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Gabriel Gatica

Senior Researcher and Full Professor

Universidad de Concepcion

Concepcion, Chile

Numerical Analysis of Partial Differential Equations; Functional Analysis Please, note that the productivity shown below in Section 7 refers only to those papers published since 2000. Previously, during 1987 - 2000, I published about 40 more papers.

Mathematics, UNIVERSIDAD DE CONCEPCION. Chile, 1980
Mathematical Engineer, UNIVERSIDAD DE CONCEPCION. Chile, 1982
Master in Sciences with major in Mathematics, Universidad de Concepcion. Chile, 1986
Ph.D. in Mathematical Sciences, UNIVERSITY OF DELAWARE. Estados Unidos, 1989

Full Professor Full Time

UNIVERSIDAD DE CONCEPCION

Faculty of Physical and Mathematical Sciences

Concepcion, Chile

1980 - At present
Senior Researcher and Director Full Time

UNIVERSIDAD DE CONCEPCION

Center for Research in Mathematical Engineering

Concepcion, Chile

2009 - At present

22 undergraduate thesis of "Mathematical Engineering" of UdeC, advised so far.

2 graduate thesis of the "Master in Sciences with major in Mathematics" of UdeC, advised so far.

1 graduate thesis of the "Master in Engineering Sciences with major in Structures" of PUC, advised so far.

17 graduate thesis of the "Ph.D. Program in Applied Sciences with major in Mathematical Engineering" of UdeC, advised so far.

68 presentations in national and international conferences as invited speaker.

58 presentations in national and international conferences as contributing author.

Premio Universidad de Concepcion

UNIVERSIDAD DE CONCEPCION

Chile, 1982

Awarded yearly to the best student of each professional career. First student ever of Mathematical Engineering in obtaining this award.
Premio Municipal de Ciencias

Municipalidad de Concepcion

Chile, 1999

Scientific Prize awarded yearly by the city council of Concepcion. First mathematicien ever in obtaining this award.
Premio ATENEA a la mejor obra cientifica

Universidad de Concepcion

Chile, 2016

Prize awarded by the editorial seal of Universidad de Concepcion to the author of the best scientific book published in the previous two years. First and only mathematicien so far in obtaining this award. The book recognized was: A Simple Introduction to the Mixed Finite Element Method, published in Springer in 2014.
Editorial duty

SIAM

Estados Unidos, 2013

Associate editor of the journal: SIAM Journal of Numerical Analysis (SINUM), the most prestigious journal worldwide in Numerical Analysis, since January 2013, until December 2021.
Editorial duty

Taylor & Francis

Estados Unidos, 2006

Associate editor of the Journal: Numerical Functional Analysis and Optimization, since October 2006.


