Puesto de trabajo HR
- Profesor Titular
Cerrar
Gatica Pérez, Gabriel Nibaldo
Posiciones
- Profesor Titular, Departamento de Ingeniería Matemática , Facultad de Ciencias Físicas y Matemáticas
Visión General
Publicaciones
publicaciones seleccionadas
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artículo académico
- Banach spaces-based mixed finite element methods for a steady sedimentation-consolidation system. CALCOLO. 63(1). 2026
- Mixed-primal and fully-mixed formulations for the convection-diffusion-reaction system based upon Brinkman-Forchheimer equations. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 207:222-229. 2026
- A new Banach spaces-based mixed finite element method for the coupled Navier-Stokes and Darcy equations. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 474. 2025
- A posteriori error analysis of a mixed finite element method for the stationary convective Brinkman–Forchheimer problem. APPLIED NUMERICAL MATHEMATICS. 211:158-178. 2025
- A posteriori error analysis of mixed finite element methods for a regularized µ(I)-rheology model of granular materials. JOURNAL OF COMPUTATIONAL PHYSICS. 542. 2025
- New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations. IMA JOURNAL OF NUMERICAL ANALYSIS. 45(4):1936-1984. 2025
- New Fully Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Nonlinear Transport Equations. JOURNAL OF SCIENTIFIC COMPUTING. 104(2). 2025
- Nonlinear twofold saddle point-based mixed finite element methods for a regularized µ(I)-rheology model of granular materials. JOURNAL OF COMPUTATIONAL PHYSICS. 520. 2025
- Primal-mixed finite element methods for the coupled Biot and Poisson–Nernst–Planck equations. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 186:53-83. 2025
- A Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq equations. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 447. 2024
- A note on the generalized Babuška–Brezzi theory: Revisiting the proof of the associated Strang error estimates. APPLIED MATHEMATICS LETTERS. 157. 2024
- A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity. APPLIED NUMERICAL MATHEMATICS. 201:465-487. 2024
- A three-field mixed finite element method for the convective Brinkman–Forchheimer problem with varying porosity. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 451. 2024
- Banach spaces-based mixed finite element methods for the coupled Navier-Stokes and Poisson-Nernst-Planck equations. CALCOLO. 61. 2024
- A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 145:65-89. 2023
- A Banach spaces-based mixed finite element method for the stationary convective Brinkman–Forchheimer problem. CALCOLO. 60(4). 2023
- A posteriori error analysis of a Banach spaces-based fully mixed FEM for double-diffusive convection in a fluid-saturated porous medium. COMPUTATIONAL GEOSCIENCES. 27:289-316. 2023
- Coupled mixed finite element and finite volume methods for a solid velocity-based model of multidimensional sedimentation. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS. 57(4):2529-2556. 2023
- Mixed-Primal Methods for Natural Convection Driven Phase Change with Navier-Stokes-Brinkman Equations. JOURNAL OF SCIENTIFIC COMPUTING. 95(3). 2023
- New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems. APPLIED NUMERICAL MATHEMATICS. 193:148-178. 2023
- New Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Double-Diffusion Equations. JOURNAL OF SCIENTIFIC COMPUTING. 97(3). 2023
- New mixed finite element methods for the coupled Stokes and Poisson–Nernst–Planck equations in Banach spaces. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS. 57(3):1511-1551. 2023
- New non-augmented mixed finite element methods for the Navier–Stokes–Brinkman equations using Banach spaces. JOURNAL OF NUMERICAL MATHEMATICS. 31(4):343-373. 2023
- A Banach spaces-based mixed-primal finite element method for the coupling of Brinkman flow and nonlinear transport. CALCOLO. 59(4). 2022
- A Posteriori Error Analysis of a Mixed Finite Element Method for the Coupled Brinkman-Forchheimer and Double-Diffusion Equations. JOURNAL OF SCIENTIFIC COMPUTING. 93(2). 2022
- A Pseudostress-Based Mixed-Primal Finite Element Method for Stress-Assisted Diffusion Problems in Banach Spaces. JOURNAL OF SCIENTIFIC COMPUTING. 92(3). 2022
- A new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem. CALCOLO. 59(1). 2022
- A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models. JOURNAL OF NUMERICAL MATHEMATICS. 30(4):325-356. 2022
- A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 409. 2022
