Investigadores

	Nombre	Gabriel N. Gatica
	Unidad Académica	Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción
	Áreas de Investigación	Áreas en Ciencias Básicas: - Análisis Numérico de Ecuaciones Diferenciales Parciales Áreas en Ciencias Aplicadas: - Métodos de Elementos Finitos en Ciencias de la Ingeniería
	Email
	Sitio Web Personal	http://www.ci2ma.udec.cl/ggatica
	Teléfono	+56 - 041 - 2661556

*La información mostrada a continuación refleja las contribuciones desarrolladas por el investigador durante su participación en el centro o en colaboración con este. Para detalles adicionales, puede consultar su Sitio Web Personal.

Publicaciones (128) +

Número	Autores, Título y Datos de la Publicación	DOI Link
2025-01	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. Journal of Computational Physics, vol. 520, Paper No. 113462, (2025).	Link
2024-21	Sergio CAUCAO, Gabriel N. GATICA, Juan P. ORTEGA: A three-field mixed finite element method for the convective Brinkman-Forchheimer problem with varying porosity. Journal of Computational and Applied Mathematics, vol. 451, Paper No. 116090, (2024).	Link
2024-20	Gabriel N. GATICA: A note on the generalized Babuska-Brezzi theory: revisiting the proof of the associated Strang error estimates. Applied Mathematics Letters, vol. 157, Paper No. 109197, (2024).	Link
2024-17	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. Calcolo, vol. 61, article: 31, (2024).	Link
2024-14	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. Applied Numerical Mathematics, vol. 201, pp. 465-487, (2024).	Link
2024-09	Gabriel N. GATICA, Zeinab GHARIBI: A Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq equations. Journal of Computational and Applied Mathematics, vol. 447, Paper No. 115885, (2024).	Link
2023-41	Gabriel N. GATICA, Nicolas NUñEZ, Ricardo RUIZ-BAIER: New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces. Journal of Numerical Mathematics, vol. 31, 4, pp. 343-373, (2023).	Link
2023-40	Sergio CARRASCO, Sergio CAUCAO, Gabriel N. GATICA: New mixed finite element methods for the coupled convective Brinkman-Forchheimer and double-diffusion equations. Journal of Scientific Computing, vol. 97, 3, article: 61, (2023).	Link
2023-39	Sergio CAUCAO, Gabriel N. GATICA, Luis F. GATICA: A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem. Calcolo, vol. 60, 4, article: 51, (2023).	Link
2023-32	Gabriel N. GATICA, Cristian INZUNZA, Filander A. SEQUEIRA: New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems. Applied Numerical Mathematics, vol. 193, pp. 148-178, (2023).	Link
2023-30	Julio CAREAGA, Gabriel N. GATICA: Coupled mixed finite element and finite volume methods for a solid velocity-based model of multidimensional settling. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 57, 4, pp. 2529-2556, (2023).	Link
2023-25	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. Computers & Mathematics with Applications, vol. 145, pp. 65-89, (2023).	Link
2023-23	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. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 57, 3, pp. 1511-1551, (2023).	Link
2023-21	Gabriel N. GATICA, Nicolas NUñEZ, Ricardo RUIZ-BAIER: Mixed-primal methods for natural convection driven phase change with Navier-Stokes-Brinkman equations. Journal of Scientific Computing, vol. 95, 3, article: 79, (2023).	Link
2023-20	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. Computational Geosciences, vol. 27, 2, pp. 289-316, (2023).	Link
2022-40	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. Journal of Numerical Mathematics, vol. 30, 4, pp. 325-356, (2022).	Link
2022-39	Gabriel N. GATICA, Norbert HEUER, Salim MEDDAHI: Numerical analysis and no regrets. Special issue dedicated to the memory of Francisco Javier Sayas (1968–2019). Computational Methods in Applied Mathematics, vol. 22, 4, pp. 751-755, (2022).	Link
2022-38	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. Calcolo, vol. 59, 4, article: 51, (2022).	Link
2022-34	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. IMA Journal of Numerical Analysis, vol. 42, 4, pp. 3154-3206, (2022).	Link
2022-31	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. Journal of Scientific Computing, vol. 93, 2, article: 50, (2022).	Link
2022-24	Gabriel N. GATICA, Cristian INZUNZA, Filander A. SEQUEIRA: A pseudostress-based mixed-primal finite element method for stress-assisted diffusion problems in Banach spaces. Journal of Scientific Computing, vol. 92, 3, article: 103, (2022).	Link
2022-16	Claudio I. CORREA, Gabriel N. GATICA: On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces. Computers & Mathematics with Applications, vol. 117, pp. 14-23, (2022).	Link
2022-06	Gabriel N. GATICA, Bryan GOMEZ-VARGAS, Ricardo RUIZ-BAIER: A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems. Journal of Computational and Applied Mathematics, vol. 409, Art. Num. 114144, (2022).	Link
2022-03	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. Calcolo, vol. 59, 1, article: 6, (2022).	Link