A fully‐mixed finite element method for the coupling of the Navier–Stokes and Darcy–Forchheimer equations Caucao, Sergio; Gatica, Gabriel N.; Sandoval, Felipe Article Numerical Methods for Partial Differential Equations (2021)
A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity Gatica, Gabriel N; Márquez, Antonio; Meddahi, Salim Article CALCOLO (2021)
Analysis of an augmented fully-mixed finite element method for a bioconvective flows model Colmenares, Eligio; Gatica, Gabriel N.; Miranda, Willian Article Journal of Computational and Applied Mathematics (2021)
Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds Gatica, Gabriel N.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo; Sobral, Yuri D. Article COMPUTERS & MATHEMATICS WITH APPLICATIONS (2021)
New Primal and Dual-Mixed Finite Element Methods for Stable Image Registration with Singular Regularization Barnafi, Nicolas; Gatica, Gabriel N.; Hurtado, Daniel E.; Miranda, Willian; Ruiz-Baier, Ricardo Article Mathematical Models and Methods in Applied Sciences (2021)
Residual-based a posteriori error analysis for the coupling of the Navier-Stokes and Darcy-Forchheimer equations Caucao, Sergio; GATICA, Gabriel; Oyarzúa, Ricardo; Sandoval, Felipe Article ESAIM: Mathematical Modelling and Numerical Analysis (2021)
A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem Colmenares, Eligio; Gatica, Gabriel N.; Moraga, Sebastián Article ESAIM: Mathematical Modelling and Numerical Analysis (2020)
A Banach spaces-based analysis of a new mixed-primal finite element method for a coupled flow-transport problem Benavides, Gonzalo A.; Caucao, Sergio; Gatica, Gabriel N.; Hopper, Alejandro A. Article COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2020)
A conforming mixed finite element method for the Navier–Stokes/Darcy–Forchheimer coupled problem Caucao, Sergio; Discacciati, Marco; Gatica, Gabriel N.; Oyarzúa, Ricardo Article ESAIM: Mathematical Modelling and Numerical Analysis (2020)
A five-field augmented fully-mixed finite element method for the Navier–Stokes/Darcy coupled problem Gatica, Gabriel N.; Oyarzúa, Ricardo; Valenzuela, Nathalie Article COMPUTERS & MATHEMATICS WITH APPLICATIONS (2020)
A Fully-Mixed Finite Element Method for the n-Dimensional Boussinesq Problem with Temperature-Dependent Parameters Almonacid J.A.; Gatica G.N. Article SCOPUS Computational Methods in Applied Mathematics (2020)
A fully-mixed finite element method for the steady state Oberbeck–Boussinesq system Colmenares, Eligio; Gatica, Gabriel N.; Moraga, Sebastián; Ruiz-Baier, Ricardo Article The SMAI journal of computational mathematics (2020)
A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman–Forchheimer Equations Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Sánchez, Nestor Article JOURNAL OF SCIENTIFIC COMPUTING (2020)
A Mixed Virtual Element Method for the Boussinesq Problem on Polygonal Meshes Gatica, Gabriel N.; Munar, Mauricio; Sequeira, FA Article J. Comp. Math., doi:10.4208/jcm.2001-m2019-0187 (2020)
A mixed-primal finite element method for the coupling of Brinkman–Darcy flow and nonlinear transport Alvarez, Mario; Gatica, Gabriel N; Ruiz-Baier, Ricardo Article IMA Journal of Numerical Analysis (2020)
An augmented fully-mixed finite element method for a coupled flow-transport problem Gatica G.N.; Inzunza C. Article ISI SCOPUS CALCOLO (2020)
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems Gatica, Gabriel N.; Meddahi, Salim Article JOURNAL OF NUMERICAL MATHEMATICS (2020)
n-dimensional Boussinesq problem with temperature-dependent viscosity]]> A. Almonacid, Javier; N. Gatica, Gabriel; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo Article Networks and Heterogeneous Media (2020)
Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics Almonacid J.A.; Gatica G.N.; Ruiz-Baier R. Article ISI SCOPUS CALCOLO (2020)
A fully mixed finite element method for the coupling of the Stokes and Darcy–Forchheimer problems Almonacid, Javier A; Díaz, Hugo S; Gatica, Gabriel N; Márquez, Antonio Article IMA Journal of Numerical Analysis (2019)
A mixed virtual element method for a pseudostress-based formulation of linear elasticity Caceres, E; Gatica, GN; Sequeira, FA Article ISI SCOPUS APPLIED NUMERICAL MATHEMATICS (2019)
A Posteriori Error Analysis of a Mixed-Primal Finite Element Method for the Boussinesq Problem with Temperature-Dependent Viscosity Almonacid, JA; Gatica, GN; Oyarzua, R Article ISI SCOPUS JOURNAL OF SCIENTIFIC COMPUTING (2019)
