Gabriel N. Gatica

75 papers Journal 75

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A new Banach spaces-based mixed finite element method for the coupled Navier-Stokes and Darcy equations. J. Comput. Appl. Math. Isaac Bermúdez, Gabriel N. Gatica, Juan P. Silva
2026	J	`jnl`	Mixed-primal and fully-mixed formulations for the convection-diffusion-reaction system based upon Brinkman-Forchheimer equations. Comput. Math. Appl. Alonso J. Bustos, Sergio Caucao, Gabriel N. Gatica
2025	J	`jnl`	A posteriori error analysis of mixed finite element methods for a regularized μ(I)-rheology model of granular materials. J. Comput. Phys. Sergio Caucao, Gabriel N. Gatica, Saulo R. Medrado, Yuri D. Sobral
2025	J	`jnl`	New Fully Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Nonlinear Transport Equations. J. Sci. Comput. Alonso J. Bustos, Sergio Caucao, Gabriel N. Gatica, Benjamín N. Venegas
2025	J	`jnl`	Nonlinear twofold saddle point-based mixed finite element methods for a regularized μ(I)-rheology model of granular materials. J. Comput. Phys. Sergio Caucao, Gabriel N. Gatica, Saulo R. Medrado, Yuri D. Sobral
2025	J	`jnl`	Primal-mixed finite element methods for the coupled Biot and Poisson-Nernst-Planck equations. Comput. Math. Appl. Gabriel N. Gatica, Cristian Inzunza, Ricardo Ruiz-Baier
2024	J	`jnl`	A Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq equations. J. Comput. Appl. Math. Gabriel N. Gatica, Zeinab Gharibi
2024	J	`jnl`	A note on the generalized Babuška-Brezzi theory: Revisiting the proof of the associated Strang error estimates. Appl. Math. Lett. Gabriel N. Gatica
2024	J	`jnl`	A three-field mixed finite element method for the convective Brinkman-Forchheimer problem with varying porosity. J. Comput. Appl. Math. Sergio Caucao, Gabriel N. Gatica, Juan P. Ortega
2023	J	`jnl`	A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem. Comput. Math. Appl. Sergio Caucao, Eligio Colmenares, Gabriel N. Gatica, Cristian Inzunza
2023	J	`jnl`	Mixed-Primal Methods for Natural Convection Driven Phase Change with Navier-Stokes-Brinkman Equations. J. Sci. Comput. Gabriel N. Gatica, Nicolás Núñez, Ricardo Ruiz-Baier
2023	J	`jnl`	New Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Double-Diffusion Equations. J. Sci. Comput. Sergio Carrasco, Sergio Caucao, Gabriel N. Gatica
2023	J	`jnl`	New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces. J. Num. Math. Gabriel N. Gatica, Nicolás Núñez, Ricardo Ruiz-Baier
2022	J	`jnl`	A Pseudostress-Based Mixed-Primal Finite Element Method for Stress-Assisted Diffusion Problems in Banach Spaces. J. Sci. Comput. Gabriel N. Gatica, Cristian Inzunza, Filánder A. Sequeira
2022	J	`jnl`	A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models. J. Num. Math. Gabriel N. Gatica, Cristian Inzunza, Ricardo Ruiz-Baier, Felipe Sandoval
2022	J	`jnl`	A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems. J. Comput. Appl. Math. Gabriel N. Gatica, Bryan Gomez-Vargas, Ricardo Ruiz-Baier
2022	J	`jnl`	Numerical Analysis & No Regrets. Special Issue Dedicated to the Memory of Francisco Javier Sayas (1968-2019). Comput. Methods Appl. Math. Gabriel N. Gatica, Norbert Heuer, Salim Meddahi
2022	J	`jnl`	On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces. Comput. Math. Appl. Claudio I. Correa, Gabriel N. Gatica
2021	J	`jnl`	Adaptive Mesh Refinement in Deformable Image Registration: A Posteriori Error Estimates for Primal and Mixed Formulations. SIAM J. Imaging Sci. Nicolás A. Barnafi, Gabriel N. Gatica, Daniel E. Hurtado, Willian Miranda, Ricardo Ruiz-Baier
2021	J	`jnl`	Analysis of an augmented fully-mixed finite element method for a bioconvective flows model. J. Comput. Appl. Math. Eligio Colmenares, Gabriel N. Gatica, Willian Miranda
2021	J	`jnl`	Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds. Comput. Math. Appl. Gabriel N. Gatica, Ricardo Oyarzúa, Ricardo Ruiz-Baier, Yuri D. Sobral
2021	J	`jnl`	On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations. Comput. Math. Appl. Gabriel N. Gatica, Cristian Inzunza
2020	J	`jnl`	A Fully-Mixed Finite Element Method for the n-Dimensional Boussinesq Problem with Temperature-Dependent Parameters. Comput. Methods Appl. Math. Javier A. Almonacid, Gabriel N. Gatica
