Tomás BARRIOS, José Manuel CASCóN, María GONZáLEZ: On a stabilized mixed finite element method for the generalized Oseen problem based on the velocity-pseudostress formulation. (March 25, 2024).
Tomás BARRIOS, José Manuel CASCóN, Andreas WACHTEL: The Crouzeix-Raviart element for non-conforming dual mixed methods: A Priori Analysis. ArXiv:2109.07688 (September 16, 2021).
2026
Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: An a-posteriori error estimator of the Lamé equations considering nonhomogeneous Dirichlet boundary condition. Journal of Mathematical Analysis and Applications, Vol 553, (22 pages). Article Number 129900. https://doi.org/10.1016/j.jmaa.2025.129900
2025
Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA, José M. CASCóN: An a posteriori error estimator for an augmented variational formulation of the Brinkman problem with mixed boundary conditions and non-null source terms. Journal of Computational Physics. vol 537. (19 pages). Article number 114056. https://doi.org/10.1016/j.jcp.2025.114056
2024
Tomás BARRIOS, Rommel BUSTINZA: An a posteriori error analysis for an augmented discontinuous Galerkin method applied to Stokes problem. Numerical Methods for Partial Differential Equations, Vol. 40, Issue 5, e23100. http://doi.org/10.1002/num.23100
2023
Tomás BARRIOS, Rommel BUSTINZA, Camila CAMPOS: A note on a posteriori error estimates for dual mixed methods with mixed boundary condition. Numerical Methods for Partial Differential Equations, vol. 39, 5, pp. 3897-3918. https://doi.org/10.1002/num.23029
2022
Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: Numerical Analysis of a stabilized scheme applied to incompressible elasticity problems with Dirichlet and with mixed boundary conditions. Advances in Computational Mathematics, vol. 48, issue 4, Article Number 43. https://doi.org/10.1007/s10444-022-09956-0
Tomás BARRIOS, Rommel BUSTINZA, Camila CAMPOS, An a posteriori error estimator for a non homogeneous Dirichlet problem considering a dual mixed formulation. Trends in Computational and Applied Mathematics, vol.23, Issue 3, pp. 549-568. https://doi.org/10.5540/tcam.2022.023.03.00549
2021
Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: An a posteriori error estimate for a dual mixed method applied to Stokes system with non null source terms. Advances in Computational Mathematics, vol. 47, issue 5, Article Number 77. https://doi.org/10.1007/s10444-021-09906-2.
2020
Tomás BARRIOS, Rommel BUSTINZA: An a priori error analysis for discontinuous Lagrangian finite elements applied to nonconforming dual mixed formulations: Poisson and Stokes problems. Electronic Transactions on Numerical Analysis, vol. 52, pp. 455-479.
Tomás BARRIOS, José Manuel CASCóN, María GONZáLEZ: On an adaptive stabilized mixed finite element method for the Oseen problem with mixed boundary conditions. Computer Methods in Applied Mechanics and Engineering, vol. 365, 15 June 2020, Article Number 113007.
Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: A stabilised mixed method applied to Stokes system with non homogeneous source terms: The stationary case. International Journal for Numerical Methods in Fluids, vol. 92, Issue 6, pp. 509-527.
2019
Tomás BARRIOS, Edwin BEHRENS, María GONZáLEZ: A posteriori error analysis of an augmented dual-mixed method in linear elasticity with mixed boundary conditions. International Journal of Numerical Analysis and Modeling, Vol 16 (5), pp. 804-824.
Tomás BARRIOS, Rommel BUSTINZA, Galina C. GARCíA, María GONZáLEZ: A posteriori error analysis of a velocity-pseudostress formulation of the generalized Stokes problem. Journal of Computational and Applied Mathematics, Vol. 357, pp. 349-365.
Tomás BARRIOS, Edwin BEHRENS, María GONZáLEZ: New a-posteriori error estimator for an stabilised mixed method applied to incompressible fluid flows. Applied Mathematics and Computation, Vol. 351, pp. 37-47.
2017
Tomás BARRIOS, Rommel BUSTINZA, Felipe SáNCHEZ: Analysis of DG approximations for Stokes problem based on velocity-pseudostress formulation. Numerical Methods for Partial Differential Equations, vol. 33, 5, pp. 1540-1564.
Tomás BARRIOS, José Manuel 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.
2016
Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: A note on a-priori error estimates for augmented mixed methods. Applied Mathematics Letters, vol. 57, pp. 139 - 144.
Tomás BARRIOS, Rommel BUSTINZA, Víctor DOMíNGUEZ: Adaptive numerical solution of a discontinuous Galerkin method for a Helmholtz problem in low-frequency regime. Journal of Computational and Applied Mathematics, vol. 300, pp. 312-340.
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.
2015
Gabriel BARRENECHEA, Tomás BARRIOS, Andreas WACHTEL: Stabilised finite element methods for a bending moment formulation of the Reissner-Mindlin plate model. Calcolo, vol. 52, pp. 343 - 369.
Tomás BARRIOS, Edwin BEHRENS, María GONZáLEZ: New a posteriori error estimator for an augmented mixed FEM in linear elasticity. In Book: 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.
Tomás BARRIOS, Rommel BUSTINZA, Galina C. GARCíA, María GONZáLEZ: An a posteriori error estimator for a new stabilized formulation of the Brinkman problem. In Book: 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.
Tomás BARRIOS, José Manuel CASCóN, María GONZáLEZ: 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.
