CI²MA - Publicaciones | Artículos en Revistas Científicas


Artículos en Revistas Científicas

La siguiente es la lista de publicaciones en revistas científicas del autor indicado, ordenadas por año de ocurrencia, a partir de 2009, fecha de creación del Centro de Investigación en Ingeniería Matemática (CI²MA). Al hacer LINK en el logo de MathScinet ubicado a la derecha, se despliegan todas las publicaciones de este autor en dicha base de datos de la AMS. A su vez, al hacer LINK en un determinado co-autor se despliegan todas sus publicaciones disponibles en la presente base de datos.

Publicaciones de Gabriel N. GATICA

Conexión usuarios externos

Conexión usuarios UdeC

NúmeroAutores, Título y Datos de la Publicación
2017-30

Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZUA: A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model. Calcolo, vol. 54, 3, pp. 1055-1095, (2017).

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).

2017-25

Jessika CAMAÑO, Gabriel N. GATICA, Ricardo OYARZUA, 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).

2017-23

Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZUA, 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).

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).

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).

2017-09

Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZUA: An augmented fully-mixed finite element method for the stationary Boussinesq problem. Calcolo, vol. 54, 1, pp. 167-205, (2017).

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).

2017-05

Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZUA: 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).

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).

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).

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).

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).

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).

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).

2016-23

Jessika CAMAÑO, Gabriel N. GATICA, Ricardo OYARZUA, 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).

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).

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).

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).

2016-08

Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZUA: 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).

2016-07

Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZUA: Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem. Comptes Rendus Mathematique, vol. 354, 1, pp. 57-62, (2016).

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).

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).

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).

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).

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).

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).

2015-19

Jessika CAMAÑO, Gabriel N. GATICA, Ricardo OYARZUA, 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).

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).

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).

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).

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).

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).

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).

2014-02

Gabriel N. GATICA, Antonio MARQUEZ, Ricardo OYARZUA, 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).

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).

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).

2013-04

Carolina DOMINGUEZ, Gabriel N. GATICA, Salim MEDDAHI, Ricardo OYARZUA: 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).

2012-24

Gabriel N. GATICA, Ricardo OYARZUA, 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).

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).

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).

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).

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).

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).

2011-20

Gabriel N. GATICA, Ricardo OYARZUA, 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).

2011-13

Gabriel N. GATICA, Ricardo OYARZUA, 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).

2011-12

Gabriel N. GATICA, Ricardo OYARZUA, 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).

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).

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).

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)

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)

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)

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)

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)

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)

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)

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)

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)

2009-02

Gabriel N. GATICA, Salim MEDDAHI, Ricardo OYARZUA: 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)