Man

Gabriel Gatica

Senior Researcher and Full Professor

Universidad de Concepcion

Concepcion, Chile

Líneas de Investigación


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.

Educación

  •  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

Experiencia Académica

  •   Full Professor Full Time

    UNIVERSIDAD DE CONCEPCION

    Faculty of Physical and Mathematical Sciences

    Concepcion, Chile

    1980 - A la fecha

  •   Senior Researcher and Director Full Time

    UNIVERSIDAD DE CONCEPCION

    Center for Research in Mathematical Engineering

    Concepcion, Chile

    2009 - A la fecha

Formación de Capital Humano


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.


Difusión y Transferencia


68 presentations in national and international conferences as invited speaker.

58 presentations in national and international conferences as contributing author.


Premios y Distinciones

  •   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.


 

Article (143)

A fully‐mixed finite element method for the coupling of the Navier–Stokes and Darcy–Forchheimer equations
A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity
Analysis of an augmented fully-mixed finite element method for a bioconvective flows model
Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds
New Primal and Dual-Mixed Finite Element Methods for Stable Image Registration with Singular Regularization
Residual-based a posteriori error analysis for the coupling of the Navier-Stokes and Darcy-Forchheimer equations
A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
A Banach spaces-based analysis of a new mixed-primal finite element method for a coupled flow-transport problem
A conforming mixed finite element method for the Navier–Stokes/Darcy–Forchheimer coupled problem
A five-field augmented fully-mixed finite element method for the Navier–Stokes/Darcy coupled problem
A Fully-Mixed Finite Element Method for the n-Dimensional Boussinesq Problem with Temperature-Dependent Parameters
A fully-mixed finite element method for the steady state Oberbeck–Boussinesq system
A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman–Forchheimer Equations
A Mixed Virtual Element Method for the Boussinesq Problem on Polygonal Meshes
A mixed-primal finite element method for the coupling of Brinkman–Darcy flow and nonlinear transport
An augmented fully-mixed finite element method for a coupled flow-transport problem
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems
n-dimensional Boussinesq problem with temperature-dependent viscosity]]>
Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics
A fully mixed finite element method for the coupling of the Stokes and Darcy–Forchheimer problems
A mixed virtual element method for a pseudostress-based formulation of linear elasticity
A Posteriori Error Analysis of a Mixed-Primal Finite Element Method for the Boussinesq Problem with Temperature-Dependent Viscosity
A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd-Stokes problem
A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model
Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems
New Mixed Finite Element Methods for Natural Convection with Phase-Change in Porous Media
On the coupling of vem and bem in two and three dimensions
A MIXED VIRTUAL ELEMENT METHOD FOR QUASI-NEWTONIAN STOKES FLOWS
A mixed virtual element method for the Navier-Stokes equations
A note on stable Helmholtz decompositions in 3D
A note on weak* convergence and compactness and their connection to the existence of the inverse-adjoint
Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations
A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity
A mixed virtual element method for the Brinkman problem
A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem
A New Mixed Finite Element Method for Elastodynamics with Weak Symmetry
A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity
An augmented fully-mixed finite element method for the stationary Boussinesq problem
An augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosity
Analysis of the HDG method for the stokes-darcy coupling
A mixed finite element method for Darcy s equations with pressure dependent porosity
A mixed-primal finite element approximation of a sedimentation-consolidation system
A new mixed finite element analysis of the elastodynamic equations
A POSTERIORI ERROR ANALYSIS FOR A VISCOUS FLOW-TRANSPORT PROBLEM
A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity
A primal-mixed formulation for the strong coupling of quasi-Newtonian fluids with porous media
A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity
A Priori and a Posteriori Error Analyses of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows
A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions
A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem
An augmented fully-mixed finite element method for the stationary Boussinesq problem
AN AUGMENTED MIXED FINITE ELEMENT METHOD FOR THE NAVIER-STOKES EQUATIONS WITH VARIABLE VISCOSITY
Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem
Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem
NEW DEVELOPMENTS ON THE COUPLING OF MIXED-FEM AND BEM FOR THE THREE-DIMENSIONAL EXTERIOR STOKES PROBLEM
A MIXED FINITE ELEMENT METHOD FOR DARCY'S EQUATIONS WITH PRESSURE DEPENDENT POROSITY
A POSTERIORI ERROR ANALYSIS OF A FULLY-MIXED FINITE ELEMENT METHOD FOR A TWO-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM
A RTk - P-k approximation for linear elasticity yielding a broken H(div) convergent postprocessed stress
AN AUGMENTED MIXED-PRIMAL FINITE ELEMENT METHOD FOR A COUPLED FLOW-TRANSPORT PROBLEM
An augmented velocity-vorticity-pressure formulation for the Brinkman equations
Analysis of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows
Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow
New fully-mixed finite element methods for the Stokes-Darcy coupling
A posteriori error analysis of twofold saddle point variational formulations for nonlinear boundary value problems
Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow
Analysis of an augmented fully-mixed approach for the coupling of quasi-Newtonian fluids and porous media
ANALYSIS OF AN AUGMENTED FULLY-MIXED FINITE ELEMENT METHOD FOR A THREE-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM
ANALYSIS OF AN AUGMENTED FULLY-MIXED FINITE ELEMENT METHOD FOR A THREE-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM
Coupling of mixed finite element and stabilized boundary element methods for a fluid-solid interaction problem in 3D
A priori and a posteriori error analyses of augmented twofold saddle point formulations for nonlinear elasticity problems