A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd-Stokes problem Caucao, S; Gatica, GN; Oyarzua, R Article ISI SCOPUS NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2019)
A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model Colmenares, E; Gatica, GN; Oyarzua, R Article ISI SCOPUS COMPUTERS & MATHEMATICS WITH APPLICATIONS (2019)
Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems Gatica, GN; Gomez-Vargas, B; Ruiz-Baier, R Article ISI SCOPUS COMPUTERS & MATHEMATICS WITH APPLICATIONS (2019)
New Mixed Finite Element Methods for Natural Convection with Phase-Change in Porous Media Alvarez M.; Gatica G.N.; Gomez-Vargas B.; Ruiz-Baier R. Article ISI SCOPUS JOURNAL OF SCIENTIFIC COMPUTING (2019)
On the coupling of vem and bem in two and three dimensions Gatica G.N.; Meddahi S. Article SCOPUS SIAM Journal on Numerical Analysis (2019)
A MIXED VIRTUAL ELEMENT METHOD FOR QUASI-NEWTONIAN STOKES FLOWS Caceres, E; Gatica, GN; Sequeira, FA Article ISI SCOPUS SIAM JOURNAL ON NUMERICAL ANALYSIS (2018)
A mixed virtual element method for the Navier-Stokes equations Gatica G.N.; Munar M.; Sequeira F.A. Article ISI SCOPUS Mathematical Models and Methods in Applied Sciences (2018)
A note on stable Helmholtz decompositions in 3D Gatica G.N. Article SCOPUS Applicable Analysis (2018)
A note on weak* convergence and compactness and their connection to the existence of the inverse-adjoint Gatica G.N. Article SCOPUS Applicable Analysis (2018)
Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations Caucao, S; Gatica G.N.; OyarzÃºa R. Article ISI SCOPUS ESAIM: Mathematical Modelling and Numerical Analysis (2018)
A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Šebestová, Ivana Article ISI SCOPUS JOURNAL OF NUMERICAL MATHEMATICS (2017)
A mixed virtual element method for the Brinkman problem Cáceres, Ernesto; Gatica, Gabriel N.; Sequeira, Filánder A. Article ISI SCOPUS MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2017)
A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem Cáceres, Ernesto; Gatica, Gabriel N. Article ISI SCOPUS IMA JOURNAL OF NUMERICAL ANALYSIS (2017)
A New Mixed Finite Element Method for Elastodynamics with Weak Symmetry García, Carlos; Gatica, Gabriel N.; Meddahi, Salim Article ISI SCOPUS JOURNAL OF SCIENTIFIC COMPUTING (2017)
A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2017)
An augmented fully-mixed finite element method for the stationary Boussinesq problem Colmenares, Eligio; Gatica, Gabriel N.; Oyarzua, R. Article CALCOLO (2017)
An augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosity Cama?o, Jessika; Gatica, Gabriel N.; Oyarz?a, Ricardo; Ruiz-Baier, Ricardo Article ISI SCOPUS NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2017)
Analysis of the HDG method for the stokes-darcy coupling Gatica, Gabriel N.; Sequeira, Filánder A. Article ISI SCOPUS NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2017)
A mixed finite element method for Darcy s equations with pressure dependent porosity Gatica, Gabriel N.; Ruiz-Baier, Ricardo; Tierra, Giordano Article SCOPUS MATHEMATICS OF COMPUTATION (2016)
A mixed-primal finite element approximation of a sedimentation-consolidation system Alvarez M.; Gatica, GN; Ruiz-Baier, R Article ISI SCOPUS MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2016)
A new mixed finite element analysis of the elastodynamic equations Garca, Carlos; Gatica, Gabriel N; Meddahi, Salim Article ISI SCOPUS APPLIED MATHEMATICS LETTERS (2016)
A POSTERIORI ERROR ANALYSIS FOR A VISCOUS FLOW-TRANSPORT PROBLEM GATICA, Gabriel; Alvarez, Mario; Ruiz-Baier, Ricardo Article ISI SCOPUS ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2016)
A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity Gatica, Gabriel N.; Ruiz-Baier, Ricardo; Tierra, Giordano Article ISI SCOPUS COMPUTERS & MATHEMATICS WITH APPLICATIONS (2016)
A primal-mixed formulation for the strong coupling of quasi-Newtonian fluids with porous media Domnguez, Sebastin; Gatica, Gabriel N; Mrquez, Antonio; Meddahi, Salim Article ISI SCOPUS ADVANCES IN COMPUTATIONAL MATHEMATICS (2016)
A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity Gatica, GN; Gatica, LF; Sequeira, FA Article ISI SCOPUS COMPUTERS & MATHEMATICS WITH APPLICATIONS (2016)
A Priori and a Posteriori Error Analyses of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows Gatica, Gabriel N; Sequeira, Filnder A. Article ISI SCOPUS JOURNAL OF SCIENTIFIC COMPUTING (2016)
