869, (2006).
  • Barrios T. "Adaptive solutions of an augmented mixed finite mixed finite element scheme for linear elasticity". SCIENTA, Series A: Mathematical Sciences, vol. 13, pp. 46-56, (2006).
  • Barrios T., Gatica G.N., Gatica L.F. " 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).
Destacamos

 

 

 

 Magíster en

Matemática Aplicada

 

 Consultas 

Prof. Luis F. Gatica

lgatica@ucsc.cl

+56 41 2345694

 

 

 

 

Universidad Acreditada desde Noviembre
de 2016 a Noviembre de 2020

 

Avenida Alonso de Ribera 2850
Concepción - Chile
Teléfono: +56 - 41 - 2345690

 


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