A PRIORI ERROR ANALYSIS OF A FULLY-MIXED FINITE ELEMENT METHOD FOR A TWO-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM
On the dual-mixed formulation for an exterior Stokes problem
A twofold saddle point approach for the coupling of fluid flow with nonlinear porous media flow
ANALYSIS OF THE COUPLING OF LAGRANGE AND ARNOLD-FALK-WINTHER FINITE ELEMENTS FOR A FLUID-SOLID INTERACTION PROBLEM IN THREE DIMENSIONS
Finite element analysis of a time harmonic Maxwell problem with an impedance boundary condition
Pseudostress-Based Mixed Finite Element Methods for the Stokes Problem in R-n with Dirichlet Boundary Conditions. I: A Priori Error Analysis
Relaxing the hypotheses of Bielak-MacCamy's BEM-FEM coupling
A priori and a posteriori error analyses of a velocity-pseudostress formulation for a class of quasi-Newtonian Stokes flows
A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem
ANALYSIS OF FULLY-MIXED FINITE ELEMENT METHODS FOR THE STOKES-DARCY COUPLED PROBLEM
Augmented mixed finite element methods for a vorticity-based velocity-pressure-stress formulation of the Stokes problem in 2D
Convergence of a Family of Galerkin Discretizations for the Stokes-Darcy Coupled Problem
NUMERICAL ANALYSIS OF A TRANSMISSION PROBLEM WITH SIGNORINI CONTACT USING MIXED-FEM AND BEM
A COUPLED MIXED FINITE ELEMENT METHOD FOR THE INTERACTION PROBLEM BETWEEN AN ELECTROMAGNETIC FIELD AND AN ELASTIC BODY
A DIRECT COUPLING OF LOCAL DISCONTINUOUS GALERKIN AND BOUNDARY ELEMENT METHODS
A RESIDUAL-BASED A POSTERIORI ERROR ESTIMATOR FOR THE STOKES-DARCY COUPLED PROBLEM
Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations
A conforming mixed finite-element method for the coupling of fluid flow with porous media flow
A new coupling of mixed finite element and boundary element methods for an exterior Helmholtz problem in the plane
A residual-based a posteriori error estimator for a two-dimensional fluid-solid interaction problem
An augmented mixed finite element method for 3D linear elasticity problems
Analysis of the coupling of BEM, FEM and mixed-FEM for a two-dimensional fluid-solid interaction problem
The Boundary Element Method with Lagrangian Multipliers
A new dual-mixed finite element method for the plane linear elasticity problem with pure traction boundary conditions
A priori and a posteriori error analysis of an augmented mixed finite element method for incompressible fluid flows
AUGMENTED MIXED FINITE ELEMENT METHODS FOR THE STATIONARY STOKES EQUATIONS
Characterizing the inf-sup condition on product spaces
On the coupling of local discontinuous Galerkin and boundary element methods for non-linear exterior transmission problems
A dual-mixed finite element method for nonlinear incompressible elasticity with mixed boundary conditions
A priori and a posteriori error analysis of a wavelet based stabilization for the mixed finite element method
An augmented mixed finite element method for linear elasticity with non-homogeneous dirichlet conditions
An augmented mixed finite element method with Lagrange multipliers: A priori and a posteriori error analyses
Analysis of the coupling of primal and dual-mixed finite element methods for a two-dimensional fluid-solid interaction problem
A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity
A wavelet-based stabilization of the mixed finite element method with Lagrange multipliers
An a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods
Analysis of a new augmented mixed finite element method for linear elasticity allowing RT0-P-1-P-0 approximations
On the a priori and a posteriori error analysis of a two-fold saddle-point approach for nonlinear incompressible elasticity
A local discontinuous galerkin method for nonlinear diffusion problems with mixed boundary conditions
A mixed finite element method for the generalized Stokes problem
A mixed local discontinuous Galerkin method for a class of nonlinear problems in fluid mechanics
A Posteriori error estimates for the mixed finite element method with lagrange multipliers
An A posteriori error estimate for the local discontinuous Galerkin method applied to linear and nonlinear diffusion problems
Enriched finite element subspaces for dual-dual mixed formulations in fluid mechanics and elasticity
On the coupling of MIXED-FEM and BEM for an exterior Helmholtz problem in the plane
A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part I: a priori error analysis
A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part II: a posteriori error analysis
A mixed finite element method with Lagrange multipliers for nonlinear exterior transmission problems
A note on the efficiency of residual-based a-posteriori error estimators for some mixed finite element methods
Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem
On the numerical analysis of a nonlinear elliptic problem via mixed-FEM and Lagrange multipliers
A FEM-DtN formulation for a non-linear exterior problem in incompressible elasticity
A preconditioned MINRES method for the coupling of mixed-fem and bem for some nonlinear problems
Least squares methods for the coupling of FEM and BEM
On the mixed finite element method with Lagrange multipliers
On the numerical analysis of nonlinear twofold saddle point problems
A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a-posteriori error estimate
A mixed-FEM formulation for nonlinear incompressible elasticity in the plane
A posteriori error estimates for a mixed-FEM formulation of a non-linear elliptic problem
A-posteriori error estimates for linear exterior problems via mixed-FEM and DtN mappings
An a posteriori error estimate for a linear-nonlinear transmission problem in plane elastostatics
Conjugate gradient method for dual-dual mixed formulations
Solvability and Galerkin approximations of a class of nonlinear operator equations
A domain decomposition method based on BEM and FEM for linear exterior boundary value problems
A dual-dual formulation for the coupling of mixed-fem and bem in hyperelasticity
A dual-dual mixed formulation for nonlinear exterior transmission problems
A fully discrete Galerkin scheme for a two-fold saddle point formulation of an exterior nonlinear problem
A primal mixed formulation for exterior transmission problems in R-2
An expanded mixed finite element approach via a dual-dual formulation and the minimum residual method
An implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics
Implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics
Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems
Variational formulations of transmission problems via FEM, BEM and DtN mappings