A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions Domínguez C.; Gatica, GN; Marquez, A Article ISI SCOPUS JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2016)
A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem Alvarez, Mario; Gatica, Gabriel N; Ruiz-Baier, Ricardo Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2016)
An augmented fully-mixed finite element method for the stationary Boussinesq problem Colmenares, E; Gatica G.N.; Oyarzúa R. Article SCOPUS CALCOLO (2016)
AN AUGMENTED MIXED FINITE ELEMENT METHOD FOR THE NAVIER-STOKES EQUATIONS WITH VARIABLE VISCOSITY Camano, Jessika; Gatica, Gabriel N; Oyarza, Ricardo; Tierra, Giordano Article ISI SCOPUS SIAM JOURNAL ON NUMERICAL ANALYSIS (2016)
Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem Colmenares, E; Gatica, GN; Oyarzúa R. Article ISI SCOPUS NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2016)
Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem Colmenares, Eligio; Gatica, Gabriel N; Oyarza, Ricardo Article ISI SCOPUS COMPTES RENDUS MATHEMATIQUE (2016)
NEW DEVELOPMENTS ON THE COUPLING OF MIXED-FEM AND BEM FOR THE THREE-DIMENSIONAL EXTERIOR STOKES PROBLEM Gatica, G.N.; Hsiao; G.C.; Meddahi, S.; Sayas Article International Journal of Numerical Analysis and Modeling (2016)
A MIXED FINITE ELEMENT METHOD FOR DARCY'S EQUATIONS WITH PRESSURE DEPENDENT POROSITY Gatica, GN; Ruiz-Baier, R; Tierra G. Article ISI MATHEMATICS OF COMPUTATION (2015)
A POSTERIORI ERROR ANALYSIS OF A FULLY-MIXED FINITE ELEMENT METHOD FOR A TWO-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM Domínguez C.; Gatica, GN; Meddahi S. Article ISI SCOPUS Journal of Computational Mathematics (2015)
A RTk - P-k approximation for linear elasticity yielding a broken H(div) convergent postprocessed stress Gatica, GN; Gatica, LF; Sequeira, FA Article ISI SCOPUS Applied Mathematics Letters (2015)
AN AUGMENTED MIXED-PRIMAL FINITE ELEMENT METHOD FOR A COUPLED FLOW-TRANSPORT PROBLEM Alvarez M.; Gatica, GN; Ruiz-Baier, R Article ISI SCOPUS ESAIM: Mathematical Modelling and Numerical Analysis (2015)
An augmented velocity-vorticity-pressure formulation for the Brinkman equations Anaya, V; Gatica, GN; Mora, D; Ruiz-Baier, R Article ISI SCOPUS International Journal for Numerical Methods in Fluids (2015)
Analysis of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows Gatica, GN; Sequeira, FA Article ISI SCOPUS Journal of Scientific Computing (2015)
Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow Gatica, GN; Gatica, LF; Sequeira, FA Article ISI SCOPUS Computer Methods in Applied Mechanics and Engineering (2015)
New fully-mixed finite element methods for the Stokes-Darcy coupling Camano, J; Gatica, GN; Oyarzúa R.; Ruiz-Baier, R; Venegas P. Article ISI SCOPUS Computer Methods in Applied Mechanics and Engineering (2015)
A posteriori error analysis of twofold saddle point variational formulations for nonlinear boundary value problems Garralda-Guillem A.I.; Galan M.R.; Gatica G.N.; Marquez, A Article ISI IMA JOURNAL OF NUMERICAL ANALYSIS (2014)
Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow Gatica, GN; Gatica, LF; Marquez, A Article ISI SCOPUS NUMERISCHE MATHEMATIK (2014)
Analysis of an augmented fully-mixed approach for the coupling of quasi-Newtonian fluids and porous media Gatica, GN; Marquez, A; Oyarzúa R.; Rebolledo R. Article ISI COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2014)
ANALYSIS OF AN AUGMENTED FULLY-MIXED FINITE ELEMENT METHOD FOR A THREE-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM Gatica, Gabriel N.; Marquez, Antonio; Meddahi, Salim Article International Journal of Numerical Analysis and Modeling (2014)
ANALYSIS OF AN AUGMENTED FULLY-MIXED FINITE ELEMENT METHOD FOR A THREE-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM Gatica, Gabriel N; Marquez, Antonio; Meddahi, Salim Article SCOPUS International Journal of Numerical Analysis and Modeling (2014)
Coupling of mixed finite element and stabilized boundary element methods for a fluid-solid interaction problem in 3D Gatica, GN; Heuer, N; Meddahi S. Article ISI SCOPUS NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2014)
A priori and a posteriori error analyses of augmented twofold saddle point formulations for nonlinear elasticity problems Gatica, GN; Marquez, A; Rudolph, W Article ISI SCOPUS Computer Methods in Applied Mechanics and Engineering (2013)