2021-43	Gabriel N. GATICA, Filander A. SEQUEIRA: An Lp spaces-based mixed virtual element method for the two-dimensional Navier-Stokes equations. Mathematical Models and Methods in Applied Sciences, vol. 31, 14, pp. 2937-2977, (2021).	Link
2021-40	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. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 55, 6, pp. 2725-2758, (2021).	Link
2021-36	Gabriel N. GATICA, Cristian INZUNZA: On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lame and Stokes equations. Computers & Mathematics with Applications, vol. 102, pp. 87-94, (2021).	Link
2021-32	Nicolas 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 Journal on Imaging Sciences, vol. 14, 3, pp. 1238–1272, (2021).	Link
2021-25	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. Mathematical Models and Methods in Applied Sciences (M3AS), vol. 31, 5, pp. 979-1020, (2021).	Link
2021-20	Gabriel N. GATICA, George C. HSIAO, Salim MEDDAHI: Further developments on boundary-field equation methods for nonlinear transmission problems. Journal of Mathematical Analysis and Applications, vol. 502, 2, Art. Num. 125262, (2021).	Link
2021-19	Gabriel N. GATICA, Mauricio MUNAR, Filander A. SEQUEIRA: A mixed virtual element method for the Boussinesq problem on polygonal meshes. Journal of Computational Mathematics, vol. 39, 3, pp. 392-427, (2021).	Link
2021-17	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. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 55, 2, pp. 659-687, (2021).	Link
2021-16	Sergio CAUCAO, Gabriel N. GATICA, Felipe SANDOVAL: A fully-mixed finite element method for the coupling of the Navier-Stokes and Darcy-Forchheimer equations. Numerical Methods for Partial Differential Equations, vol. 37, 3, pp. 2550-2587, (2021).	Link
2021-14	Eligio COLMENARES, Gabriel N. GATICA, Willian MIRANDA: Analysis of an augmented fully-mixed finite element method for a bioconvective flows model. Journal of Computational and Applied Mathematics, vol. 393, Art. Num. 113504, (2021).	Link
2021-12	Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity. Calcolo, vol. 58, 1, article: 11, (2021).	Link
2021-08	Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport. IMA Journal of Numerical Analysis, vol. 41, 1, pp. 381-411, (2021).	Link
2021-06	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. Computers & Mathematics with Applications, vol. 84, pp. 244-276, (2021).	Link
2020-56	Gabriel N. GATICA, Salim MEDDAHI: Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Journal of Numerical Mathematics, vol. 28, 4, pp. 223-245, (2020).	Link
2020-54	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. Journal of Scientific Computing, vol. 85, 2, article: 44, (2020).	Link
2020-47	Gabriel N. GATICA, Ricardo OYARZúA, Nathalie VALENZUELA: A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem. Computers & Mathematics with Applications, vol. 80, 8, pp. 1944-1963, (2020).	Link
2020-43	Gonzalo A. BENAVIDES, Sergio CAUCAO, Gabriel N. GATICA, Alejandro A. HOPPER: A Banach spaces-based analysis of a new mixed-primal finite element method for a coupled flow-transport problem. Computer Methods in Applied Mechanics and Engineering, vol. 371, Art. Num. 113285, (2020).	Link
2020-42	Sergio CAUCAO, Marco DISCACCIATI, Gabriel N. GATICA, Ricardo OYARZúA: A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 54, 5, pp. 1689-1723, (2020).	Link
2020-40	Eligio COLMENARES, Gabriel N. GATICA, Sebastian MORAGA: A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 54, 5, pp. 1525-1568, (2020).	Link
2020-31	Eligio COLMENARES, Gabriel N. GATICA, Sebastian MORAGA, Ricardo RUIZ-BAIER: A fully-mixed finite element method for the steady state Oberbeck-Boussinesq system. SMAI Journal of Computational Mathematics, vol. 6, pp. 125-157, (2020).	Link
2020-29	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 and Heterogeneous Media, vol. 15, 2, pp. 215-245, (2020).	Link
2020-25	Gabriel N. GATICA: A note on stable Helmholtz decompositions in 3D. Applicable Analysis, vol. 99, 7, pp. 1110-1121, (2020).	Link
2020-23	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. IMA Journal of Numerical Analysis, vol. 40, 2, pp. 1454-1502, (2020).	Link
2020-17	Javier A. ALMONACID, Gabriel N. GATICA: A fully-mixed finite element method for the n-dimensional Boussinesq problem with temperature-dependent parameters. Computational Methods in Applied Mathematics, vol. 20, 2, pp. 187-213, (2020).	Link
2020-07	Gabriel N. GATICA, Cristian INZUNZA: An augmented fully-mixed finite element method for a coupled flow-transport problem. Calcolo, vol. 57, 1, article:8, (2020).	Link
2020-01	Javier A. ALMONACID, Gabriel N. GATICA, Ricardo RUIZ-BAIER: Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics. Calcolo, vol. 57, 1, article:2, (2020).	Link
2019-46	Gabriel N. GATICA, Salim MEDDAHI: On the coupling of VEM and BEM in two and three dimensions. SIAM Journal on Numerical Analysis, vol. 57, 6, pp. 2493-2518, (2019).	Link
