Preprints of Gabriel N. GATICA
The following is the list of preprints developed by the indicated author of the Center for Research in Mathematical Engineering (CI²MA), ordered by year of occurrence, since 2009, date of creation of this center. When you click on the name of a certain author, all his/her preprints available in this database are displayed.
| Number | Authors and Title |
|---|---|
| 2024-25 | Sergio CARRASCO, Sergio CAUCAO, Gabriel N. GATICA: A twofold perturbed saddle point-based fully mixed finite element method for the coupled Brinkman Forchheimer Darcy problem. |
| 2024-18 | Sergio CAUCAO, Gabriel N. GATICA, Luis F. GATICA: A posteriori error analysis of a mixed finite element method for the stationary convective Brinkman--Forchheimer problem. |
| 2024-16 | Mario ÁLVAREZ, Gonzalo A. BENAVIDES, Gabriel N. GATICA, Esteban HENRIQUEZ, Ricardo RUIZ-BAIER: Banach spaces-based mixed finite element methods for a steady sedimentation-consolidation system. |
| 2024-14 | Gabriel N. GATICA, Cristian INZUNZA, Ricardo RUIZ-BAIER: Primal-mixed finite element methods for the coupled Biot and Poisson-Nernst-Planck equations. |
| 2024-12 | Gabriel N. GATICA: A note on the generalized Babuska-Brezzi theory: revisiting the proof of the associated Strang error estimates. |
| 2024-02 | Julio CAREAGA, Gabriel N. GATICA, Cristian INZUNZA, Ricardo RUIZ-BAIER: New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations. |
| 2024-01 | Sergio CAUCAO, Gabriel N. GATICA, Saulo MEDRADO, Yuri D. SOBRAL: Nonlinear twofold saddle point-based mixed finite element methods for a regularized $mu(I)$-rheology model of granular materials. |
| 2023-26 | Sergio CAUCAO, Gabriel N. GATICA, Juan P. ORTEGA: A three-field mixed finite element method for the convective Brinkman--Forchheimer problem with varying porosity. |
| 2023-19 | Isaac BERMUDEZ, Claudio I. CORREA, Gabriel N. GATICA, Juan P. SILVA: A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity. |
| 2023-17 | Gabriel N. GATICA, Zeinab GHARIBI: A Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq equations. |
| 2023-16 | Sergio CARRASCO, Sergio CAUCAO, Gabriel N. GATICA: New mixed finite element methods for the coupled convective Brinkman-Forchheimer and double-diffusion equations. |
| 2023-13 | Gabriel N. GATICA, Cristian INZUNZA, Filander A. SEQUEIRA: New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems. |
| 2023-10 | Sergio CAUCAO, Gabriel N. GATICA, Luis F. GATICA: A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem. |
| 2023-01 | Julio CAREAGA, Gabriel N. GATICA: Coupled mixed finite element and finite volume methods for a solid velocity-based model of multidimensional settling. |
| 2022-35 | Claudio I. CORREA, Gabriel N. GATICA, Esteban HENRIQUEZ, Ricardo RUIZ-BAIER, Manuel SOLANO: Banach spaces-based mixed finite element methods for the coupled Navier--Stokes and Poisson--Nernst--Planck equations. |
| 2022-30 | Gabriel N. GATICA, Nicolas NUñEZ, Ricardo RUIZ-BAIER: Mixed-primal methods for natural convection driven phase change with Navier-Stokes-Brinkman equations. |
| 2022-26 | Claudio I. CORREA, Gabriel N. GATICA, Ricardo RUIZ-BAIER: New mixed finite element methods for the coupled Stokes and Poisson-Nernst-Planck equations in Banach spaces. |
| 2022-16 | 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. |
| 2022-14 | Gabriel N. GATICA, Nicolas NUñEZ, Ricardo RUIZ-BAIER: New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces. |
| 2022-12 | Sergio CAUCAO, Gabriel N. GATICA, Juan P. ORTEGA: A posteriori error analysis of a Banach spaces-based fully mixed FEM for double-diffusive convection in a fluid-saturated porous medium. |
| 2022-11 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZúA, Paulo ZUñIGA: A posteriori error analysis of a mixed finite element method for the coupled Brinkman--Forchheimer and double-diffusion equations. |
| 2022-10 | Eligio COLMENARES, Gabriel N. GATICA, Juan Carlos ROJAS: A Banach spaces-based mixed-primal finite element method for the coupling of Brinkman flow and nonlinear transport. |
| 2022-02 | Gabriel N. GATICA, Cristian INZUNZA, Filander A. SEQUEIRA: A pseudostress-based mixed-primal finite element method for stress-assisted diffusion problems in Banach spaces. |
| 2021-30 | Claudio I. CORREA, Gabriel N. GATICA: On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces. |
| 2021-20 | 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. |
| 2021-16 | Sergio CAUCAO, Gabriel N. GATICA, Juan P. ORTEGA: A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman-Forchheimer and double-diffusion equations. |
