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Luis Fernando Gatica Simpertigue

Associate Professor

UNIVERSIDAD CATÓLICA DE LA SANTÍSIMA CONCEPCIÓN

Concepción, Chile

Numerical Analysis of Partial Differential Equations

Applied Mathematics, UNIVERSIDAD DE CONCEPCION. Chile, 2005

Assistant Professor Other

UNIVERSIDAD DE LA FRONTERA

Ingeniería Ciencias y Administración

Temuco, Chile

1984 - 1996


Mixed Kirchhoff stress–displacement–pressure formulations for incompressible hyperelasticity Farrell, Patrick E.; Gatica, Luis F.; Lamichhane, Bishnu P.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo Article COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)
A priori and a posteriori error analyses of an HDG method for the Brinkman problem Gatica, LF; Sequeira, FA Article ISI SCOPUS COMPUTERS & MATHEMATICS WITH APPLICATIONS (2018)
A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem Gatica, LF; Oyarzua, R; Sanchez, N Article ISI SCOPUS COMPUTERS & MATHEMATICS WITH APPLICATIONS (2018)
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 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)
Algorithm 949: MATLAB Tools for HDG in Three Dimensions Fu, ZX; Gatica, LF; Sayas, FJ Article ISI SCOPUS ACM Transactions on Mathematical Software (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)
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)
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)
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)
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)
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)

Luis Gatica

Associate Professor

Departamento de Matemática y Física Aplicadas

UNIVERSIDAD CATÓLICA DE LA SANTÍSIMA CONCEPCIÓN

Concepción, Chile

Gabriel Gatica

Senior Researcher and Full Professor

Center for Research in Mathematical Engineering and Department of Mathematical Engineering

Universidad de Concepcion

Concepcion, Chile

Ricardo Oyarzúa

Associate Professor

Mathematics

UNIVERSIDAD DEL BIO-BIO

Concepcion, Chile

Luis Fernando Gatica Simpertigue

Líneas de Investigación

Educación

Applied Mathematics, UNIVERSIDAD DE CONCEPCION. Chile, 2005

Experiencia Académica

Assistant Professor Other

Article (13)

Mixed Kirchhoff stress–displacement–pressure formulations for incompressible hyperelasticity

A priori and a posteriori error analyses of an HDG method for the Brinkman problem

A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem

A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity

A RTk - P-k approximation for linear elasticity yielding a broken H(div) convergent postprocessed stress

Algorithm 949: MATLAB Tools for HDG in Three Dimensions

Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow

Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow

Augmented mixed finite element methods for a vorticity-based velocity-pressure-stress formulation of the Stokes problem in 2D

A dual-mixed finite element method for nonlinear incompressible elasticity with mixed boundary conditions

On the a priori and a posteriori error analysis of a two-fold saddle-point approach for nonlinear incompressible elasticity

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

Luis Gatica

Gabriel Gatica

Ricardo Oyarzúa