A PRIORI ERROR ANALYSIS OF A FULLY-MIXED FINITE ELEMENT METHOD FOR A TWO-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM Domínguez C.; Gatica, GN; Meddahi S.; Oyarzúa R. Article ISI SCOPUS ESAIM: Mathematical Modelling and Numerical Analysis (2013)
On the dual-mixed formulation for an exterior Stokes problem Gatica, GN; Hsiao GC; Meddahi S.; Sayas, FJ Article ISI SCOPUS ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik (2013)
A twofold saddle point approach for the coupling of fluid flow with nonlinear porous media flow Gatica G.N.; Oyarzúa R.; Sayas F.-J. Article ISI SCOPUS IMA Journal of Numerical Analysis (2012)
ANALYSIS OF THE COUPLING OF LAGRANGE AND ARNOLD-FALK-WINTHER FINITE ELEMENTS FOR A FLUID-SOLID INTERACTION PROBLEM IN THREE DIMENSIONS Gatica G.N.; Marquez, A; Meddahi S. Article ISI SCOPUS SIAM Journal on Numerical Analysis (2012)
Finite element analysis of a time harmonic Maxwell problem with an impedance boundary condition Gatica G.N.; Meddahi S. Article ISI SCOPUS IMA Journal of Numerical Analysis (2012)
Pseudostress-Based Mixed Finite Element Methods for the Stokes Problem in R-n with Dirichlet Boundary Conditions. I: A Priori Error Analysis Gatica G.N.; Marquez, A; Sanchez M.A. Article ISI SCOPUS Communications in Computational Physics (2012)
Relaxing the hypotheses of Bielak-MacCamy's BEM-FEM coupling Gatica G.N.; Hsiao G.C.; Sayas F.-J. Article ISI SCOPUS Numerische Mathematik (2012)
A priori and a posteriori error analyses of a velocity-pseudostress formulation for a class of quasi-Newtonian Stokes flows Gatica, GN; Marquez, A; Sánchez MA Article ISI SCOPUS Computer Methods in Applied Mechanics and Engineering (2011)
A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem Gatica, GN; Oyarzúa R.; Sayas, FJ Article ISI SCOPUS Computer Methods in Applied Mechanics and Engineering (2011)
ANALYSIS OF FULLY-MIXED FINITE ELEMENT METHODS FOR THE STOKES-DARCY COUPLED PROBLEM Gatica, GN; Oyarzúa R.; Sayas, FJ Article ISI SCOPUS Mathematics of Computation (2011)
Augmented mixed finite element methods for a vorticity-based velocity-pressure-stress formulation of the Stokes problem in 2D Gatica, GN; Gatica, LF; Marquez, A Article ISI SCOPUS International Journal for Numerical Methods in Fluids (2011)
Convergence of a Family of Galerkin Discretizations for the Stokes-Darcy Coupled Problem Gatica, GN; Oyarzúa R.; Sayas, FJ Article ISI SCOPUS Numerical Methods for Partial Differential Equations (2011)
NUMERICAL ANALYSIS OF A TRANSMISSION PROBLEM WITH SIGNORINI CONTACT USING MIXED-FEM AND BEM Gatica, GN; Maischak, M; Stephan, EP Article ISI SCOPUS ESAIM: Mathematical Modelling and Numerical Analysis (2011)
A COUPLED MIXED FINITE ELEMENT METHOD FOR THE INTERACTION PROBLEM BETWEEN AN ELECTROMAGNETIC FIELD AND AN ELASTIC BODY Gatica, GN; Hsiao GC; Meddahi S. Article ISI SCOPUS SIAM Journal on Numerical Analysis (2010)
A DIRECT COUPLING OF LOCAL DISCONTINUOUS GALERKIN AND BOUNDARY ELEMENT METHODS Gatica, GN; Heuer, N; Sayas, FJ Article ISI SCOPUS Mathematics of Computation (2010)
A RESIDUAL-BASED A POSTERIORI ERROR ESTIMATOR FOR THE STOKES-DARCY COUPLED PROBLEM Babuska I; Gatica, GN Article ISI SCOPUS SIAM Journal on Numerical Analysis (2010)
Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations Gatica, GN; Marquez, A; Sánchez MA Article ISI SCOPUS Computer Methods in Applied Mechanics and Engineering (2010)
A conforming mixed finite-element method for the coupling of fluid flow with porous media flow Gatica, GN; Meddahi S.; Oyarzúa R. Article ISI SCOPUS IMA JOURNAL OF NUMERICAL ANALYSIS (2009)
A new coupling of mixed finite element and boundary element methods for an exterior Helmholtz problem in the plane Gatica, GN; Marquez, A; Meddahi S. Article ISI SCOPUS ADVANCES IN COMPUTATIONAL MATHEMATICS (2009)
A residual-based a posteriori error estimator for a two-dimensional fluid-solid interaction problem Gatica, GN; Hsiao GC; Meddahi S. Article ISI SCOPUS NUMERISCHE MATHEMATIK (2009)
An augmented mixed finite element method for 3D linear elasticity problems Gatica, GN; Marquez, A; Meddahi S. Article ISI SCOPUS JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2009)
Analysis of the coupling of BEM, FEM and mixed-FEM for a two-dimensional fluid-solid interaction problem Gatica, GN; Marquez, A; Meddahi S. Article ISI SCOPUS APPLIED NUMERICAL MATHEMATICS (2009)
The Boundary Element Method with Lagrangian Multipliers Gatica, GN; Healey, M; Heuer, N Article ISI SCOPUS NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2009)