2019-26	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. Journal of Scientific Computing, vol. 80, 1, pp. 141-174, (2019).	Link
2019-23	Gabriel N. GATICA: A note on weak convergence and compactness and their connection to the existence of the inverse-adjoint*. Applicable Analysis, vol. 98, 8, pp. 1478-1482, (2019).	Link
2019-15	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. Journal of Scientific Computing, vol. 78, 2, pp. 887-917, (2019).	Link
2019-14	Gabriel N. GATICA, Bryan GOMEZ-VARGAS, Ricardo RUIZ-BAIER: Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems. Computers & Mathematics with Applications, vol. 77, 5, pp. 1312-1330, (2019).	Link
2019-12	Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZúA: A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model. Computers & Mathematics with Applications, vol. 77, 3, pp. 693-714, (2019).	Link
2019-09	Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZúA: A posteriori error analysis of an augmented fully-mixed formulation for the non-isothermal Oldroyd-Stokes problem. Numerical Methods for Partial Differential Equations, vol. 35, 1, pp. 295-324, (2019).	Link
2019-04	Ernesto CáCERES, Gabriel N. GATICA, Filander A. SEQUEIRA: A mixed virtual element method for a pseudostress-based formulation of linear elasticity. Applied Numerical Mathematics, vol. 135, pp. 423-442, (2019).	Link
2018-36	Gabriel N. GATICA, Mauricio MUNAR, Filander A. SEQUEIRA: A mixed virtual element method for the Navier-Stokes equations. Mathematical Models and Methods in Applied Sciences, vol. 28, 14, pp. 2719-2762, (2018).	Link
2018-35	Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZúA: Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations. Mathematical Modelling and Numerical Analysis, vol. 52, 5, pp. 1947-1980, (2018).	Link
2018-32	Nicolas BARNAFI, Gabriel N. GATICA, Daniel E. HURTADO: Primal and mixed finite element methods for deformable image registration problems. SIAM Journal on Imaging Sciences, vol. 11, 4, pp. 2529-2567, (2018).	Link
2018-26	Javier A. ALMONACID, Gabriel N. GATICA, Ricardo OYARZúA: A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity. Calcolo, vol. 55, 3, article:36, (2018)	Link
2018-20	Gabriel N. GATICA, Mauricio MUNAR, Filander A. SEQUEIRA: A mixed virtual element method for a nonlinear Brinkman model of porous media flow. Calcolo, vol. 55, 2, article:21, (2018).	Link
2018-18	Gabriel N. GATICA, Bryan GOMEZ-VARGAS, Ricardo RUIZ-BAIER: Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems. Computer Methods in Applied Mechanics and Engineering, vol. 337, pp. 411-438, (2018).	Link
2018-17	Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems. Journal of Computational Physics, vol. 367, pp. 322-346, (2018).	Link
2018-05	Ernesto CáCERES, Gabriel N. GATICA, Filander A. SEQUEIRA: A mixed virtual element method for quasi-Newtonian Stokes flows. SIAM Journal on Numerical Analysis, vol. 56, 1, pp. 317-343, (2018).	Link
2017-41	Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A posteriori error analysis of a fully-mixed formulation for the Brinkman-Darcy problem. Calcolo, vol. 54, 4, pp. 1491-1519, (2017).	Link
2017-40	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. Calcolo, vol. 54, 4, pp. 1419-1439, (2017).	Link
2017-37	Carlos GARCIA, Gabriel N. GATICA, Salim MEDDAHI: Finite element semidiscretization of a pressure-stress formulation for the time-domain fluid-structure interaction problem. IMA Journal of Numerical Analysis, vol. 37, 4, pp. 1772-1799, (2017).	Link
2017-30	Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZúA: A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model. Calcolo, vol. 54, 3, pp. 1055-1095, (2017).	Link
2017-28	Carlos GARCIA, Gabriel N. GATICA, Salim MEDDAHI: A new mixed finite element method for elastodynamics with weak symmetry. Journal of Scientific Computing, vol. 72, 3, pp. 1049-1079, (2017).	Link
2017-25	Jessika CAMAñO, Gabriel N. GATICA, Ricardo OYARZúA, Ricardo RUIZ-BAIER: An augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosity. Numerical Methods for Partial Differential Equations, vol. 33, 5, pp. 1692-1725, (2017).	Link
2017-23	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. Journal of Numerical Mathematics, vol. 25, 2, pp. 55-88, (2017).	Link
2017-14	Gabriel N. GATICA, Filander A. SEQUEIRA: Analysis of the HDG method for the Stokes-Darcy coupling. Numerical Methods for Partial Differential Equations, vol. 33, 3, pp. 885-917, (2017).	Link
2017-13	Ernesto CáCERES, Gabriel N. GATICA, Filander A. SEQUEIRA: A mixed virtual element method for the Brinkman problem. Mathematical Models and Methods in Applied Sciences, vol. 27, 4, pp. 707-743, (2017).	Link
2017-09	Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZúA: An augmented fully-mixed finite element method for the stationary Boussinesq problem. Calcolo, vol. 54, 1, pp. 167-205, (2017).	Link
2017-07	Ernesto CáCERES, Gabriel N. GATICA: A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. IMA Journal of Numerical Analysis, vol. 37, 1, pp. 296-331, (2017).	Link