| 2021-12 | Gabriel N. GATICA, Cristian INZUNZA: On the well-posedness of Banach spaces-based mixed formulations for nearly incompressible elasticity and Stokes models. |
| 2021-11 | Gabriel N. GATICA, Filander A. SEQUEIRA: An Lp spaces-based mixed virtual element method for the two-dimensional Navier-Stokes equations. |
| 2021-07 | Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: A virtual marriage a la mode: some recent results on the coupling of VEM and BEM. |
| 2021-04 | Gabriel N. GATICA, Salim MEDDAHI, Ricardo RUIZ-BAIER: An Lp spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations. |
| 2020-23 | 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. |
| 2020-21 | Gonzalo A. BENAVIDES, Sergio CAUCAO, Gabriel N. GATICA, Alejandro A. HOPPER: A new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem. |
| 2020-20 | Nicolas BARNAFI, Gabriel N. GATICA, Daniel E. HURTADO, Willian MIRANDA, Ricardo RUIZ-BAIER: New primal and dual-mixed finite element methods for stable image registration with singular regularization. |
| 2020-19 | Gabriel N. GATICA, George C. HSIAO, Salim MEDDAHI: Further developments on boundary-field equation methods for nonlinear transmission problems. |
| 2020-11 | Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity. |
| 2020-01 | 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. |
| 2019-43 | Gabriel N. GATICA, Bryan GOMEZ-VARGAS, Ricardo RUIZ-BAIER: A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems. |
| 2019-42 | Gonzalo A. BENAVIDES, Sergio CAUCAO, Gabriel N. GATICA, Alejandro A. HOPPER: A new mixed-primal finite element method for a coupled flow-transport problem. |
| 2019-38 | Eligio COLMENARES, Gabriel N. GATICA, Willian MIRANDA: Analysis of an augmented fully-mixed finite element method for a bioconvective flows model. |
| 2019-37 | Eligio COLMENARES, Gabriel N. GATICA, Sebastian MORAGA, Ricardo RUIZ-BAIER: A fully-mixed finite element method for the steady state Oberbeck-Boussinesq system. |
| 2019-34 | Gabriel N. GATICA, Ricardo OYARZúA, Nathalie VALENZUELA: A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem. |
| 2019-33 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZúA, Felipe SANDOVAL: Residual-based a posteriori error analysis for the coupling of the Navier-Stokes and Darcy-Forchheimer equations. |
| 2019-32 | Gabriel N. GATICA, Mauricio MUNAR, Filander A. SEQUEIRA: A mixed virtual element method for the Boussinesq problem on polygonal meshes. |
| 2019-22 | Gabriel N. GATICA, Salim MEDDAHI: Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. |
| 2019-13 | Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport. |
| 2019-12 | Javier A. ALMONACID, Gabriel N. GATICA, Ricardo RUIZ-BAIER: Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics. |
| 2019-04 | Eligio COLMENARES, Gabriel N. GATICA, Sebastian MORAGA: A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem. |
| 2018-50 | Nicolas BARNAFI, Gabriel N. GATICA, Daniel E. HURTADO, Willian MIRANDA, Ricardo RUIZ-BAIER: A posteriori error estimates for primal and mixed finite element approximations of the deformable image registration problem. |
| 2018-49 | Sergio CAUCAO, Gabriel N. GATICA, Felipe SANDOVAL: A fully-mixed finite element method for the coupling of the Navier-Stokes and Darcy-Forchheimer equations. |
| 2018-48 | Gabriel N. GATICA, Cristian INZUNZA: An augmented fully-mixed finite element method for a coupled flow-transport problem. |
| 2018-44 | 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. |
| 2018-34 | Javier A. ALMONACID, Gabriel N. GATICA: A fully-mixed finite element method for the n-dimensional Boussinesq problem with temperature-dependent parameters. |
| 2018-33 | Gabriel N. GATICA, Salim MEDDAHI: On the coupling of VEM and BEM in two and three dimensions. |
| 2018-29 | Javier A. ALMONACID, Hugo S. DíAZ, Gabriel N. GATICA, Antonio MARQUEZ: A fully-mixed finite element method for the coupling of the Stokes and Darcy-Forchheimer problems. |
| 2018-18 | 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. |
| 2018-08 | Gabriel N. GATICA, Bryan GOMEZ-VARGAS, Ricardo RUIZ-BAIER: Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems. |
| 2018-07 | 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-dependant viscosity. |
| 2018-05 | Ernesto CáCERES, Gabriel N. GATICA, Filander A. SEQUEIRA: A mixed virtual element method for a pseudostress-based formulation of linear elasticity. |
| 2017-32 | Gabriel N. GATICA, Mauricio MUNAR, Filander A. SEQUEIRA: A mixed virtual element method for a nonlinear Brinkman model of porous media flow. |
| 2017-29 | Sergio CAUCAO, Marco DISCACCIATI, Gabriel N. GATICA, Ricardo OYARZúA: A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem. |
