Cursos que dicta
Pregrado
- Cálculo I,
- Cálculo II
- Cálculo III
- Cálculo Numérico
- Ecuaciones Diferenciales
- Cálculo Complejo
- Álgebra I
Postgrado
- Análisis Funcional
- Teoría de Elementos Finitos
- Métodos de Elementos Finitos Mixtos
- Metodos de Galerkin discontinuos, Tópicos de Análisis de Error a Posteriori
- Tópicos de Análisis de Error a Posteriori
Líneas de investigación
- Análisis numérico de ecuaciones diferenciales parciales
- Macánica computacional
Publicaciones académicas
- Error Estimates for Velocity‐Pseudo‐Stress Formulation Applied to the Generalized Oseen Problem. International Journal for Numerical Methods in Fluids. https://doi.org/10.1002/fld.70070.
- An a posteriori error estimator of the Lamé equations considering nonhomogeneous Dirichlet boundary condition. Journal of Mathematical Analysis and Applications. https://doi.org/10.1016/j.jmaa.2025.129900.
- An a posteriori error estimator for an augmented variational formulation of the Brinkman problem with mixed boundary conditions and non-null source terms. Journal of Computational Physics. https://doi.org/10.1016/j.jcp.2025.114056.
- An a posteriori error analysis for an augmented discontinuous Galerkin method applied to Stokes problem. Numerical Methods for Partial Differential Equations. https://doi.org/10.1002/num.23100.
- A note on a posteriori error analysis for dual mixed methods with mixed boundary conditions. Numerical Methods for Partial Differential Equations. https://doi.org/10.1002/num.23029.
- An A Posteriori Error Estimator for a Non Homogeneous Dirichlet Problem Considering a Dual Mixed Formulation. Trends in Computational and Applied Mathematics. https://doi.org/10.5540/tcam.2022.023.03.00549.
- Numerical analysis of a stabilized scheme applied to incompressible elasticity problems with Dirichlet and with mixed boundary conditions. Advances in Computational Mathematics. https://doi.org/10.1007/s10444-022-09956-0.
- An a posteriori error estimate for a dual mixed method applied to Stokes system with non-null source terms. Advances in Computational Mathematics. https://doi.org/10.1007/s10444-021-09906-2.
- An a-priori error analysis for discontinuous Lagrangian finite elements applied to nonconforming dual-mixed formulations: Poisson and Stokes problems. ETNA - Electronic Transactions on Numerical Analysis. https://doi.org/10.1553/etna_vol52s455.
- A stabilized mixed method applied to Stokes system with nonhomogeneous source terms: The stationary case Dedicated to Prof. R. Rodríguez, on the occasion of his 65th birthday. International Journal for Numerical Methods in Fluids. https://doi.org/10.1002/fld.4793.
- On an adaptive stabilized mixed finite element method for the Oseen problem with mixed boundary conditions. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/j.cma.2020.113007.
- An a posteriori error analysis of a velocity–pseudostress formulation of the generalized Stokes problem. Journal of Computational and Applied Mathematics. https://doi.org/10.1016/j.cam.2019.02.019.
- New a posteriori error estimator for an stabilized mixed method applied to incompressible fluid flows. Applied Mathematics and Computation. https://doi.org/10.1016/j.amc.2019.01.020.
- A POSTERIORI ERROR ANALYSIS OF AN AUGMENTED DUAL-MIXED METHOD IN LINEAR ELASTICITY WITH MIXED BOUNDARY CONDITIONS. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING.
- Analysis of DG approximations for Stokes problem based on velocity‐pseudostress formulation. Numerical Methods for Partial Differential Equations. https://doi.org/10.1002/num.22152.
- Augmented mixed finite element method for the Oseen problem: A priori and a posteriori error analyses. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/j.cma.2016.09.012.
- A note on a priori error estimates for augmented mixed methods. Applied Mathematics Letters. https://doi.org/10.1016/j.aml.2016.01.014.
- Adaptive numerical solution of a discontinuous Galerkin method for a Helmholtz problem in low-frequency regime. Journal of Computational and Applied Mathematics. https://doi.org/10.1016/j.cam.2015.12.024.
- A posteriori error analysis of an augmented mixed finite element method for Darcy flow. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/j.cma.2014.10.035.
- A Posteriori Error Estimation of a Stabilized Mixed Finite Element Method for Darcy Flow. Lecture Notes in Computational Science and Engineering. https://doi.org/10.1007/978-3-319-25727-3_2.
- An a Posteriori Error Estimator for a New Stabilized Formulation of the Brinkman Problem. Lecture Notes in Computational Science and Engineering. https://doi.org/10.1007/978-3-319-10705-9_25.
- New a posteriori error estimator for an augmented mixed FEM in linear elasticity. Lecture Notes in Computational Science and Engineering. https://doi.org/10.1007/978-3-319-10705-9__26.
- New a Posteriori Error Estimator for an Augmented Mixed FEM in Linear Elasticity. Lecture Notes in Computational Science and Engineering. https://doi.org/10.1007/978-3-319-10705-9_26.
- Stabilised finite element methods for a bending moment formulation of the Reissner-Mindlin plate model. Calcolo. https://doi.org/10.1007/s10092-014-0120-1.
- An a posteriori error estimator for a new stabilized formulation of the Brinkman problem. Lecture Notes in Computational Science and Engineering. https://doi.org/10.1007/978-3-319-10705-9__25.
- Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity. Applied Numerical Mathematics. https://doi.org/10.1016/j.apnum.2014.05.008.
- An a posteriori error analysis of an augmented discontinuous Galerkin formulation for Darcy flow. Numerische Mathematik. https://doi.org/10.1007/s00211-011-0410-3.
- On stabilized mixed methods for generalized Stokes problem based on the velocity–pseudostress formulation: A priori error estimates. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/j.cma.2012.05.006.
- A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/j.cma.2010.07.016.
- A priori and a posteriori error analyses of an augmented discontinuous Galerkin formulation. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drn042.
- An Augmented DG Scheme for Porous Media Equations. Numerical Mathematics and Advanced Applications. https://doi.org/doi.org/10.1007/978-3-540-69777-0_37.
- APrioriand aPosterioriError Analysis of a Wavelet-Based Stabilization for the Mixed Finite Element Method. Numerical Functional Analysis and Optimization. https://doi.org/10.1080/01630560701249947.
- An augmented mixed finite element method with Lagrange multipliers: A priori and a posteriori error analyses. Journal of Computational and Applied Mathematics. https://doi.org/10.1016/j.cam.2006.01.017.
- An augmented discontinuous Galerkin method for elliptic problems. Comptes Rendus. Mathématique. https://doi.org/10.1016/j.crma.2006.11.003.
- A residual basedA POSTERIORIerror estimator for an augmented mixed finite element method in linear elasticity. ESAIM: Mathematical Modelling and Numerical Analysis. https://doi.org/10.1051/m2an:2006036.
- A wavelet-based stabilization of the mixed finite element method with Lagrange multipliers. Applied Mathematics Letters. https://doi.org/10.1016/j.aml.2005.04.007.
- On the numerical analysis of a nonlinear elliptic problem via mixed-FEM and Lagrange multipliers. Applied Numerical Mathematics. https://doi.org/10.1016/j.apnum.2003.08.001.
- A posteriori error estimates for a mixed-FEM formulation of a non-linear elliptic problem. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/S0045-7825(01)00414-5.