2017-05	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. Computer Methods in Applied Mechanics and Engineering, vol. 315, pp. 943-971, (2017).	Link
2016-42	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. Journal of Scientific Computing, vol. 69, 3, pp. 1192-1250, (2016).	Link
2016-41	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. Computers & Mathematics with Applications, vol. 72, 9, pp. 2289-2310, (2016).	Link
2016-40	Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A posteriori error analysis for a viscous flow-transport problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 50, 6, pp. 1789-1816, (2016).	Link
2016-29	Sebastian DOMINGUEZ, Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: A primal-mixed formulation for the strong coupling of quasi-Newtonian fluids with porous media. Advances in Computational Mathematics, vol. 42, 3, pp. 675-720, (2016).	Link
2016-28	Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem. Computer Methods in Applied Mechanics and Engineering, vol. 307, pp. 68-95, (2016).	Link
2016-24	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. International Journal of Numerical Analysis and Modeling, vol. 13, 3, pp. 457-492, (2016).	Link
2016-23	Jessika CAMAñO, Gabriel N. GATICA, Ricardo OYARZúA, Giordano TIERRA: An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity. SIAM Journal on Numerical Analysis, vol. 54, 2, pp. 1069-1092, (2016).	Link
2016-21	Carlos GARCIA, Gabriel N. GATICA, Salim MEDDAHI: A new mixed finite element analysis of the elastodynamic equations. Applied Mathematics Letters, vol. 59, pp. 48-55, (2016).	Link
2016-14	Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A mixed-primal finite element approximation of a steady sedimentation-consolidation system. Mathematical Models and Methods in Applied Sciences, vol. 26, 5, pp. 867-900, (2016).	Link
2016-11	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. Computers & Mathematics with Applications, vol. 71, 2, pp. 585-614, (2016).	Link
2016-08	Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZúA: Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. Numerical Methods for Partial Differential Equations, vol. 32, 2, pp. 445-478, (2016).	Link
2016-07	Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZúA: Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem. Comptes Rendus Mathematique, vol. 354, 1, pp. 57-62, (2016).	Link
2016-03	Gabriel N. GATICA, Ricardo RUIZ-BAIER, Giordano TIERRA: A mixed finite element method for Darcy s equations with pressure dependent porosity. Mathematics of Computation, vol. 85, 297, pp. 1-33, (2016).	Link
2016-01	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. Journal of Computational and Applied Mathematics, vol. 292, pp. 486-504, (2016).	Link
2015-32	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. Journal of Computational Mathematics, vol. 33, 6, pp. 606-641, (2015).	Link
2015-31	Gabriel N. GATICA, Filander A. SEQUEIRA: Analysis of an augmented HDG method for a class of quasi-Newtonian Stokes flows. Journal of Scientific Computing, vol. 65, 3, pp. 1270-1308, (2015).	Link
2015-22	Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: An augmented mixed-primal finite element method for a coupled flow-transport problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 49, 5, pp. 1399-1427, (2015).	Link
2015-20	Veronica ANAYA, Gabriel N. GATICA, David MORA, Ricardo RUIZ-BAIER: An augmented velocity-vorticity-pressure formulation for the Brinkman problem. International Journal for Numerical Methods in Fluids, vol. 79, 3, pp. 109-137, (2015).	Link
2015-19	Jessika CAMAñO, Gabriel N. GATICA, Ricardo OYARZúA, Ricardo RUIZ-BAIER, Pablo VENEGAS: New fully-mixed finite element methods for the Stokes-Darcy coupling. Computer Methods in Applied Mechanics and Engineering, vol. 295, pp. 362-395, (2015).	Link
2015-16	Gabriel N. GATICA, Luis F. GATICA, Filander A. SEQUEIRA: A RT_k - P_k approximation for linear elasticity yielding a broken H(div) convergent postprocessed stress. Applied Mathematics Letters, vol. 49, pp. 133-140, (2015).	Link
2015-04	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. Computer Methods in Applied Mechanics and Engineering, vol. 289, 1, pp. 104-130, (2015).	Link
2014-11	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. Numerical Methods for Partial Differential Equations, vol. 30, 4, pp. 1211-1233, (2014).	Link
2014-10	Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: Analysis of an augmented fully-mixed finite element method for a three-dimensional fluid-solid interaction problem. International Journal of Numerical Analysis and Modeling, vol. 11, 3, pp. 624-656, (2014).	Link
2014-07	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. Numerische Mathematik, vol. 126, 4, pp. 635-677, (2014).	Link
2014-04	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. IMA Journal of Numerical Analysis, vol. 34, 1, pp. 326-361, (2014).	Link