- An L-p-spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations. IMA JOURNAL OF NUMERICAL ANALYSIS. 42(4):3154-3206. 2022
- On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 117:14-23. 2022
- A fully-mixed finite element method for the coupling of the Navier-Stokes and Darcy-Forchheimer equations. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. 37(3):2550-2587. 2021
- 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-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 55(6):2725-2758. 2021
- A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity. CALCOLO. 58(1). 2021
- A mixed virtual element method for the Boussinesq problem on polygonal meshes. JOURNAL OF COMPUTATIONAL MATHEMATICS. 39(3):392-427. 2021
- A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport. IMA JOURNAL OF NUMERICAL ANALYSIS. 41(1):381-411. 2021
- Adaptive mesh refinement in deformable image registration: A posteriori error estimates for primal and mixed formulations. SIAM JOURNAL ON IMAGING SCIENCES. 14(3):1238-1272. 2021
- An L p spaces-based mixed virtual element method for the two-dimensional Navier-Stokes equations. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 31(14):2937-2977. 2021
- Analysis of an augmented fully-mixed finite element method for a bioconvective flows model. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 393. 2021
- Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 85:244-276. 2021
- Further developments on boundary-field equation methods for nonlinear transmission problems. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 502. 2021
- New primal and dual-mixed finite element methods for stable image registration with singular regularization. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 31(5):979-1020. 2021
- On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 102:87-94. 2021
- Residual-based a posteriori error analysis for the coupling of the Navier-Stokes and Darcy-Forchheimer equations. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 55(2):659-687. 2021
- A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 54(5):1525-1568. 2020
- 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. 371. 2020
- A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman-Forchheimer Equations. JOURNAL OF SCIENTIFIC COMPUTING. 85(2):1-37. 2020
- A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 54(5):1689-1723. 2020
- A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 80(8):1944-1963. 2020
- A fully-mixed finite element method for the coupling of the Stokes and DarcyF-orchheimer problems. IMA JOURNAL OF NUMERICAL ANALYSIS. 40(2):1454-1502. 2020
- A fully-mixed finite element method for the n-dimensional Boussinesq problem with temperature-dependent parameters. COMPUTATIONAL METHODS IN APPLIED MATHEMATICS. 20(2):187-213. 2020
- A fully-mixed finite element method for the steady state Oberbeck-Boussinesq system. JOURNAL OF COMPUTATIONAL MATHEMATICS. 6:125-157. 2020
- A new mixed finite element method for the n-dimensional Boussinesq problem with temperature-dependent viscosity. NETWORKS AND HETEROGENEOUS MEDIA. 15(2):215-245. 2020
- A note on stable Helmholtz decomposition in 3D. APPLICABLE ANALYSIS. 99(7):1110-1121. 2020
- An augmented fully-mixed finite element method for a coupled flow-transport problem. CALCOLO. 57(1):1-41. 2020
- Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. JOURNAL OF NUMERICAL MATHEMATICS. 28(4):223-245. 2020
- Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics. CALCOLO. 57(1):1-25. 2020
- A Posteriori Error Analysis of a Mixed-Primal Finite Element Method for the Boussinesq Problem with Temperature-Dependent Viscosity. JOURNAL OF SCIENTIFIC COMPUTING. 78(2):887-917. 2019
- A mixed virtual element method for a pseudostress-based formulation of linear elasticity. APPLIED NUMERICAL MATHEMATICS. 135:423-442. 2019
- A note on weak* convergence and compactness and their connection to the existence of the inverse-adjoint. APPLICABLE ANALYSIS. 98(8):1478-1482. 2019
- A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd-Stokes problem. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. 35(1):295-324. 2019
- A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 77(3):693-714. 2019
- Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 77(5):1312-1330. 2019
- New Mixed Finite Element Methods for Natural Convection with Phase-Change in Porous Media. JOURNAL OF SCIENTIFIC COMPUTING. 80(1):141-174. 2019
- On the coupling of VEM and BEM in two and three dimensions. SIAM JOURNAL ON NUMERICAL ANALYSIS. 57(6):2493-2518. 2019