2020	J	`jnl`	A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman-Forchheimer Equations. J. Sci. Comput. Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa, Nestor Sánchez
2020	J	`jnl`	A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem. Comput. Math. Appl. Gabriel N. Gatica, Ricardo Oyarzúa, Nathalie Valenzuela
2020	J	`jnl`	A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity. CoRR Gabriel N. Gatica, Antonio Márquez, Salim Meddahi
2020	J	`jnl`	A new mixed finite element method for the Networks Heterog. Media Javier A. Almonacid, Gabriel N. Gatica, Ricardo Oyarzúa, Ricardo Ruiz-Baier
2020	J	`jnl`	Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. J. Num. Math. Gabriel N. Gatica, Salim Meddahi
2019	J	`jnl`	A Posteriori Error Analysis of a Mixed-Primal Finite Element Method for the Boussinesq Problem with Temperature-Dependent Viscosity. J. Sci. Comput. Javier A. Almonacid, Gabriel N. Gatica, Ricardo Oyarzúa
2019	J	`jnl`	A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model. Comput. Math. Appl. Eligio Colmenares, Gabriel N. Gatica, Ricardo Oyarzúa
2019	J	`jnl`	Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems. Comput. Math. Appl. Gabriel N. Gatica, Bryan Gomez-Vargas, Ricardo Ruiz-Baier
2019	J	`jnl`	New Mixed Finite Element Methods for Natural Convection with Phase-Change in Porous Media. J. Sci. Comput. Mario Álvarez, Gabriel N. Gatica, Bryan Gomez-Vargas, Ricardo Ruiz-Baier
2019	J	`jnl`	On the Coupling of VEM and BEM in Two and Three Dimensions. SIAM J. Numer. Anal. Gabriel N. Gatica, Salim Meddahi
2018	J	`jnl`	A Mixed Virtual Element Method for Quasi-Newtonian Stokes Flows. SIAM J. Numer. Anal. Ernesto Cáceres, Gabriel N. Gatica, Filánder A. Sequeira
2018	J	`jnl`	A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems. J. Comput. Phys. Mario Álvarez, Gabriel N. Gatica, Ricardo Ruiz-Baier
2018	J	`jnl`	Primal and Mixed Finite Element Methods for Deformable Image Registration Problems. SIAM J. Imaging Sci. Nicolás A. Barnafi, Gabriel N. Gatica, Daniel E. Hurtado
2017	J	`jnl`	A New Mixed Finite Element Method for Elastodynamics with Weak Symmetry. J. Sci. Comput. Carlos García, Gabriel N. Gatica, Salim Meddahi
2017	J	`jnl`	A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. J. Num. Math. Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa, Ivana Sebestová
2016	J	`jnl`	A Priori and a Posteriori Error Analyses of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows. J. Sci. Comput. Gabriel N. Gatica, Filánder A. Sequeira
2016	J	`jnl`	A mixed finite element method for Darcy's equations with pressure dependent porosity. Math. Comput. Gabriel N. Gatica, Ricardo Ruiz-Baier, Giordano Tierra
2016	J	`jnl`	A new mixed finite element analysis of the elastodynamic equations. Appl. Math. Lett. Carlos García, Gabriel N. Gatica, Salim Meddahi
2016	J	`jnl`	A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity. Comput. Math. Appl. Gabriel N. Gatica, Ricardo Ruiz-Baier, Giordano Tierra
2016	J	`jnl`	A primal-mixed formulation for the strong coupling of quasi-Newtonian fluids with porous media. Adv. Comput. Math. Sebastián Domínguez, Gabriel N. Gatica, Antonio Márquez, Salim Meddahi
2016	J	`jnl`	A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity. Comput. Math. Appl. Gabriel N. Gatica, Luis F. Gatica, Filánder A. Sequeira
2016	J	`jnl`	A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions. J. Comput. Appl. Math. Carolina Domínguez, Gabriel N. Gatica, Antonio Márquez
2016	J	`jnl`	An Augmented Mixed Finite Element Method for the Navier-Stokes Equations with Variable Viscosity. SIAM J. Numer. Anal. Jessika Camaño, Gabriel N. Gatica, Ricardo Oyarzúa, Giordano Tierra
2015	J	`jnl`	A approximation for linear elasticity yielding a broken convergent postprocessed stress. Appl. Math. Lett. Gabriel N. Gatica, Luis F. Gatica, Filánder A. Sequeira
2015	J	`jnl`	Analysis of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows. J. Sci. Comput. Gabriel N. Gatica, Filánder A. Sequeira