A new dual-mixed finite element method for the plane linear elasticity problem with pure traction boundary conditions Gatica, GN; Marquez, A; Meddahi S. Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2008)
A priori and a posteriori error analysis of an augmented mixed finite element method for incompressible fluid flows Figueroa, LE; Gatica, GN; Heuer, N Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2008)
AUGMENTED MIXED FINITE ELEMENT METHODS FOR THE STATIONARY STOKES EQUATIONS Figueroa, LE; Gatica, GN; Marquez, A Article ISI SCOPUS SIAM JOURNAL ON SCIENTIFIC COMPUTING (2008)
Characterizing the inf-sup condition on product spaces Gatica, GN; Sayas, FJ Article ISI SCOPUS NUMERISCHE MATHEMATIK (2008)
On the coupling of local discontinuous Galerkin and boundary element methods for non-linear exterior transmission problems Bustinza, R; Gatica, GN; Sayas, FJ Article ISI SCOPUS IMA JOURNAL OF NUMERICAL ANALYSIS (2008)
A dual-mixed finite element method for nonlinear incompressible elasticity with mixed boundary conditions Gatica, GN; Gatica, LF; Stephan, EP Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2007)
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 ISI SCOPUS NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION (2007)
An augmented mixed finite element method for linear elasticity with non-homogeneous dirichlet conditions Gatica, GN Article ISI SCOPUS ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS (2007)
An augmented mixed finite element method with Lagrange multipliers: A priori and a posteriori error analyses Barrios, TP; Gatica, GN Article ISI SCOPUS JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2007)
Analysis of the coupling of primal and dual-mixed finite element methods for a two-dimensional fluid-solid interaction problem Gatica, GN; Marquez, A; Meddahi S. Article ISI SCOPUS SIAM JOURNAL ON NUMERICAL ANALYSIS (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 ISI SCOPUS ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2006)
A wavelet-based stabilization of the mixed finite element method with Lagrange multipliers Barrios, TP; Gatica, GN; Paiva F. Article ISI SCOPUS APPLIED MATHEMATICS LETTERS (2006)
An a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods Gatica, GN; Sayas, FJ Article ISI SCOPUS MATHEMATICS OF COMPUTATION (2006)
Analysis of a new augmented mixed finite element method for linear elasticity allowing RT0-P-1-P-0 approximations Gatica, GN Article ISI SCOPUS ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2006)
On the a priori and a posteriori error analysis of a two-fold saddle-point approach for nonlinear incompressible elasticity Gatica, GN; Gatica, LF Article ISI SCOPUS INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2006)
A local discontinuous galerkin method for nonlinear diffusion problems with mixed boundary conditions Bustinza, R; Gatica G.N. Article SCOPUS SIAM JOURNAL ON SCIENTIFIC COMPUTING (2005)
A mixed finite element method for the generalized Stokes problem Bustinza, R; Gatica, GN; Gonzalez, M. Article ISI SCOPUS INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2005)
A mixed local discontinuous Galerkin method for a class of nonlinear problems in fluid mechanics Bustinza, R; Gatica, GN Article ISI SCOPUS JOURNAL OF COMPUTATIONAL PHYSICS (2005)
A Posteriori error estimates for the mixed finite element method with lagrange multipliers Gatica, GN; Maischak, M Article ISI SCOPUS NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2005)
An A posteriori error estimate for the local discontinuous Galerkin method applied to linear and nonlinear diffusion problems Bustinza, R; Gatica, GN; Cockburn, B Article ISI SCOPUS JOURNAL OF SCIENTIFIC COMPUTING (2005)
Enriched finite element subspaces for dual-dual mixed formulations in fluid mechanics and elasticity Bustinza, R; Gatica, GN; Gonzalez, M.; Meddahi S.; Stephan, EP Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2005)
On the coupling of MIXED-FEM and BEM for an exterior Helmholtz problem in the plane Gatica, GN; Meddahi S. Article ISI SCOPUS NUMERISCHE MATHEMATIK (2005)
A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part I: a priori error analysis Gatica, GN; Gonzalez, M.; Meddahi S. Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2004)
A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part II: a posteriori error analysis Gatica, GN; Gonzalez, M.; Meddahi S. Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2004)
