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Tomas Patricio Barrios Faundez

Associate Professor

UNIVERSIDAD CATOLICA DE LA SANTISIMA CONCEPCION

Concepcion, Chile

Mathematical and numerical analysis of linear and nonlinear boundary value problems; Numerical Analysis; Computational Mechanics

Numerical Analysis, UNIVERSIDAD DE CONCEPCION. Chile, 2006

PROFESOR ASOCIADO Full Time

UNIVERSIDAD CATOLICA DE LA SANTISIMA CONCEPCION

FACULTAD DE INGENIERIA

CONCEPCION, Chile

2005 - At present


On an adaptive stabilized mixed finite element method for the Oseen problem with mixed boundary conditions BARRIOS, T. P.; CascÃ³n J.M. Article SCOPUS Computer Methods in Applied Mechanics and Engineering (2020)
A POSTERIORI ERROR ANALYSIS OF AN AUGMENTED DUAL-MIXED METHOD IN LINEAR ELASTICITY WITH MIXED BOUNDARY CONDITIONS BARRIOS, T. P.; Behrens E.M. Article ISI SCOPUS INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING (2019)
A stabilized mixed method applied to Stokes system with nonhomogeneous source terms: The stationary case Dedicated to Prof. R. Rodríguez, on the occasion of his 65th birthday BARRIOS, T. P.; Behrens E.M. Article SCOPUS International Journal for Numerical Methods in Fluids (2019)
An a posteriori error analysis of a velocity-pseudostress formulation of the generalized Stokes problem BARRIOS, T. P.; GarcÃa G.C. Article ISI SCOPUS JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2019)
New a-posteriori error estimator for an stabilised mixed method applied to incompressible fluid flows. BARRIOS, Tomas; BEHRENS, Edwin; GONZáLEZ, Maria. Article Applied Mathematics and Computation (2019)
Analysis of DG approximations for Stokes problem based on velocity-pseudostress formulation Barrios T.P., Bustinza R. Article NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2017)
Augmented mixed finite element method for the Oseen problem=> A priori and a posteriori error analyses Barrios T.P., Cascón J.M. Article Computer Methods in Applied Mechanics and Engineering (2017)
A note on a-priori error estimates for augmented mixed methods. BARRIOS, Tomas; BEHRENS, Edwin; BUSTINZA, Rommel Article APPLIED MATHEMATICS LETTERS (2016)
Adaptive numerical solution of a discontinuous Galerkin method for a Helmholtz problem in low-frequency regime. BARRIOS, Tomas; BUSTINZA, Rommel; DOMiNGUEZ, Víctor=> Article JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2016)
A posteriori error analysis of an augmented mixed finite element method for Darcy flow BARRIOS, T. P.; Gonzalez, M. Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2015)
An a posteriori error estimator for a new stabilized formulation of the Brinkman problem Barrios T.; Bustinz R.; García G.C.; Gonzalez, M. Article SCOPUS Lecture Notes in Computational Science and Engineering (2015)
New a posteriori error estimator for an augmented mixed FEM in linear elasticity BARRIOS, T. P.; Behrens E.M.; Gonzalez, M. Article SCOPUS Lecture Notes in Computational Science and Engineering (2015)
New a posteriori error estimator for an augmented mixed FEM in linear elasticity Barrios T.P., Behrens E.M.; Gonzalez, M. Article Lecture Notes in Computational Science and Engineering (2015)
An a posteriori error estimator for a new stabilized formulation of the Brinkman problem Barrios T., Bustinza; R, García G.C.; Gonzalez, M. Article Lecture Notes in Computational Science and Engineering (2014)
Low cost A posteriori error estimators for an augmented mixed FEM in linear elasticity. BARRIOS, Tomas; BEHRENS, Edwin; GONZáLEZ, Maria Article Applied Numerical Mathematics (2014)
An a posteriori error analysis of an augmented discontinuous Galerkin formulation for Darcy flow BARRIOS, T. P.; Bustinza, R Article ISI SCOPUS Numerische Mathematik (2012)
On stabilized mixed methods for generalized Stokes problem based on the velocity-pseudostress formulation: A priori error estimates BARRIOS, T. P.; Bustinza, R; García G.C.; Hernandez, E. Article ISI SCOPUS Computer Methods in Applied Mechanics and Engineering (2012)
A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions Barrios, TP; Behrens, EM; Gonzalez, M Article COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2011)
A priori and a posteriori error analyses of an augmented discontinuous Galerkin formulation Barrios, TP; Bustinza R. Article IMA JOURNAL OF NUMERICAL ANALYSIS (2010)
A priori and a posteriori error analysis of a wavelet based stabilization for the mixed finite element method Barrios, TP; Gatica, GN; Paiva, F Article NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION (2007)
An augmented mixed finite element method with Lagrange multipliers: A priori and a posteriori error analyses Barrios, TP; Gatica, GN Article JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2007)
A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity Barrios, TP; Gatica, GN; Gonzalez, M; Heuer, N Article ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2006)
On the numerical analysis of a nonlinear elliptic problem via mixed-FEM and Lagrange multipliers Barrios, TP; Gatica, GN; Gatica, LF Article APPLIED NUMERICAL MATHEMATICS (2004)
A posteriori error estimates for a mixed-FEM formulation of a non-linear elliptic problem Araya, R; Barrios, TP; Gatica, GN; Heuer, N Article COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2002)


A posteriori error estimation of a stabilized mixed finite element method for Darcy flow BARRIOS, T. P.; Gonzalez, M. ConferencePaper SCOPUS Lecture Notes in Computational Science and Engineering (2015)


CIRCUMVENTING THE INF SUP CONDITION VIA STABILISATION TECHNIQUES=> A PRIORI AND A POSTERIORI ERROR ANALYSES FONDECYT (1160578) Proyecto 2016-2020 Inv. Responsable
FURTHER APPLICATIONS OF STABILIZED DG AND HDG METHODS TO LINEAR AND NONLINEAR STEADY PROBLEMS IN CONTINUUM MECHANICS FONDECYT (1130158) Proyecto 2013-2017 Coinvestigador(a)
NEW DEVELOPMENTS OF AUGMENTED DISCONTINUOUS GALERKIN METHODS FOR BOUNDARY VALUE PROBLEMS IN CONTINUUM MECHANICS FONDECYT (1080168) Proyecto 2008-2012 Coinvestigador(a)
A-PRIORI AND A-POSTERIORI ERROR ANALYSES OF STABILIZED MIXED FINITE ELEMENT METHODS IN ELASTICITY AND FLUID MECHANICS FONDECYT (11060014) Proyecto 2006-2009 Inv. Responsable