- A mixed virtual element method for a nonlinear brinkman model of porous media flow. CALCOLO. 55(2):1-36. 2018
- A mixed virtual element method for quasi-newtonian stokes flows. SIAM JOURNAL ON NUMERICAL ANALYSIS. 56(1):317-343. 2018
- A mixed virtual element method for the Navier-Stokes equations. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 28(14):2719-2762. 2018
- A mixed-primal finite element method for the boussinesq problem with temperature-dependent viscosity. CALCOLO. 55(3):1-42. 2018
- A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems. JOURNAL OF COMPUTATIONAL PHYSICS. 367:322-346. 2018
- Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 337:411-438. 2018
- Analysis of an augmented fully-mixed formulation for the coupling of the stokes and heat equations. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 52(2):1947-1980. 2018
- Primal and Mixed Finite Element Methods for Deformable Image Registration Problems. SIAM JOURNAL ON IMAGING SCIENCES. 11(4):2529-2567. 2018
- A fully discrete scheme for the pressure-stress formulation of the time-domain fluid-structure interaction problem. CALCOLO. 54(4):1419-1439. 2017
- A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. JOURNAL OF NUMERICAL MATHEMATICS. 25(2):55-88. 2017
- A mixed virtual element method for the brinkman problem. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 27(4):707-743. 2017
- A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. IMA JOURNAL OF NUMERICAL ANALYSIS. 37(1):296-331. 2017
- A new mixed finite element method for elastodynamics with weak symmetry. JOURNAL OF SCIENTIFIC COMPUTING. 72:1049-1079. 2017
- 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. 315:943-971. 2017
- A posteriori error analysis of a fully-mixed formulation for the brinkman-Darcy problem. CALCOLO. 54(4):1491-1519. 2017
- A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model. CALCOLO. 54(3):1055-1095. 2017
- An augmented fully-mixed finite element method for the stationary Boussinesq problem. CALCOLO. 54(1):167-205. 2017
- An augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosity. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. 33(5):1692-1725. 2017
- Analysis of the HDG method for the stokes-darcy coupling. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. 33(3):885-917. 2017
- Finite element semidiscretization of a pressure-stress formulation for the time-domain fluid-structure interaction problem. IMA JOURNAL OF NUMERICAL ANALYSIS. 37(4):1772-1799. 2017
- A Posteriori Error Analysis for a Viscous Flow-Transport Problem*. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 50:1789-1816. 2016
- A Priori and a Posteriori Error Analyses of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows. JOURNAL OF SCIENTIFIC COMPUTING. 69(3):1192-1250. 2016
- A mixed-primal finite element approximation of a sedimentation-consolidation system. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 26(5):867-900. 2016
- A new mixed finite element analysis of the elastodynamic equations. APPLIED MATHEMATICS LETTERS. 59:48-55. 2016
- A posteriori error analysis of an augmented mixed method for the Navier-Stockes equations with nonlinear viscosity. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 72:2289-2310. 2016
- A primal-mixed formulation for the strong coupling of quasi-Newtonian fluids with porous media. ADVANCES IN COMPUTATIONAL MATHEMATICS. 42(3):675-720. 2016
- A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 71(2):585-614. 2016
- A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 292:486-504. 2016
- A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 307:68-95. 2016
- An Augmented Mixed Finite Element Method for the Navier-Stokes Equation with Variable Viscosity. SIAM JOURNAL ON NUMERICAL ANALYSIS. 54(2):1069-1092. 2016
- Analysis of an Augmented Mixed-Primal Formulation for the Stationary Boussinesq Problem. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. 32(2):445-478. 2016
- Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem. COMPTES RENDUS MATHEMATIQUE. 354:57-62. 2016
- New developments on the coupling of mixed-fem and bem for the three-dimensional exterior stokes problem. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING. 13(3):457-492. 2016
- A Posteriori Error Analysis of a Fully-Mixed Finite Element Method for a Two-Dimensional Fluid-Solid Interaction Problem. JOURNAL OF COMPUTATIONAL MATHEMATICS. 33(6):606-641. 2015
- A RTK - P-K approximation for linear elasticity yielding a broken H(div) convergent postprocessed stress. APPLIED MATHEMATICS LETTERS. 49:133-140. 2015