A mixed finite element method with Lagrange multipliers for nonlinear exterior transmission problems Bustinza, R; Garcia, GC; Gatica, GN Article ISI SCOPUS NUMERISCHE MATHEMATIK (2004)
A note on the efficiency of residual-based a-posteriori error estimators for some mixed finite element methods Gatica, GN Article ISI ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS (2004)
Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem Barrientos, MA; Gatica, GN; Rodriguez, R; Torrejon, ME Article ISI SCOPUS ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2004)
On the numerical analysis of a nonlinear elliptic problem via mixed-FEM and Lagrange multipliers Barrios, TP; Gatica, GN; Gatica, LF Article ISI SCOPUS APPLIED NUMERICAL MATHEMATICS (2004)
A FEM-DtN formulation for a non-linear exterior problem in incompressible elasticity Gatica, GN; Gatica, LF; Stephan, EP Article ISI SCOPUS MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2003)
A preconditioned MINRES method for the coupling of mixed-fem and bem for some nonlinear problems Gatica G.N.; Heuer, N Article SCOPUS SIAM JOURNAL ON SCIENTIFIC COMPUTING (2003)
Least squares methods for the coupling of FEM and BEM Gatica, GN; Harbrecht, H; SCHNEIDER R. Article ISI SIAM JOURNAL ON NUMERICAL ANALYSIS (2003)
On the mixed finite element method with Lagrange multipliers Babuska I; Gatica, GN Article ISI SCOPUS NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2003)
On the numerical analysis of nonlinear twofold saddle point problems Gatica, GN; Heuer, N; Meddahi S. Article ISI SCOPUS IMA JOURNAL OF NUMERICAL ANALYSIS (2003)
A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a-posteriori error estimate Barrientos, MA; Gatica, GN; Stephan, EP Article ISI SCOPUS NUMERISCHE MATHEMATIK (2002)
A mixed-FEM formulation for nonlinear incompressible elasticity in the plane Gatica, GN Article ISI SCOPUS NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2002)
A posteriori error estimates for a mixed-FEM formulation of a non-linear elliptic problem Araya, R; Barrios, TP; Gatica, GN; Heuer, N Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2002)
A-posteriori error estimates for linear exterior problems via mixed-FEM and DtN mappings Barrientos, MA; Gatica, GN; Maischak, M Article ISI SCOPUS ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2002)
An a posteriori error estimate for a linear-nonlinear transmission problem in plane elastostatics Barrientos, MA; Gatica, GN; Heuer, N Article ISI SCOPUS CALCOLO (2002)
Conjugate gradient method for dual-dual mixed formulations Gatica, GN; Heuer, N Article ISI SCOPUS MATHEMATICS OF COMPUTATION (2002)
Solvability and Galerkin approximations of a class of nonlinear operator equations Gatica, GN Article ISI SCOPUS ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN (2002)
A domain decomposition method based on BEM and FEM for linear exterior boundary value problems Gatica, GN; Hsiao GC; Mellado, ME Article ISI JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2001)
A dual-dual formulation for the coupling of mixed-fem and bem in hyperelasticity Gatica G.N.; Heuer, N Article SCOPUS SIAM JOURNAL ON NUMERICAL ANALYSIS (2001)
A dual-dual mixed formulation for nonlinear exterior transmission problems Gatica, GN; Meddahi S. Article ISI SCOPUS MATHEMATICS OF COMPUTATION (2001)
A fully discrete Galerkin scheme for a two-fold saddle point formulation of an exterior nonlinear problem Gatica, GN; Meddahi S. Article ISI SCOPUS NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION (2001)
A primal mixed formulation for exterior transmission problems in R-2 Barrenechea, GR; Gatica, GN Article ISI NUMERISCHE MATHEMATIK (2001)
An expanded mixed finite element approach via a dual-dual formulation and the minimum residual method Gatica, GN; Heuer, N Article ISI SCOPUS JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2001)
An implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics Gatica, GN; Heuer, N; Stephan, EP Article ISI MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2001)
Implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics Gatica G.N.; Heuer, N; Stephan E.P. Article SCOPUS MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2001)
Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems Gatica, GN; Heuer, N Article ISI SCOPUS NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS (2001)
Variational formulations of transmission problems via FEM, BEM and DtN mappings Gatica, GN Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2000)