| 2017-25 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZúA: A posteriori error analysis of an augmented fully-mixed formulation for the non-isothermal Oldroyd-Stokes problem. |
| 2017-24 | Nicolas BARNAFI, Gabriel N. GATICA, Daniel E. HURTADO: Primal and mixed finite element methods for deformable image registration problems. |
| 2017-23 | Gabriel N. GATICA, Mauricio MUNAR, Filander A. SEQUEIRA: A mixed virtual element method for the Navier-Stokes equations. |
| 2017-21 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZúA: Analysis of an augmented fully-mixed formulation for the non-isothermal Oldroyd-Stokes problem. |
| 2017-20 | Gabriel N. GATICA, Bryan GOMEZ-VARGAS, Ricardo RUIZ-BAIER: Mixed-primal finite element methods for stress-assisted diffusion problems. |
| 2017-18 | Javier A. ALMONACID, Gabriel N. GATICA, Ricardo OYARZúA: A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity. |
| 2017-17 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZúA: A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model. |
| 2017-16 | Gabriel N. GATICA: A note on weak* convergence and compactness and their connection to the existence of the inverse-adjoint. |
| 2017-14 | Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A posteriori error analysis of a fully-mixed formulation for the Brinkman-Darcy problem. |
| 2017-05 | Ernesto CáCERES, Gabriel N. GATICA, Filander A. SEQUEIRA: A mixed virtual element method for quasi-Newtonian Stokes flows. |
| 2017-03 | Carlos GARCIA, Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: A fully discrete scheme for the pressure-stress formulation of the time-domain fluid-structure interaction problem. |
| 2016-37 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZúA: A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model. |
| 2016-30 | Ernesto CáCERES, Gabriel N. GATICA, Filander A. SEQUEIRA: A mixed virtual element method for the Brinkman problem. |
| 2016-26 | Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A posteriori error analysis for a sedimentation-consolidation system. |
| 2016-24 | Jessika CAMAñO, Gabriel N. GATICA, Ricardo OYARZúA, Ricardo RUIZ-BAIER: An augmented stress-based mixed finite element method for the Navier-Stokes equations with nonlinear viscosity. |
| 2016-23 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZúA: A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. |
| 2016-18 | Carlos GARCIA, Gabriel N. GATICA, Salim MEDDAHI: Finite element analysis of a pressure-stress formulation for the time-domain fluid-structure interaction problem. |
| 2016-11 | 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. |
| 2016-03 | Gabriel N. GATICA: A note on stable Helmholtz decompositions in 3D. |
| 2015-39 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZúA, Ivana SEBESTOVA: A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. |
| 2015-38 | Carlos GARCIA, Gabriel N. GATICA, Salim MEDDAHI: A new mixed finite element method for elastodynamics with weak symmetry. |
| 2015-33 | Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A posteriori error analysis for a viscous flow-transport problem. |
| 2015-32 | Gabriel N. GATICA, Filander A. SEQUEIRA: A priori and a posteriori error analyses of an augmented HDG method for a class of quasi-Newtonian Stokes flows. |
| 2015-30 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZúA: An augmented fully-mixed finite element method for the stationary Boussinesq problem. |
| 2015-23 | Gabriel N. GATICA, Filander A. SEQUEIRA: Analysis of the HDG method for the Stokes-Darcy coupling. |
| 2015-14 | Gabriel N. GATICA, Luis F. GATICA, Filander A. SEQUEIRA: A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity. |
| 2015-10 | Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A mixed-primal finite element approximation of a steady sedimentation-consolidation system. |
| 2015-09 | Jessika CAMAñO, Gabriel N. GATICA, Ricardo OYARZúA, Giordano TIERRA: An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity. |
| 2015-07 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZúA: Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. |
| 2015-05 | Ernesto CáCERES, Gabriel N. GATICA: A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. |
| 2015-01 | Sebastian DOMINGUEZ, Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: A primal-mixed formulation for the strong coupling of quasi-Newtonian fluids with porous media. |
| 2014-34 | Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: Analysis of a vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem. |