- A mixed finite element method for darcy's equations with pressure dependent porosity. MATHEMATICS OF COMPUTATION. 85(297):1-33. 2015
- An Augmented Mixed-Primal Finite Element Method for a Coupled Flow-Transport Problem. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 49:1399-1427. 2015
- An augmented Velocity-Vorticity-pressure formulation for the brinkman equations. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. 79(3):109-137. 2015
- Analysis of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows. JOURNAL OF SCIENTIFIC COMPUTING. 65(3):1270-1308. 2015
- Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 289:104-130. 2015
- New fully-mixed finite element methods for the Stokes-darcy coupling. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 295:362-395. 2015
- A posteriori error analysis of twofold saddle point variational formulations for nonlinear boundary value problems. IMA JOURNAL OF NUMERICAL ANALYSIS. 34:326-361. 2014
- Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow. NUMERISCHE MATHEMATIK. 126:635-677. 2014
- Analysis of an augmented fully-mixed approach for the coupling of quasi-Newtonian fluids and porous media. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 270:76-112. 2014
- Analysis of an augmented fully-mixed finite element method for a three-dimensional fluid-solid interaction problem. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING. 11(3):624-656. 2014
- Coupling of Mixed Finite Element and Stabilized Boundary Element Methods for a Fluid-Solid Interaction Problem in 3D. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. 30(4):1211-1233. 2014
- A priori and a posteriori error analyses of augmented twofold saddle point formulations for nonlinear elasticity problems. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 264:23-48. 2013
- 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-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 47(2):471-506. 2013
- On the dual-mixed formulation for an exterior Stokes problem. ZAMM-ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND MECHANIK. 93(6-7):437-445. 2013
- A twofold saddle point approach for the coupling of fluid flow with nonlinear porousmedia flow. IMA JOURNAL OF NUMERICAL ANALYSIS. 32(3):847-887. 2012
- 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. 50(3):1648-1674. 2012
- Finite element analysis of a time harmonic Maxwell problem with an impedance boundary condition. IMA JOURNAL OF NUMERICAL ANALYSIS. 32(2):534-552. 2012
- Pseudostress-Based Mixed Finite Element Methods for the Stokes Problem in Rn with Dirichlet Boundary Conditions. I: A Priori Error Analysis. COMPUTER PHYSICS COMMUNICATIONS. 12(1):109-134. 2012
- Relaxing the hypotheses of the Bielak-MacCamy's BEM-FEM coupling. NUMERISCHE MATHEMATIK. 120(3):465-487. 2012
- A priori and a posteriori error analyses of a velocity-pseudoestress formulation for a class of quasi-Newtonian Stokes flows. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 200:1619-1636. 2011
- 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. 200:1877-1891. 2011
- Analysis of Fully-Mixed Finite Element Methods for the Stokes-Darcy Coupled Problem. MATHEMATICS OF COMPUTATION. 80(276):1911-1948. 2011
- 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. 67:450-477. 2011
- Convergence of a Family of Galerkin Discretizations for the Stokes-Darcy Coupled Problem. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. 27(3):721-748. 2011
- Numerical analysis of a transmission problem with signorini contact using Mixed-Fem an Bem. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 45:779-802. 2011
- A Coupled Mixed Finite Element Method for the Interaction Problem Between an Electromagnetic Field and an Elastic Body. SIAM JOURNAL ON NUMERICAL ANALYSIS. 48(4):1338-1368. 2010
- A Direct Coupling of Local Discontinuous Galerkin and Boundary Element Methods. MATHEMATICS OF COMPUTATION. 79(271):1369-1394. 2010
- A Residual-Based a posteriori Error Estimator for the Stokes-Darcy Coupled Problem. SIAM JOURNAL ON NUMERICAL ANALYSIS. 48(2):498-523. 2010
- Analysis of a Velocity-Pressure-Pseudostress Formulation for the Stationary Stokes Equations. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 199:1064-1079. 2010
- A Conforming Mixed Finite-Element Method for the Coupling of Fluid Flow with Porous Media Flow. IMA JOURNAL OF NUMERICAL ANALYSIS. 29:86-108. 2009
- A New Coupling of Mixed Finite Element and Boundary Element Methods for an Exterior Helmholtz Problem in the Plane. ADVANCES IN COMPUTATIONAL MATHEMATICS. 30:281-301. 2009