BookWhole (2)

A Simple Introduction to the Mixed Finite Element Method. Theory and Applications
Introduccion al Analisis Funcional. Teoria y Aplicaciones

ConferencePaper (1)

A LDG-BEM coupling for a class of nonlinear exterior transmission problems

EditorialMaterial (4)

Special Issue: Fourth Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2013), Universidad de Concepcion, Chile
Special Issue: Advances in Boundary Integral Equations and Related Topics: On the Occasion of Professor George C. Hsiao's 75th Birthday Preface
Special Issue: Third Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE), 11-15 January 2010, Universidad de Concepcion, Chile Preface
Selected papers from the first Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2004) - Preface
147
Gabriel Gatica

Senior Researcher and Full Professor

Center for Research in Mathematical Engineering and Department of Mathematical Engineering

Universidad de Concepcion

Concepcion, Chile

19
Ricardo Oyarzúa

Associate Professor

Mathematics

UNIVERSIDAD DEL BIO-BIO

Concepcion, Chile

9
Luis Gatica

Associate Professor

Departamento de Matemática y Física Aplicadas

UNIVERSIDAD CATÓLICA DE LA SANTÍSIMA CONCEPCIÓN

Concepción, Chile

8
Rommel Bustinza

Associate Professor

Departamento de Ingenieria Matematica

UNIVERSIDAD DE CONCEPCION

Concepcion, Chile

5
Norbert Heuer

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE, FACULTAD DE MATEMATICAS

Santiago, Chile

4
Ernesto Cáceres

Data Analyst

Hibring

Concepción, Chile

4
Rodolfo Rodriguez

Full Professor

Ingeniería Matemática

UNIVERSIDAD DE CONCEPCION

Concepción, Chile

3
Manuel Sanchez

Profesor Asistente

Instituto de Ingenieria Matematica y Computacional

Pontificia Universidad Católica de Chile

Macul, Chile

3
Jessika Camaño

Associate Professor

Departamento de Matemática y Física Aplicadas

UNIVERSIDAD CATOLICA DE LA SANTISIMA CONCEPCION

Concepción, Chile

3
Carolina Domínguez

Profesor Auxiliar

Instituto de Ciencias Físicas y Matemáticas

Universidad Austral de Chile

Valdivia, Chile

2
Raimund Bürger

Profesor Titular (Full Professor)

CI2MA & Departamento de Ingeniería Matemática

UNIVERSIDAD DE CONCEPCIÓN

Concepción, Chile

2
Leonardo Figueroa

Profesor Asistente

Departamento de Ingeniería Matemática

Universidad de Concepción

Concepción, Chile

2
Carlos Garcia

Postdoctorado

Facultad de Matemáticas

Pontificia Universidad Católica de Chile

Santiago, Chile

1
Mauricio Sepúlveda

Profesor Titular

Department of Mathematical Engineering

Universidad de Concepción

Concepción, Chile

1
Verónica Anaya

Associate Professor

Universidad del Bío-Bío

CONCEPCIÓN, Chile

1
Rodolfo Araya

Full Professor

Mathematical Engineering

DEPARTAMENTO DE INGENIERIA MATEMATICA, UNIVERSIDAD DE CONCEPCION

Concepcion, Chile

1
Eligio Colmenares

PROFESOR ASISTENTE

CIENCIAS BÁSICAS

Universidad del Bío-Bío

CHILLÁN , Chile

1
David Mora

Associate Professor

Department of Mathematics

UNIVERSIDAD DEL BIO-BIO

CONCEPCION, Chile