Gabriel N. Gatica
Affiliations:- University of Concepción, Chile
According to our database1,
Gabriel N. Gatica
authored at least 66 papers
between 2000 and 2023.
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Bibliography
2023
New Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Double-Diffusion Equations.
J. Sci. Comput., December, 2023
New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces.
J. Num. Math., December, 2023
A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem.
Comput. Math. Appl., September, 2023
Mixed-Primal Methods for Natural Convection Driven Phase Change with Navier-Stokes-Brinkman Equations.
J. Sci. Comput., June, 2023
2022
A Pseudostress-Based Mixed-Primal Finite Element Method for Stress-Assisted Diffusion Problems in Banach Spaces.
J. Sci. Comput., 2022
A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models.
J. Num. Math., 2022
A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems.
J. Comput. Appl. Math., 2022
Numerical Analysis & No Regrets. Special Issue Dedicated to the Memory of Francisco Javier Sayas (1968-2019).
Comput. Methods Appl. Math., 2022
On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces.
Comput. Math. Appl., 2022
2021
Adaptive Mesh Refinement in Deformable Image Registration: A Posteriori Error Estimates for Primal and Mixed Formulations.
SIAM J. Imaging Sci., 2021
Analysis of an augmented fully-mixed finite element method for a bioconvective flows model.
J. Comput. Appl. Math., 2021
Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds.
Comput. Math. Appl., 2021
On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations.
Comput. Math. Appl., 2021
2020
A new mixed finite element method for the <i>n</i>-dimensional Boussinesq problem with temperature-dependent viscosity.
Networks Heterog. Media, 2020
A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman-Forchheimer Equations.
J. Sci. Comput., 2020
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems.
J. Num. Math., 2020
A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity.
CoRR, 2020
A Fully-Mixed Finite Element Method for the n-Dimensional Boussinesq Problem with Temperature-Dependent Parameters.
Comput. Methods Appl. Math., 2020
A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem.
Comput. Math. Appl., 2020
2019
SIAM J. Numer. Anal., 2019
New Mixed Finite Element Methods for Natural Convection with Phase-Change in Porous Media.
J. Sci. Comput., 2019
A Posteriori Error Analysis of a Mixed-Primal Finite Element Method for the Boussinesq Problem with Temperature-Dependent Viscosity.
J. Sci. Comput., 2019
Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems.
Comput. Math. Appl., 2019
A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model.
Comput. Math. Appl., 2019
2018
SIAM J. Numer. Anal., 2018
SIAM J. Imaging Sci., 2018
A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems.
J. Comput. Phys., 2018
2017
J. Sci. Comput., 2017
A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity.
J. Num. Math., 2017
2016
An Augmented Mixed Finite Element Method for the Navier-Stokes Equations with Variable Viscosity.
SIAM J. Numer. Anal., 2016
A mixed finite element method for Darcy's equations with pressure dependent porosity.
Math. Comput., 2016
A Priori and a Posteriori Error Analyses of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows.
J. Sci. Comput., 2016
A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions.
J. Comput. Appl. Math., 2016
A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity.
Comput. Math. Appl., 2016
A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity.
Comput. Math. Appl., 2016
Appl. Math. Lett., 2016
A primal-mixed formulation for the strong coupling of quasi-Newtonian fluids with porous media.
Adv. Comput. Math., 2016
2015
J. Sci. Comput., 2015
A approximation for linear elasticity yielding a broken convergent postprocessed stress.
Appl. Math. Lett., 2015
2014
Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow.
Numerische Mathematik, 2014
2012
Analysis of the Coupling of Lagrange and Arnold-Falk-Winther Finite Elements for a Fluid-Solid Interaction Problem in Three Dimensions.
SIAM J. Numer. Anal., 2012
Numerische Mathematik, 2012
2011
Math. Comput., 2011
2010
A Coupled Mixed Finite Element Method for the Interaction Problem between an Electromagnetic Field and an Elastic Body.
SIAM J. Numer. Anal., 2010
SIAM J. Numer. Anal., 2010
Math. Comput., 2010
2009
A residual-based a posteriori error estimator for a two-dimensional fluid-solid interaction problem.
Numerische Mathematik, 2009
J. Comput. Appl. Math., 2009
A new coupling of mixed finite element and boundary element methods for an exterior Helmholtz problem in the plane.
Adv. Comput. Math., 2009
2008
SIAM J. Sci. Comput., 2008
2007
Analysis of the Coupling of Primal and Dual-Mixed Finite Element Methods for a Two-Dimensional Fluid-Solid Interaction Problem.
SIAM J. Numer. Anal., 2007
2006
An a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods.
Math. Comput., 2006
A wavelet-based stabilization of the mixed finite element method with Lagrange multipliers.
Appl. Math. Lett., 2006
2005
Numerische Mathematik, 2005
An <i>A Posteriori</i> Error Estimate for the Local Discontinuous Galerkin Method Applied to Linear and Nonlinear Diffusion Problems.
J. Sci. Comput., 2005
2004
A Local Discontinuous Galerkin Method for Nonlinear Diffusion Problems with Mixed Boundary Conditions.
SIAM J. Sci. Comput., 2004
A mixed finite element method with Lagrange multipliers for nonlinear exterior transmission problems.
Numerische Mathematik, 2004
2003
2002
A Preconditioned MINRES Method for the Coupling of Mixed-FEM and BEM for Some Nonlinear Problems.
SIAM J. Sci. Comput., 2002
A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a-posteriori error estimate.
Numerische Mathematik, 2002
2001
Numerische Mathematik, 2001
Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems.
Numer. Linear Algebra Appl., 2001
Math. Comput., 2001
2000
SIAM J. Numer. Anal., 2000