- A Residual-Based a posteriori Error Estimator for a Two-Dimensional Fluid-Solid Interaction Problem. NUMERISCHE MATHEMATIK. 114:63-106. 2009
- An Augmented Mixed Finite Element Method for 3D Linear Elasticity Problems. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 231:526-540. 2009
- Analysis of the Coupling of BEM, FEM and Mixed-FEM for a Two-Dimensional Fluid-Solid Interaction Problem. APPLIED NUMERICAL MATHEMATICS. 59:2735-2750. 2009
- The Boundary Element Method with Lagrangian Multipliers. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. 25(6):1303-1319. 2009
- A New Dual-Mixed Finite Element Method for the Plane Linear Elasticity Problem with Pure Traction Boundary Conditions. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 197:1115-1130. 2008
- A Priori and a Posteriori Error Analysis of an Augmented Mixed Finite Element Method for Incompressible Fluid Flows. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 198:180-191. 2008
- Augmented Mixed Finite Element Methods for the Stationary Stokes Equations. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 31(2):1082-1119. 2008
- Characterizing the Inf-Sup Condition on Product Spaces. NUMERISCHE MATHEMATIK. 109:209-231. 2008
- On the Coupling of Local Discontinuous Galerkin and Boundary Element Methods for Non-Linear Exterior Transmission Problems. IMA JOURNAL OF NUMERICAL ANALYSIS. 28(2):225-244. 2008
- A Dual-Mixed Finite Element Method for Nonlinear Incompressible Elasticity with Mixed Boundary Conditions. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 196:3348-3369. 2007
- A Look at How LDG and BEM Can Be Coupled. ESAIM: PROCEEDINGS. 21:88-97. 2007
- A Priori and a Posteriori Error Analysis of a Wavelet-Based Stabilization for the Mixed Finite Element Method. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. 28(3-4):265-286. 2007
- An Augmentd Mixed Finite Element Method With Lagrange Multipliers: A Priori and a Posteriori Error Analyses. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 200:653-676. 2007
- An Augmented Mixed Finite Element Method for Linear Elasticity with Non-Homogeneous Dirichlet Conditions. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. 26:421-438. 2007
- Analysis of the Coupling of Primal and Dual-Mixed Finite Element Methods for a Two-Dimensional Fluid-Solid Interaction Problem. SIAM JOURNAL ON NUMERICAL ANALYSIS. 45(5):2072-2097. 2007
- A Note on the Local Approximation Properties of Piecewise Polynomials With Applications to LDG Methods. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 51(2):109-117. 2006
- A Residual Based A Posteriori Error Estimator for an Augmented Mixed Finite Element Method in Linear Elasticity. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 40(5):843-869. 2006
- A Wavelet-Based Stabilization of the Mixed Finite Element Method with Lagrange Multipliers. APPLIED MATHEMATICS LETTERS. 19:244-250. 2006
- An a Priori Error Analysis for the Coupling of Local Discontinuous Galerkin and Boundary Element Methods. MATHEMATICS OF COMPUTATION. 75(256):1675-1696. 2006
- Analysis of a New Augmented Mixed Finite Element Method for Linear Elasticity Allowing RT0-P1-P0 Approximations. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 40(1):1-28. 2006
- On the a Priori and a posteriori Error Analysis of a Two-Fold Saddle-Point Approach for Nonlinear Incompressible Elasticity. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. 68:861-892. 2006
- A Mixed Finite Element Method for the Generalized Stokes Problem. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. 49:877-903. 2005
- A Mixed Local Discontinuous Galerkin Method for a Class of Nonlinear Problems in Fluid Mechanics. JOURNAL OF COMPUTATIONAL PHYSICS. 207:427-456. 2005
- A Posteriori Error Estimates for the Mixed Finite Element Method with Lagrange Multipliers. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. 21(3):421-450. 2005
- An A-Posteriori Error Estimate for the Local Discontinuous Galerkin Method Applied to Linear and Nonlinear Diffusion Problems. JOURNAL OF SCIENTIFIC COMPUTING. 22(1):147-185. 2005
- Enriched Finite Element Subspaces for Dual-Dual Mixed Formulations in Fluid Mechanics and Elasticity. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 194:427-439. 2005
- On the Coupling of Mixed-FEM and BEM for an Exterior Helmholtz Problem in the Plane. NUMERISCHE MATHEMATIK. 100:663-695. 2005
- A Local Discontinuous Galerkin Method for Nonlinear Diffusion Problems with Mixed Boundary Conditions. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 26(1):152-177. 2004