2014	J	`jnl`	Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow. Numerische Mathematik Gabriel N. Gatica, Luis F. Gatica, Antonio Márquez
2012	J	`jnl`	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. Gabriel N. Gatica, Antonio Márquez, Salim Meddahi
2012	J	`jnl`	Relaxing the hypotheses of Bielak-MacCamy's BEM-FEM coupling. Numerische Mathematik Gabriel N. Gatica, George C. Hsiao, Francisco-Javier Sayas
2011	J	`jnl`	Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem. Math. Comput. Gabriel N. Gatica, Ricardo Oyarzúa, Francisco-Javier Sayas
2010	J	`jnl`	A Coupled Mixed Finite Element Method for the Interaction Problem between an Electromagnetic Field and an Elastic Body. SIAM J. Numer. Anal. Gabriel N. Gatica, George C. Hsiao, Salim Meddahi
2010	J	`jnl`	A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem. SIAM J. Numer. Anal. Ivo Babuska, Gabriel N. Gatica
2010	J	`jnl`	A direct coupling of local discontinuous Galerkin and boundary element methods. Math. Comput. Gabriel N. Gatica, Norbert Heuer, Francisco-Javier Sayas
2009	J	`jnl`	A new coupling of mixed finite element and boundary element methods for an exterior Helmholtz problem in the plane. Adv. Comput. Math. Gabriel N. Gatica, Antonio Márquez, Salim Meddahi
2009	J	`jnl`	A residual-based a posteriori error estimator for a two-dimensional fluid-solid interaction problem. Numerische Mathematik Gabriel N. Gatica, George C. Hsiao, Salim Meddahi
2009	J	`jnl`	An augmented mixed finite element method for 3D linear elasticity problems. J. Comput. Appl. Math. Gabriel N. Gatica, Antonio Márquez, Salim Meddahi
2008	J	`jnl`	Augmented Mixed Finite Element Methods for the Stationary Stokes Equations. SIAM J. Sci. Comput. Leonardo E. Figueroa, Gabriel N. Gatica, Antonio Márquez
2008	J	`jnl`	Characterizing the inf-sup condition on product spaces. Numerische Mathematik Gabriel N. Gatica, Francisco-Javier Sayas
2007	J	`jnl`	Analysis of the Coupling of Primal and Dual-Mixed Finite Element Methods for a Two-Dimensional Fluid-Solid Interaction Problem. SIAM J. Numer. Anal. Gabriel N. Gatica, Antonio Márquez, Salim Meddahi
2006	J	`jnl`	A wavelet-based stabilization of the mixed finite element method with Lagrange multipliers. Appl. Math. Lett. Tomás P. Barrios, Gabriel N. Gatica, Freddy Paiva
2006	J	`jnl`	An a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods. Math. Comput. Gabriel N. Gatica, Francisco-Javier Sayas
2005	J	`jnl`	An J. Sci. Comput. Rommel Bustinza, Gabriel N. Gatica, Bernardo Cockburn
2005	J	`jnl`	On the coupling of MIXED-FEM and BEM for an exterior Helmholtz problem in the plane. Numerische Mathematik Gabriel N. Gatica, Salim Meddahi
2004	J	`jnl`	A Local Discontinuous Galerkin Method for Nonlinear Diffusion Problems with Mixed Boundary Conditions. SIAM J. Sci. Comput. Rommel Bustinza, Gabriel N. Gatica
2004	J	`jnl`	A mixed finite element method with Lagrange multipliers for nonlinear exterior transmission problems. Numerische Mathematik Rommel Bustinza, Galina C. García, Gabriel N. Gatica
2003	J	`jnl`	Least Squares Methods for the Coupling of FEM and BEM. SIAM J. Numer. Anal. Gabriel N. Gatica, Helmut Harbrecht, Reinhold Schneider
2002	J	`jnl`	A Preconditioned MINRES Method for the Coupling of Mixed-FEM and BEM for Some Nonlinear Problems. SIAM J. Sci. Comput. Gabriel N. Gatica, Norbert Heuer
2002	J	`jnl`	A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a-posteriori error estimate. Numerische Mathematik Mauricio A. Barrientos, Gabriel N. Gatica, Ernst P. Stephan
2002	J	`jnl`	Conjugate gradient method for dual-dual mixed formulations. Math. Comput. Gabriel N. Gatica, Norbert Heuer
2001	J	`jnl`	A dual-dual mixed formulation for nonlinear exterior transmission problems. Math. Comput. Gabriel N. Gatica, Salim Meddahi
2001	J	`jnl`	A primal mixed formulation for exterior transmission problems in ℝ Numerische Mathematik Gabriel R. Barrenechea, Gabriel N. Gatica
2001	J	`jnl`	Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems. Numer. Linear Algebra Appl. Gabriel N. Gatica, Norbert Heuer
2000	J	`jnl`	A Dual-Dual Formulation for the Coupling of Mixed-FEM and BEM in Hyperelasticity. SIAM J. Numer. Anal. Gabriel N. Gatica, Norbert Heuer