2014-02	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. Computer Methods in Applied Mechanics and Engineering, vol. 270, 1, pp. 76-112, (2014).	Link
2013-16	Gabriel N. GATICA, Antonio MARQUEZ, Walter RUDOLPH: A priori and a posteriori error analyses of augmented twofold saddle point formulations for nonlinear elasticity problems. Computer Methods in Applied Mechanics and Engineering, vol. 264, 1, pp. 23-48, (2013).	Link
2013-15	Gabriel N. GATICA, George C. HSIAO, Salim MEDDAHI, Francisco J. SAYAS: On the dual-mixed formulation for an exterior Stokes problem. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), vol. 93, 6-7, pp. 437-445, (2013).	Link
2013-04	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. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 47, 2, pp. 471-506, (2013).	Link
2012-24	Gabriel N. GATICA, Ricardo OYARZúA, Francisco J. SAYAS: A twofold saddle point approach for the coupling of fluid flow with nonlinear porous media flow. IMA Journal of Numerical Analysis, vol. 32, 3, pp. 845-887, (2012).	Link
2012-22	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 three dimensions. SIAM Journal on Numerical Analysis, vol. 50, 3, pp. 1648-1674, (2012).	Link
2012-14	Gabriel N. GATICA, Salim MEDDAHI: Finite element analysis of a time harmonic Maxwell problem with an impedance boundary condition. IMA Journal of Numerical Analysis, vol. 32, 2, pp. 534-552, (2012).	Link
2012-06	Gabriel N. GATICA, George C. HSIAO, Francisco J. SAYAS: Relaxing the hypotheses of the Bielak-MacCamy BEM-FEM coupling. Numerische Mathematik, vol. 120, 3, pp. 465-487, (2012).	Link
2012-04	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. Communications in Computational Physics, vol. 12, 1, pp. 109-134, (2012).	Link
2011-22	Gabriel N. GATICA, Luis F. GATICA, Antonio MARQUEZ: Augmented mixed finite element methods for a vorticity-based velocity-pressure-stress formulation of the Stokes problem in 2D. International Journal for Numerical Methods in Fluids, vol. 67, 4, pp. 450-477, (2011).	Link
2011-20	Gabriel N. GATICA, Ricardo OYARZúA, Francisco J. SAYAS: Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem. Mathematics of Computation, vol. 80, 276, pp. 1911-1948, (2011).	Link
2011-13	Gabriel N. GATICA, Ricardo OYARZúA, Francisco J. SAYAS: Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem. Numerical Methods for Partial Differential Equations, vol. 27, 3, pp. 721-748, (2011).	Link
2011-12	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. Computer Methods in Applied Mechanics and Engineering, vol. 200, 21-22, pp. 1877-1891, (2011).	Link
2011-08	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. Computer Methods in Applied Mechanics and Engineering, vol. 200, 17-20, pp. 1619-1636, (2011).	Link
2011-06	Gabriel N. GATICA, Matthias MAISCHAK, Ernst P. STEPHAN: Numerical analysis of a transmission problem with Signorini contact using mixed-FEM and BEM. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 45, 4, pp. 779-802, (2011).	Link
2010-21	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 Journal on Numerical Analysis, vol. 48, 4, pp. 1338-1368, (2010)	Link
2010-07	Ivo BABUSKA, Gabriel N. GATICA: A residual-based a posteriori error estimator for the Stokes-Darcy coupled problem. SIAM Journal on Numerical Analysis, vol. 48, 2, pp. 498-523, (2010)	Link
2010-06	Gabriel N. GATICA, Norbert HEUER, Francisco J. SAYAS: A direct coupling of local discontinuous Galerkin and boundary element methods. Mathematics of Computation, vol. 79, 271, pp. 1369-1394, (2010)	Link
2010-01	Gabriel N. GATICA, Antonio MARQUEZ, Manuel A. SANCHEZ: Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations. Computer Methods in Applied Mechanics and Engineering, vol. 199, 17-20, pp. 1064-1079, (2010)	Link
2009-25	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, vol. 114, 1, pp. 63-106, (2009)	Link
2009-22	Gabriel N. GATICA, Martin HEALEY, Norbert HEUER: The boundary element method with Lagrangian multipliers. Numerical Methods for Partial Differential Equations, vol. 25, 6, pp. 1303-1319, (2009)	Link
2009-20	Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: Analysis of the coupling of BEM, FEM and mixed-FEM for a two-dimensional fluid-solid interaction problem. Applied Numerical Mathematics, vol. 59, 11, pp. 2735-2750, (2009)	Link
2009-19	Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: An augmented mixed finite element method for 3D linear elasticity problems. Journal of Computational and Applied Mathematics, vol. 231, 2, pp. 526-540, (2009)	Link
2009-04	Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: A new coupling of mixed finite element and boundary element methods for an exterior Helmholtz problem in the plane. Advances in Computational Mathematics, vol. 30, 3, pp. 281-301, (2009)	Link
2009-02	Gabriel N. GATICA, Salim MEDDAHI, Ricardo OYARZúA: A conforming mixed finite-element method for the coupling of fluid flow with porous media flow. IMA Journal of Numerical Analysis, vol. 29, 1, pp. 86-108, (2009)	Link