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, G. Bertolino, M. Cantero, M. Storti and F. Teruel (Editors), pp. 1909 - 1917, AMCA, Argentina. ISSN 1666-6070.
Tomás 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.
2012
Tomás BARRIOS, Rommel BUSTINZA, Galina C. GARCíA, Erwin HERNáNDEZ: On the 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.
Tomás BARRIOS, Rommel BUSTINZA: An a posteriori error analysis for an augmented discontinuous Galerkin formulation for Darcy flow. Numerische Mathematik, vol. 120, 2, pp. 231-269.
2011
Tomás BARRIOS, Edwin BEHRENS, María 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, pp. 101-113.
2010
Tomás BARRIOS, Rommel BUSTINZA: A priori and a posteriori error analyses of an augmented discontinuous Galerkin formulation. IMA Journal of Numerical Analysis, vol. 30, 4, pp. 987-1008.
2008
Tomás BARRIOS, Rommel BUSTINZA: An augmented DG scheme for porous media equations. In Book: Numerical Mathematics and Advanced Applications, Proceedings ENUMATH 2007, K. Kunish, G. Of and O. Steinbach (eds.), pp. 315-322. Springer Verlag.
2007
Tomás BARRIOS, Gabriel N. GATICA, Freddy PAIVA: A-priori and a-posteriori error analysis of a wavelet-based stabilization for the mixed finite element method. Numerical Functional Analysis and Optimization, vol. 28, 3-4, pp. 265-286.
Tomás BARRIOS, Rommel BUSTINZA: An augmented discontinuous Galerkin method for elliptic problems. Comptes Rendus de l'Académie des Sciences, Paris, Serie I, vol. 34, pp. 53-58.
Tomás BARRIOS, Gabriel N. GATICA: An augmented mixed finite element method with Lagrange multipliers: a-priori and a-posteriori error analyses. Journal of Computational and Applied Mathematics, vol. 200, 2, pp. 653-676.
2006
Tomás BARRIOS, Gabriel N. GATICA, María GONZáLEZ, Norbert HEUER: A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity. Mathematical Modelling and Numerical Analysis, vol. 40, 5, pp. 843-869, (2006).
Tomás BARRIOS, Gabriel N. GATICA, Freddy PAIVA: A wavelet-based stabilization of the mixed finite element method with Lagrange multipliers. Applied Mathematics Letters, vol. 19, 3, pp. 244-250.
2004
Tomás BARRIOS, Gabriel 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.
2002
Rodolfo ARAYA, Tomás BARRIOS, Gabriel N. GATICA, Norbert HEUER: A-posteriori error estimates for a mixed-FEM formulation of a non-linear elliptic problem. Computer Methods in Applied Mechanics and Engineering, vol. 191, 21-22, pp. 2317-2336.
2021
Tomás BARRIOS and Rommel BUSTINZA, A priori error analysis for unusual Local Discontinuous Galerkin. Proceedings of the VIII MACI, May 2021, La Plata, Argentina; M.L. Schuverdt, N.L. Kudraszow, R.P. Vignau, M.D. Sánchez (Editors), vol. 8, pp. 75-78, (ISSN 2314-3282).
Tomás BARRIOS, Rommel BUSTINZA, Camila CAMPOS, An a-posteriori error analysis for a dual mixed formulation of the non-homogeneous Dirichlet problem. Proceedings of the VIII MACI, May 2021, La Plata, Argentina; M.L. Schuverdt, N.L. Kudraszow, R.P. Vignau, M.D. Sánchez (Editors), vol. 8, pp. 79-82, (ISSN 2314-3282).
2019
Tomás BARRIOS, José Manuel CASCóN, María GONZáLEZ: Adaptive augmented mixed FEM for the Oseen problem with mixed boundary conditions. Monografías Matemáticas García de Galdeano, vol 42, pp. 25-34, University of Zaragoza Press, Spain.
2009
Tomás BARRIOS, Edwin BEHRENS. Una nota sobre las estimas a priori del error para formulaciones mixtas aumentadas. Actas de XXI CEDYA (XI Congreso de Matemática Aplicada). Ciudad Real, Septiembre 21-25, (pp. 1-8), ISBN 978-84-692-6473-7.
Tomás BARRIOS, José Manuel CASCóN and Galina C. GARCíA. Aposteriori error analysis for a large scale ocean circulation finite element model. Actas de XXI CEDYA (XI Congreso de Matemática Aplicada). Ciudad Real, Septiembre 21-25, (pp. 1-8), ISBN 978-84-692-6473-7.
Tomás BARRIOS, Edwin BEHRENS and María GONZáLEZ. A residual based a posteriori error estimator for an augmented mixed method in elasticity, Proceeding of CMMSE (J. Vigo Aguiar, P. Alonso, S. Oharu, E. Venturino and B. Wade, eds.), Vol. I, 139-148, Gijon (Asturias), Spain, ISBN:978-84-612-9727-6.
2007
Tomás BARRIOS, Soluciones adaptativas para algunas formulaciones mixtas aumentadas. Actas electrónicas del XXV Coloquio de la Sociedad Matemática Peruana, pp. 5-21.
Tomás BARRIOS, Rommel BUSTINZA: An augmented LDG method for linear diffusion problems. PAMM - Proceedings in Applied Mathematics and Mechanics. 7, pp. 220057-220058.
2006
Tomás BARRIOS: Adaptive solutions of an augmented mixed finite element scheme for linear elasticity. SCIENTIA Serie A: Mathematical Sciences, vol. 13, pp. 46-56.