| 2014-32 | Gabriel N. GATICA, Luis F. GATICA, Filander A. SEQUEIRA: Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow. |
| 2014-24 | Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: An augmented mixed-primal finite element method for a coupled flow-transport problem. |
| 2014-23 | Gabriel N. GATICA, Filander A. SEQUEIRA: Analysis of an augmented HDG method for a class of quasi-Newtonian Stokes flows. |
| 2014-18 | Jessika CAMAñO, Gabriel N. GATICA, Ricardo OYARZúA, Ricardo RUIZ-BAIER, Pablo VENEGAS: New fully-mixed finite element methods for the Stokes-Darcy coupling. |
| 2014-11 | Veronica ANAYA, Gabriel N. GATICA, David MORA, Ricardo RUIZ-BAIER: An augmented velocity-vorticity-pressure formulation for the Brinkman problem. |
| 2014-07 | Gabriel N. GATICA, George C. HSIAO, Salim MEDDAHI, Francisco J. SAYAS: New developments on the coupling of mixed-FEM and BEM for the three-dimensional exterior Stokes problem. |
| 2014-06 | Gabriel N. GATICA, Ricardo RUIZ-BAIER, Giordano TIERRA: A mixed finite element method for Darcy s equations with pressure dependent porosity. |
| 2014-04 | Carolina DOMINGUEZ, Gabriel N. GATICA, Antonio MARQUEZ: A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions. |
| 2014-02 | Carolina DOMINGUEZ, Gabriel N. GATICA, Salim MEDDAHI: A posteriori error analysis of a fully-mixed finite element method for a two-dimensional fluid-solid interaction problem. |
| 2013-19 | Gabriel N. GATICA, Antonio MARQUEZ, Ricardo OYARZúA, Ramiro REBOLLEDO: Analysis of an augmented fully-mixed approach for the coupling of quasi-Newtonian fluids and porous media. |
| 2012-17 | Gabriel N. GATICA, Antonio MARQUEZ, Walter RUDOLPH: A priori and a posteriori error analyses of augmented twofold saddle point formulations for nonlinear elasticity problems. |
| 2012-07 | Ana I. GARRALDA GUILLEM, Gabriel N. GATICA, Antonio MARQUEZ, Manuel RUIZ GALAN: A posteriori error analysis of twofold saddle point variational formulations for nonlinear boundary value problems. |
| 2012-02 | Gabriel N. GATICA, Luis F. GATICA, Antonio MARQUEZ: Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow. |
| 2012-01 | Gabriel N. GATICA, George C. HSIAO, Salim MEDDAHI, Francisco J. SAYAS: On the dual-mixed formulation for an exterior Stokes problem. |
| 2011-25 | Carolina DOMINGUEZ, Gabriel N. GATICA, Salim MEDDAHI, Ricardo OYARZúA: A priori error analysis of a fully-mixed finite element method for a two-dimensional fluid-solid interaction problem. |
| 2011-24 | Gabriel N. GATICA, Norbert HEUER, Salim MEDDAHI: Coupling of mixed finite element and stabilized boundary element methods for a fluid-solid interaction problem in 3D. |
| 2011-23 | Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: Analysis of an augmented fully-mixed finite element method for a three-dimensional fluid-solid interaction problem. |
| 2011-16 | Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: Analysis of the coupling of Lagrange and Arnold-Falk-Winther finite elements for a fluid-solid interaction problem in 3D. |
| 2011-03 | Gabriel N. GATICA, Antonio MARQUEZ, Manuel A. SANCHEZ: Pseudostress-based mixed finite element methods for the Stokes problem in $R^n$ with Dirichlet boundary conditions. I: A priori error analysis. |
| 2010-20 | Gabriel N. GATICA, Antonio MARQUEZ, Manuel A. SANCHEZ: A priori and a posteriori error analyses of a velocity-pseudostress formulation for a class of quasi-Newtonian Stokes flows. |
| 2010-19 | Gabriel N. GATICA, Ricardo OYARZúA, Francisco J. SAYAS: A twofold saddle point approach for the coupling of fluid flow with nonlinear porous media flow. |
| 2010-12 | Gabriel N. GATICA, Ricardo OYARZúA, Francisco J. SAYAS: A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem. |
| 2009-22 | Gabriel N. GATICA, Salim MEDDAHI: Finite element analysis of a time harmonic Maxwell problem with an impedance boundary condition. |
| 2009-16 | Gabriel N. GATICA, George C. HSIAO, Francisco J. SAYAS: Relaxing the hypotheses of the Bielak-MacCamy BEM-FEM coupling. |
| 2009-14 | Gabriel N. GATICA, Antonio MARQUEZ, Manuel A. SANCHEZ: Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations. |
| 2009-08 | Gabriel N. GATICA, Ricardo OYARZúA, Francisco J. SAYAS: Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem. |
| 2009-03 | Gabriel N. GATICA, George C. HSIAO, Salim MEDDAHI: A coupled mixed finite element method for the interaction problem between electromagnetic field and elastic body. |
| 2009-02 | Gabriel N. GATICA, Luis F. GATICA, Antonio MARQUEZ: Augmented mixed finite element methods for a curl-based formulation of the two-dimensional Stokes problem. |