Proceedings (1) +

Número	Autores, Título y Datos del Proceeding
2022-02	Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: A virtual marriage a la mode: some recent results on the coupling of VEM and BEM. In: Antonietti, P.F., Beirao da Veiga, L., Manzini, G. (eds) The Virtual Element Method and its Applications. SEMA SIMAI Springer Series, vol 31, pp. 227-274, (2022). Springer, Cham

Prepublicaciones (6+117) +

Prepublicaciones
Número	Autores y Título
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.
2024-02	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.
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.

Prepublicaciones que Dieron Origen a Publicaciónes Definitivas
Número	Autores y Título
2024-12	Gabriel N. GATICA: A note on the generalized Babuska-Brezzi theory: revisiting the proof of the associated Strang error estimates.
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.
2021-04	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.
2015-38	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.
2015-14	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.
2015-07	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.

Proyectos (4) +

Agencia	Número	Vigencia	Investigadores: Título	Tipo
AFB	170001	2013 May 2021 May	Gabriel N. GATICA [P], Julio ARACENA, Rodolfo ARAYA, Fernando BETANCOURT, Raimund BÜRGER, Rommel BUSTINZA, Jessika CAMAÑO, Anahi GAJARDO, Luis F. GATICA, David MORA, Ricardo OYARZÚA, Rodolfo RODRÍGUEZ, Mauricio SEPÚLVEDA, Manuel SOLANO, Luis M. VILLADA: Centro de Modelamiento Matemático (CMM), Universidad de Chile.	Ciencias Básicas
REDOC.CTA	UCO1202	2013 Ene 2015 Dic	Raimund BÜRGER [P], Rodolfo ARAYA, Fabián FLORES-BAZÁN, Gabriel N. GATICA, Rodolfo RODRÍGUEZ, Mauricio SEPÚLVEDA: Convenio de Desempeño de Internacionalización de Doctorados: Red Doctoral en Ciencias, Tecnología y Ambiente.	Aplicado / Interdisciplinario
AICyT	ACT 1118	2012 Dic 2015 Dic	Raimund BÜRGER [P], Rodolfo ARAYA, Rommel BUSTINZA, Gabriel N. GATICA, Norbert HEUER, Carlos JEREZ-HANCKES, David MORA, Ricardo OYARZÚA, Rodolfo RODRÍGUEZ, Frank SANHUEZA, Mauricio SEPÚLVEDA: Anillo de Investigación en Análisis Numérico de Ecuaciones Diferenciales Parciales (ANANUM).	Ciencias Básicas
PFB	03	2008 Mar 2018 Mar	Raimund BÜRGER [P], Julio ARACENA, Rodolfo ARAYA, Fernando BETANCOURT, Rommel BUSTINZA, Fabián FLORES-BAZÁN, Anahi GAJARDO, Gabriel N. GATICA, Carlos M. MORA, Rodolfo RODRÍGUEZ, Mauricio SEPÚLVEDA, Manuel SOLANO: Centro de Modelamiento Matemático (CMM), Universidad de Chile.	Ciencias Básicas

Libros (3) +

Autores	Título	Descripción
Gabriel N. Gatica	A Simple Introduction to the Mixed Finite Element Method. Theory and Applications.	SpringerBriefs in Mathematics, Springer, 2014.
Gabriel N. Gatica	Introducción al Análisis Funcional. Teoría y Aplicaciones.	Editorial Reverté, Barcelona Bogotá Buenos Aires Caracas Mexico, 2014.
Gabriel N. Gatica	Introducción al Análisis Funcional. Teoría y Aplicaciones. Segunda edicion.	Editorial Reverté, Barcelona Bogotá Buenos Aires Caracas Mexico, 2024.