A Simple Introduction to the Mixed Finite Element Method. Theory and Applications Gatica, Gabriel N. BookWhole (2014)
Introduccion al Analisis Funcional. Teoria y Aplicaciones Gatica, Gabriel N. BookWhole (2014)


A LDG-BEM coupling for a class of nonlinear exterior transmission problems Bustinza, R; Gatica, GN; Sayas, FJ ConferencePaper ISI Numerical Mathematics and Advanced Applications (2006)


Special Issue: Fourth Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2013), Universidad de Concepcion, Chile Burger, R; Gatica, GN; Heuer, N; Rodriguez, R; Sepúlveda M. EditorialMaterial ISI SCOPUS Applied Numerical Mathematics (2015)
Special Issue: Advances in Boundary Integral Equations and Related Topics: On the Occasion of Professor George C. Hsiao's 75th Birthday Preface Gatica, GN; Cook, LP; Jordan, KE; Nigam, N; Steinbach, O; Xu, LW EditorialMaterial ISI APPLIED NUMERICAL MATHEMATICS (2012)
Special Issue: Third Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE), 11-15 January 2010, Universidad de Concepcion, Chile Preface Burger, R; Gatica G.N.; Heuer, N; Rodriguez, R EditorialMaterial ISI SCOPUS Applied Numerical Mathematics (2012)
Selected papers from the first Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2004) - Preface Gatica, GN; Heuer, N; Rodriguez, R EditorialMaterial ISI APPLIED NUMERICAL MATHEMATICS (2006)