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ORCIDGabriel N. Gatica
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- affiliation: University of Concepción, Chile
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Journal Articles
- 2023
[j65]Sergio Caucao
, Eligio Colmenares, Gabriel N. Gatica, Cristian Inzunza:
A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem. Comput. Math. Appl. 145: 65-89 (2023)- [j64]Gabriel N. Gatica, Nicolás Núñez, Ricardo Ruiz-Baier:
New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces. J. Num. Math. 31(4): 343- (2023) - [j63]Gabriel N. Gatica, Nicolás Núñez, Ricardo Ruiz-Baier:
Mixed-Primal Methods for Natural Convection Driven Phase Change with Navier-Stokes-Brinkman Equations. J. Sci. Comput. 95(3): 79 (2023) - [j62]Sergio Carrasco, Sergio Caucao, Gabriel N. Gatica:
New Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Double-Diffusion Equations. J. Sci. Comput. 97(3) (2023) - 2022
- [j61]Claudio I. Correa, Gabriel N. Gatica:
On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces. Comput. Math. Appl. 117: 14-23 (2022) - [j60]Gabriel N. Gatica, Norbert Heuer, Salim Meddahi:
Numerical Analysis & No Regrets. Special Issue Dedicated to the Memory of Francisco Javier Sayas (1968-2019). Comput. Methods Appl. Math. 22(4): 751-755 (2022) - [j59]Gabriel N. Gatica, Bryan Gomez-Vargas, Ricardo Ruiz-Baier:
A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems. J. Comput. Appl. Math. 409: 114144 (2022) - [j58]Gabriel N. Gatica, Cristian Inzunza, Ricardo Ruiz-Baier, Felipe Sandoval:
A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models. J. Num. Math. 30(4): 325-356 (2022) - [j57]Gabriel N. Gatica, Cristian Inzunza, Filánder A. Sequeira:
A Pseudostress-Based Mixed-Primal Finite Element Method for Stress-Assisted Diffusion Problems in Banach Spaces. J. Sci. Comput. 92(3): 103 (2022) - 2021
- [j56]Gabriel N. Gatica, Ricardo Oyarzúa, Ricardo Ruiz-Baier, Yuri D. Sobral:
Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds. Comput. Math. Appl. 84: 244-276 (2021) - [j55]Gabriel N. Gatica, Cristian Inzunza:
On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations. Comput. Math. Appl. 102: 87-94 (2021) - [j54]Eligio Colmenares, Gabriel N. Gatica, Willian Miranda:
Analysis of an augmented fully-mixed finite element method for a bioconvective flows model. J. Comput. Appl. Math. 393: 113504 (2021) - [j53]Nicolas A. Barnafi, Gabriel N. Gatica, Daniel E. Hurtado, Willian Miranda, Ricardo Ruiz-Baier:
Adaptive Mesh Refinement in Deformable Image Registration: A Posteriori Error Estimates for Primal and Mixed Formulations. SIAM J. Imaging Sci. 14(3): 1238-1272 (2021) - 2020
- [j52]Gabriel N. Gatica, Ricardo Oyarzúa, Nathalie Valenzuela:
A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem. Comput. Math. Appl. 80(8): 1944-1963 (2020) - [j51]Javier A. Almonacid, Gabriel N. Gatica:
A Fully-Mixed Finite Element Method for the n-Dimensional Boussinesq Problem with Temperature-Dependent Parameters. Comput. Methods Appl. Math. 20(2): 187-213 (2020) - [j50]Gabriel N. Gatica, Salim Meddahi:
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. J. Num. Math. 28(4): 223-245 (2020) - [j49]Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa, Nestor Sánchez:
A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman-Forchheimer Equations. J. Sci. Comput. 85(2): 44 (2020) - [j48]Javier A. Almonacid, Gabriel N. Gatica, Ricardo Oyarzúa, Ricardo Ruiz-Baier:
A new mixed finite element method for the n-dimensional Boussinesq problem with temperature-dependent viscosity. Networks Heterog. Media 15(2): 215-245 (2020) - 2019
- [j47]Eligio Colmenares, Gabriel N. Gatica, Ricardo Oyarzúa:
A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model. Comput. Math. Appl. 77(3): 693-714 (2019) - [j46]Gabriel N. Gatica, Bryan Gomez-Vargas, Ricardo Ruiz-Baier:
Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems. Comput. Math. Appl. 77(5): 1312-1330 (2019) - [j45]Javier A. Almonacid, Gabriel N. Gatica, Ricardo Oyarzúa:
A Posteriori Error Analysis of a Mixed-Primal Finite Element Method for the Boussinesq Problem with Temperature-Dependent Viscosity. J. Sci. Comput. 78(2): 887-917 (2019) - [j44]Mario Álvarez, Gabriel N. Gatica, Bryan Gomez-Vargas, Ricardo Ruiz-Baier:
New Mixed Finite Element Methods for Natural Convection with Phase-Change in Porous Media. J. Sci. Comput. 80(1): 141-174 (2019) - [j43]Gabriel N. Gatica, Salim Meddahi:
On the Coupling of VEM and BEM in Two and Three Dimensions. SIAM J. Numer. Anal. 57(6): 2493-2518 (2019) - 2018
- [j42]Mario Álvarez, Gabriel N. Gatica, Ricardo Ruiz-Baier:
A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems. J. Comput. Phys. 367: 322-346 (2018) - [j41]Nicolas A. Barnafi, Gabriel N. Gatica, Daniel E. Hurtado:
Primal and Mixed Finite Element Methods for Deformable Image Registration Problems. SIAM J. Imaging Sci. 11(4): 2529-2567 (2018) - [j40]Ernesto Cáceres, Gabriel N. Gatica, Filánder A. Sequeira:
A Mixed Virtual Element Method for Quasi-Newtonian Stokes Flows. SIAM J. Numer. Anal. 56(1): 317-343 (2018) - 2017
- [j39]Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa, Ivana Sebestová:
A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. J. Num. Math. 25(2): 55 (2017) - [j38]Carlos García, Gabriel N. Gatica, Salim Meddahi:
A New Mixed Finite Element Method for Elastodynamics with Weak Symmetry. J. Sci. Comput. 72(3): 1049-1079 (2017) - 2016
- [j37]Sebastián Domínguez, Gabriel N. Gatica, Antonio Márquez, Salim Meddahi:
A primal-mixed formulation for the strong coupling of quasi-Newtonian fluids with porous media. Adv. Comput. Math. 42(3): 675-720 (2016) - [j36]Carlos García, Gabriel N. Gatica, Salim Meddahi:
A new mixed finite element analysis of the elastodynamic equations. Appl. Math. Lett. 59: 48-55 (2016) - [j35]Gabriel N. Gatica, Luis F. Gatica, Filánder A. Sequeira:
A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity. Comput. Math. Appl. 71(2): 585-614 (2016) - [j34]Gabriel N. Gatica, Ricardo Ruiz-Baier, Giordano Tierra:
A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity. Comput. Math. Appl. 72(9): 2289-2310 (2016) - [j33]Carolina Domínguez, Gabriel N. Gatica, Antonio Márquez:
A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions. J. Comput. Appl. Math. 292: 486-504 (2016) - [j32]Gabriel N. Gatica, Filánder A. Sequeira:
A Priori and a Posteriori Error Analyses of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows. J. Sci. Comput. 69(3): 1192-1250 (2016) - [j31]Gabriel N. Gatica, Ricardo Ruiz-Baier, Giordano Tierra:
A mixed finite element method for Darcy's equations with pressure dependent porosity. Math. Comput. 85(297): 1-33 (2016) - [j30]Jessika Camaño, Gabriel N. Gatica, Ricardo Oyarzúa, Giordano Tierra:
An Augmented Mixed Finite Element Method for the Navier-Stokes Equations with Variable Viscosity. SIAM J. Numer. Anal. 54(2): 1069-1092 (2016) - 2015
- [j29]Gabriel N. Gatica, Luis F. Gatica, Filánder A. Sequeira:
A approximation for linear elasticity yielding a broken convergent postprocessed stress. Appl. Math. Lett. 49: 133-140 (2015) - [j28]Gabriel N. Gatica, Filánder A. Sequeira:
Analysis of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows. J. Sci. Comput. 65(3): 1270-1308 (2015) - 2014
- [j27]Gabriel N. Gatica, Luis F. Gatica, Antonio Márquez:
Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow. Numerische Mathematik 126(4): 635-677 (2014) - 2012
- [j26]Gabriel N. Gatica, George C. Hsiao, Francisco-Javier Sayas:
Relaxing the hypotheses of Bielak-MacCamy's BEM-FEM coupling. Numerische Mathematik 120(3): 465-487 (2012) - [j25]Gabriel N. Gatica, Antonio Márquez, Salim Meddahi:
Analysis of the Coupling of Lagrange and Arnold-Falk-Winther Finite Elements for a Fluid-Solid Interaction Problem in Three Dimensions. SIAM J. Numer. Anal. 50(3): 1648-1674 (2012) - 2011
- [j24]Gabriel N. Gatica, Ricardo Oyarzúa, Francisco-Javier Sayas:
Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem. Math. Comput. 80(276): 1911-1948 (2011) - 2010
- [j23]Gabriel N. Gatica, Norbert Heuer, Francisco-Javier Sayas:
A direct coupling of local discontinuous Galerkin and boundary element methods. Math. Comput. 79(271): 1369-1394 (2010) - [j22]Ivo Babuska, Gabriel N. Gatica:
A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem. SIAM J. Numer. Anal. 48(2): 498-523 (2010) - [j21]Gabriel N. Gatica, George C. Hsiao, Salim Meddahi:
A Coupled Mixed Finite Element Method for the Interaction Problem between an Electromagnetic Field and an Elastic Body. SIAM J. Numer. Anal. 48(4): 1338-1368 (2010) - 2009
- [j20]Gabriel N. Gatica, Antonio Márquez, Salim Meddahi:
A new coupling of mixed finite element and boundary element methods for an exterior Helmholtz problem in the plane. Adv. Comput. Math. 30(3): 281-301 (2009) - [j19]Gabriel N. Gatica, Antonio Márquez, Salim Meddahi:
An augmented mixed finite element method for 3D linear elasticity problems. J. Comput. Appl. Math. 231(2): 526-540 (2009) - [j18]Gabriel N. Gatica, George C. Hsiao, Salim Meddahi:
A residual-based a posteriori error estimator for a two-dimensional fluid-solid interaction problem. Numerische Mathematik 114(1): 63-106 (2009) - 2008
- [j17]Gabriel N. Gatica, Francisco-Javier Sayas:
Characterizing the inf-sup condition on product spaces. Numerische Mathematik 109(2): 209-231 (2008) - [j16]Leonardo E. Figueroa, Gabriel N. Gatica, Antonio Márquez:
Augmented Mixed Finite Element Methods for the Stationary Stokes Equations. SIAM J. Sci. Comput. 31(2): 1082-1119 (2008) - 2007
- [j15]Gabriel N. Gatica, Antonio Márquez, Salim Meddahi:
Analysis of the Coupling of Primal and Dual-Mixed Finite Element Methods for a Two-Dimensional Fluid-Solid Interaction Problem. SIAM J. Numer. Anal. 45(5): 2072-2097 (2007) - 2006
- [j14]Tomás P. Barrios, Gabriel N. Gatica, Freddy Paiva:
A wavelet-based stabilization of the mixed finite element method with Lagrange multipliers. Appl. Math. Lett. 19(3): 244-250 (2006) - [j13]Gabriel N. Gatica, Francisco-Javier Sayas:
An a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods. Math. Comput. 75(256): 1675-1696 (2006) - 2005
- [j12]Rommel Bustinza, Gabriel N. Gatica, Bernardo Cockburn:
An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method Applied to Linear and Nonlinear Diffusion Problems. J. Sci. Comput. 22(1): 147-185 (2005) - [j11]Gabriel N. Gatica, Salim Meddahi:
On the coupling of MIXED-FEM and BEM for an exterior Helmholtz problem in the plane. Numerische Mathematik 100(4): 663-695 (2005) - 2004
- [j10]Rommel Bustinza, Galina C. García, Gabriel N. Gatica:
A mixed finite element method with Lagrange multipliers for nonlinear exterior transmission problems. Numerische Mathematik 96(3): 481-523 (2004) - [j9]Rommel Bustinza, Gabriel N. Gatica:
A Local Discontinuous Galerkin Method for Nonlinear Diffusion Problems with Mixed Boundary Conditions. SIAM J. Sci. Comput. 26(1): 152-177 (2004) - 2003
- [j8]Gabriel N. Gatica, Helmut Harbrecht, Reinhold Schneider:
Least Squares Methods for the Coupling of FEM and BEM. SIAM J. Numer. Anal. 41(5): 1974-1995 (2003) - 2002
- [j7]Gabriel N. Gatica, Norbert Heuer:
Conjugate gradient method for dual-dual mixed formulations. Math. Comput. 71(240): 1455-1472 (2002) - [j6]Mauricio A. Barrientos, Gabriel N. Gatica, Ernst P. Stephan:
A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a-posteriori error estimate. Numerische Mathematik 91(2): 197-222 (2002) - [j5]Gabriel N. Gatica, Norbert Heuer:
A Preconditioned MINRES Method for the Coupling of Mixed-FEM and BEM for Some Nonlinear Problems. SIAM J. Sci. Comput. 24(2): 572-596 (2002) - 2001
- [j4]Gabriel N. Gatica, Salim Meddahi:
A dual-dual mixed formulation for nonlinear exterior transmission problems. Math. Comput. 70(236): 1461-1480 (2001) - [j3]Gabriel N. Gatica, Norbert Heuer:
Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems. Numer. Linear Algebra Appl. 8(3): 147-164 (2001) - [j2]Gabriel R. Barrenechea, Gabriel N. Gatica:
A primal mixed formulation for exterior transmission problems in ℝ2. Numerische Mathematik 88(2): 237-253 (2001) - 2000
- [j1]Gabriel N. Gatica, Norbert Heuer:
A Dual-Dual Formulation for the Coupling of Mixed-FEM and BEM in Hyperelasticity. SIAM J. Numer. Anal. 38(2): 380-400 (2000)
Informal and Other Publications
- 2020
- [i1]Gabriel N. Gatica, Antonio Márquez, Salim Meddahi:
A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity. CoRR abs/2005.01021 (2020)
Coauthor Index
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