Director/Codirector de Tesis Posgrado (0+18) +

Alumnos Tesistas de Posgrado Actuales
Aprobacion Tesis	Nombre	Título de la Tesis	Programa	Directores
(Actualmente, no se han registrado tesistas de posgrado asociados al investigador en el centro)

Alumnos Tesistas de Posgrado Graduados
Defensa de Tesis	Nombre	Título de la Tesis	Programa	Directores
2024-09-24	Ortega, Juan Paulo	Métodos de elementos finitos mixtos para Brinkman--Forchheimer y modelos relacionados, acoplados y simples, en mecánica de fluidos	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Sergio Caucao, Gabriel N. Gatica
2024-03-28	Inzunza, Cristian	Métodos de Elementos Finitos Mixtos Basados en Espacios de Banach para Problemas de Difusión Acoplada y otros Modelos Relacionados	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Eligio Colmenares, Gabriel N. Gatica, Filánder Sequeira
2021-08-18	Miranda, Willian	Mixed Finite Element Methods for Nonlinear Problems in Biomedicine and Biology	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Eligio Colmenares, Gabriel N. Gatica, Daniel Hurtado
2019-12-19	Gómez, Bryan	Mixed Finite Element Methods for Coupled Diffusion Problems in Mechanics	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica, Ricardo Ruiz-Baier
2019-12-18	Munar, Edgar M.	Mixed Virtual Element Methods for Nonlinear Problems in Fluid Mechanics	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica, Filánder Sequeira
2019-08-22	Valenzuela, Nathalie	Un Nuevo Método de Elementos Finitos Mixtos Aumentados para el Problema de Navier-Stokes-Darcy	Magíster en Matemática, mención Matemática Aplicada, Universidad del Bío-Bío	Gabriel N. Gatica, Ricardo E. Oyarzua
2017-12-29	Caucao, Sergio	Métodos de Elementos Finitos Mixtos para Problemas Acoplados No Lineales en Medios Porosos y Flujos No Isotérmicos	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica, Ricardo E. Oyarzua
2017-06-09	García, Carlos	Métodos de Elementos Finitos Mixtos para Problemas de Propagación de Ondas Dependientes del Tiempo: Elastodinámica y Elastoacústica	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica, Salim Meddahi
2016-12-16	Colmenares, Eligio	Métodos de Elementos Finitos Mixtos para el Modelo de Boussinesq Estacionario	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica, Ricardo E. Oyarzua
2016-12-16	Álvarez, Mario	Métodos de Elementos Finitos Mixtos para Problemas Acoplados en Mecánica de Fluidos	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica, Ricardo Ruiz-Baier
2015-12-11	Sequeira, Filander	Métodos de Elementos Finitos Mixtos y Afines para Problemas No-lineales y de Transmisión en Mecánica de Medios Continuos	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica, Johnny Guzman
2014-03-27	Domínguez, Carolina	Análisis de Error A priori y A posteriori de un Método de Elementos Finitos Completamente Mixto para un Problema de Interacción Sólido-Fluido Bidimensional	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica, Salim Meddahi
2010-12-15	Oyarzúa, Ricardo	Metodos de Elementos Finitos Mixtos para el Problema Acoplado de Stokes-Darcy	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica, Francisco-Javier Sayas
2006-03-31	Barrios, Tomas	Análisis de error a-priori y a-posteriori de algunos métodos de elementos finitos mixtos estabilizados	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica, Freddy Paiva
2005-09-30	Gatica, Luis	Metodos de Elementos Finitos Mixtos para Elasticidad Incompresible Nolineal	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica
2004-06-04	Bustinza, Rommel	Análisis Numérico de Problemas de Transmisión con Discontinuidades	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica
2002-12-18	Barrientos, Mauricio	Análisis de Error A-Posteriori para Formulaciones Mixtas Duales de Problemas de Valores de Contorno Lineales y No Lineales	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica
2000-03-24	Mellado, Mario	Solución Numérica de Problemas Exteriores en Teoría del Potencial y Elasticidad	Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica

Director/Codirector de Tesis Pregrado (1+19) +

Alumnos Tesistas de Pregrado Actuales
Aprobacion Tesis	Nombre	Título de la Tesis	Carrera	Directores
2023-08-21	Silva, Juan Pablo	Métodos de elementos finitos mixtos para el modelo de Navier-Stokes con viscosidad variable y su acoplamiento con la ecuación de Darcy	Ingeniería Civil Matemática, Universidad de Concepción	Ana Alonso-Rodríguez, Jessika Camaño, Gabriel N. Gatica, Rodolfo Rodríguez