- A Low-Order Mixed Finite Element Method for a Class of Quasi-Neutonian Stokes Flows. Part I: A Priori Error Analysis. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 193:881-892. 2004
- A Low-Order Mixed Finite Element Method for a Class of Quasi-newtonian Stokes Flows. Part II: A Posteriori Error Analysis. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 193:893-911. 2004
- A Mixed Finite Element Method with Lagrange Multipliers for Nonlinear Exterior Transmission Problems. NUMERISCHE MATHEMATIK. 96:481-523. 2004
- A Note on the Efficiency of Residual-Based A-Posteriori Error Estimators for Some Mixed Finite Element Methods. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. 17:218-233. 2004
- Analysis of a Coupled BEM/FEM Eigensolver for the Hydroelastic Vibrations Problem. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 38(4):653-672. 2004
- Analysis of a Coupled BEM/FEM Eigensolver for the Hydroelastic Vibrations Problem. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 38(4):653-672. 2004
- On the Numerical Analysis of a Nonlinear Elliptic Problem Via Mixed-FEM and Lagrange Multipliers. APPLIED NUMERICAL MATHEMATICS. 48:135-155. 2004
- A FEM-DtN Formulation for a Non-Linear Exterior Problem in Incompressible Elasticity. MATHEMATICAL METHODS IN THE APPLIED SCIENCES. 26:151-170. 2003
- Least Squares Methods for the Coupling of FEM and BEM. SIAM JOURNAL ON NUMERICAL ANALYSIS. 41(5):1974-1995. 2003
- On the Mixed Finite Element Method with Lagrange Multipliers. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. 19(2):192-210. 2003
- On the Numerical Analysis of Nonlinear Twofold Saddle Point Problems. IMA JOURNAL OF NUMERICAL ANALYSIS. 23:301-330. 2003
- A Mixed-FEM Formulation for Nonlinear Incompressible Elasticity in the Plane. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. 18(1):105-128. 2002
- A Preconditioned Minres Method for the Coupling of Mixed-FEM and BEM for Some Nonlinear Problems. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 24(2):572-596. 2002
- A posteriori error estimates for a Mixed-FEM formulation of a Non-Linear Elliptic Problem. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 191:2317-2336. 2002
- A-Posteriori error estimates for Linear Exterior Problems Via Mixed-FEM and DTN Mappings. M2AN. 36(2):241-272. 2002
- An a posteriori error estimate for a Linear-Nonlinear Transmission problem in Plane Elastostatics. CALCOLO. 39:61-86. 2002
- Solvability and Galerkin Approximations of a Class of Nonlinear Operator Equations. ZEITSCHRIFT FÜR ANALYSIS UND IHRE ANWENDUNGEN. 21(3):761-781. 2002
- A Domain Decomposition Method Based on BEM and FEM for Linear Exterior Boundary Value Problems. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 262:70-86. 2001
- A Dual-Dual Mixed Formulation for Nonlinear Exterior Transmission Problems. MATHEMATICS OF COMPUTATION. 70:1461-1480. 2001
- A Fully Discrete Galerkin Scheme for a Two-Fold Saddle Point Formulation of an Exterior Nonlinear Problem. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. 22(7&8):885-912. 2001
- A Mixed Finite Element Method for Nonlinear Elasticity: Two-Fold Saddle Point Approach and a-posteriori Error Estimate. NUMERISCHE MATHEMATIK. 2001
- An Expanded Mixed Finite Element Approach Via a Dual-Dual Formulation and the Minimum Residual Method. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 132:371-385. 2001
- An Implicit-Explicit Residual Error Estimator for the Coupling of Dual-Mixed Finite Elements and Boundary Elements in Elastostatics. MATHEMATICAL METHODS IN THE APPLIED SCIENCES. 24(3):179-191. 2001
- Conjugate Gradient Method for Dual-Dual Mixed Formulations. MATHEMATICS OF COMPUTATION. 71(240):1455-1472. 2001
- Minimum Residual Iteration for a Dual-Dual Mixed Formulation of Exterior Transmission Problems. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. 8:147-164. 2001
- A Dual-Dual Mixed Formulatin for Nonlinear Exterior. Transmission Problems. MATHEMATICS OF COMPUTATION. S-025-5718:1267. 2000
- A Primal Mixed Formulation for Exterior Transmission Promblems in R2". NUMERISCHE MATHEMATIK. 2000
- An Application of Babuska-Brezzi's Theory to a Class of Variational Problems. APPLICABLE ANALYSIS. 75(3-4):297-303. 2000
- Variational Formulations of Transmission Problems via FEM, BEM and DtN Mappings. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 182:341-354. 2000
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libro
Contacto
nombre completo
- Gabriel Nibaldo Gatica Pérez
correos electrónicos adicionales
- ggatica@udec.cl
red de Coautor
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