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Gabriel N. Gatica
Gabriel N. Gatica
Professor and Researcher, CI²MA and Departamento de Ingenieria Matematica, Universidad de Concepcion
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A simple introduction to the mixed finite element method
GN Gatica
Theory and Applications. Springer Briefs in Mathematics. Springer, London, 2014
3962014
A conforming mixed finite-element method for the coupling of fluid flow with porous media flow
GN Gatica, S Meddahi, R Oyarzúa
IMA Journal of Numerical Analysis 29 (1), 86-108, 2009
1552009
Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem
G Gatica, R Oyarzúa, FJ Sayas
Mathematics of Computation 80 (276), 1911-1948, 2011
1332011
Analysis of a new augmented mixed finite element method for linear elasticity allowing approximations
GN Gatica
ESAIM: Modélisation mathématique et analyse numérique 40 (1), 1-28, 2006
1302006
A mixed virtual element method for the pseudostress–velocity formulation of the Stokes problem
E Cáceres, GN Gatica
IMA Journal of Numerical Analysis 37 (1), 296-331, 2017
1262017
Analysis of a velocity–pressure–pseudostress formulation for the stationary Stokes equations
GN Gatica, A Márquez, MA Sánchez
Computer Methods in Applied Mechanics and Engineering 199 (17-20), 1064-1079, 2010
1252010
A residual-based a posteriori error estimator for the Stokes–Darcy coupled problem
I Babuška, GN Gatica
SIAM Journal on Numerical Analysis 48 (2), 498-523, 2010
1252010
On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in R2
GN Gatica, GC Hsiao
Numerische Mathematik 61 (1), 171-214, 1992
1081992
Boundary-field equation methods for a class of nonlinear problems
GN Gatica, GC Hsiao
CRC Press, 1995
1071995
On the mixed finite element method with Lagrange multipliers
I Babuška, GN Gatica
Numerical Methods for Partial Differential Equations: An International …, 2003
1052003
On the numerical analysis of nonlinear twofold saddle point problems
GN Gatica, N Heuer, S Meddahi
IMA Journal of Numerical Analysis 23 (2), 301-330, 2003
1022003
An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method Applied to Linear and Nonlinear Diffusion Problems
R Bustinza, GN Gatica, B Cockburn
Journal of Scientific Computing 22, 147-185, 2005
962005
A mixed virtual element method for the Brinkman problem
E Cáceres, GN Gatica, FA Sequeira
Mathematical Models and Methods in Applied Sciences 27 (04), 707-743, 2017
952017
A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes–Darcy coupled problem
GN Gatica, R Oyarzúa, FJ Sayas
Computer Methods in Applied Mechanics and Engineering 200 (21-22), 1877-1891, 2011
942011
A local discontinuous Galerkin method for nonlinear diffusion problems with mixed boundary conditions
R Bustinza, GN Gatica
SIAM Journal on Scientific Computing 26 (1), 152-177, 2004
942004
A mixed virtual element method for the Navier–Stokes equations
GN Gatica, M Munar, FA Sequeira
Mathematical Models and Methods in Applied Sciences 28 (14), 2719-2762, 2018
882018
Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems
GN Gatica, GN Gatica, WL Wendland, WL Wendland
Applicable Analysis 63 (1-2), 39-75, 1996
821996
Analysis of an augmented mixed‐primal formulation for the stationary B oussinesq problem
E Colmenares, GN Gatica, R Oyarzúa
Numerical Methods for Partial Differential Equations 32 (2), 445-478, 2016
812016
A residual based A POSTERIORI error estimator for an augmented mixed finite element methodin linear elasticity
TP Barrios, GN Gatica, M González, N Heuer
ESAIM: Mathematical Modelling and Numerical Analysis 40 (5), 843-869, 2006
802006
A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part I: a priori error analysis
GN Gatica, M González, S Meddahi
Computer Methods in Applied Mechanics and Engineering 193 (9-11), 881-892, 2004
792004
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