Alumnos Tesistas de Pregrado Graduados
Defensa de Tesis	Nombre	Título de la Tesis	Carrera	Directores
2023-08-03	Carrasco, Sergio	Nuevos Métodos de Elementos Finitos Mixtos para las Ecuaciones Acopladas de Brinkman-Forchheimer Convectiva y de Doble Difusión	Ingeniería Civil Matemática, Universidad de Concepción	Sergio Caucao, Gabriel N. Gatica
2023-01-10	Núñez, Nicolás	Métodos de elementos finitos mixtos basados en espacios de Banach para las ecuaciones acopladas de Navier-Stokes-Brinkman y convección natural	Ingeniería Civil Matemática, Universidad de Concepción	Gabriel N. Gatica, Ricardo Ruiz-Baier
2022-10-20	Correa, Claudio	Métodos de Elementos Finitos Mixtos Basados en Espacios de Banach para las Ecuaciones Acopladas de Stokes y de Poisson-Nernst-Planck	Ingeniería Civil Matemática, Universidad de Concepción	Gabriel N. Gatica, Ricardo Ruiz-Baier
2022-05-03	Rojas, Juan Carlos	Un método de elementos finitos mixto-primal basado en espacios de Banach para el acoplamiento del flujo de Brinkman y transporte no lineal	Ingeniería Civil Matemática, Universidad de Concepción	Eligio Colmenares, Gabriel N. Gatica
2019-03-08	Moraga, Sebastián	Análisis basado en espacios de Banach de un nuevo método de elementos finitos completamente mixto para el problema de Boussinesq	Ingeniería Civil Matemática, Universidad de Concepción	Eligio Colmenares, Gabriel N. Gatica
2018-12-12	Inzunza, Cristian	Análisis numérico de un método de elementos finitos mixtos para el problema de flujo con transporte	Ingeniería Civil Matemática, Universidad de Concepción	Gabriel N. Gatica
2018-12-03	Sandoval, Felipe	Un método de elementos finitos completamente mixto para el acoplamiento de las ecuaciones de Navier-Stokes y Darcy-Forchheimer	Ingeniería Civil Matemática, Universidad de Concepción	Sergio Caucao, Gabriel N. Gatica
2017-08-28	Almonacid, Javier A.	Análisis Numérico de un Método de Elementos Finitos Mixtos para el Problema de Boussinesq con Viscosidad Variable	Ingeniería Civil Matemática, Universidad de Concepción	Gabriel N. Gatica, Ricardo E. Oyarzua
2015-10-21	Castillo, Jorge A.	Análisis de Error a Posteriori para las FormulacionesCompletamente Mixtas de los Problemas de Stokes y Stokes-Darcy Evolutivos.	Ingeniería Civil Matemática, Universidad de Concepción	Gabriel N. Gatica
2015-09-02	Díaz, Hugo	El Problema Acoplado de Darcy-Forchheimer y Stokes	Ingeniería Civil Matemática, Universidad de Concepción	Gabriel N. Gatica
2015-01-27	Cáceres, Ernesto	Métodos de Elementos Virtuales Mixtos: Aplicaciones en Mecánica de Fluidos.	Ingeniería Civil Matemática, Universidad de Concepción	Gabriel N. Gatica
2015-01-05	Domínguez, Sebastián	Una Formulación Primal-Mixta para el Acoplamiento Fuerte de Fluidos Quasi-Newtonianos con Medios Porosos	Ingeniería Civil Matemática, Universidad de Concepción	Gabriel N. Gatica
2014-05-08	Milanese, Franco	Métodos de Elementos Finitos para un Problema de Darcy en la Minería del Cobre	Ingeniería Civil Matemática, Universidad de Concepción	Gabriel N. Gatica
2013-07-29	Rebolledo, Ramiro J.	Análisis de un Enfoque Completamente Mixto Aumentado para el Acoplamiento de Fluidos Quasi-Newtonianos con Medios Porosos	Ingeniería Civil Matemática, Universidad de Concepción	Gabriel N. Gatica, Ricardo E. Oyarzua
2012-08-24	Rudolph, Walter	Análisis de Error A priori y A posteriori de Formulaciones de Punto Silla Doble Aumentadas para Problemas de Elasticidad No lineal	Ingeniería Civil Matemática, Universidad de Concepción	Gabriel N. Gatica
2010-01-15	Sanchez, Manuel A.	Analysis of a Velocity-Pressure-Pseudostress Formulation for the Stationary Stokes Equations	Ingenieria Civil Matematica, Universidad de Concepcion	Gabriel N. Gatica
2007-01-15	Solano, Manuel E.	Metodos de Elementos Finitos Mixtos para Problemas No-Coercivos Aplicaciones en Acustica y Elastodinamica	Ingeniería Civil Matemática, Universidad de Concepción	Gabriel N. Gatica
2007-01-15	Figueroa, Leonardo E.	An Augmented Mixed Finite Element Method for Incompressible Elasticity and GMRES Iteration of its Compressible Counterpart	Ingeniería Matemática, Universidad de Concepción	Gabriel N. Gatica
2007-01-10	Oyarzua, Ricardo E.	Un Metodo de Elementos Finitos Mixtos para el Acoplamiento de Fluidos con Medios Porosos	Ingeniería Civil Matemática, Universidad de Concepción	Gabriel N. Gatica

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