Introduccion al Analisis Funcional. Teoria y Aplicaciones.
Editorial Reverte, Barcelona Bogota Buenos Aires Caracas Mexico, 2014.[fe de erratas a la fecha]
with S. Carrasco and S. Caucao:
A twofold perturbed saddle point-based fully mixed finite element method for the coupled
Brinkman Forchheimer Darcy problem.
Preprint 2024-25, Centro de Investigacion en Ingenieria Matematica, Universidad de
Concepcion, (2024).
with S. Caucao and L.F. Gatica:
A posteriori error analysis of a mixed finite element method for
the stationary convective Brinkman--Forchheimer problem.
Preprint 2024-18, Centro de Investigacion en Ingenieria Matematica, Universidad de
Concepcion, (2024).
with M. Alvarez, G.A. Benavides, E. Henriquez and R. Ruiz-Baier:
Banach spaces-based mixed finite element methods for a steady sedimentation-consolidation system.
Preprint 2024-16, Centro de Investigacion en Ingenieria Matematica, Universidad de
Concepcion, (2024).
with C. Inzunza and R. Ruiz-Baier:
Primal-mixed finite element methods for the coupled Biot and Poisson-Nernst-Planck equations.
Preprint 2024-14, Centro de Investigacion en Ingenieria Matematica, Universidad de
Concepcion, (2024).
2025
with J. Careaga, C. Inzunza and R. Ruiz-Baier:
New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations.IMA Journal of Numerical Analysis,
https://doi.org/10.1093/imanum/drae052
with S. Caucao, S. Medrado and Y.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).
2024
with S. Caucao and J.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).
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).
with C.I. Correa, E. Henriquez, R. Ruiz-Baier and M. Solano:
Banach spaces-based mixed finite element methods for the coupled Navier--Stokes and Poisson--Nernst--Planck equations.Calcolo, vol. 61, article: 31, (2024).
with I. Bermudez, C.I. Correa and J.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).
with Z. 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).
2023
with N. Nunez and R. 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).
with S. Carrasco and S. Caucao:
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).
with S. Caucao and L.F. Gatica:
A Banach spaces-based mixed finite element method for the stationary convective
Brinkman-Forchheimer problem.Calcolo, vol. 60, 4, article: 51, (2023).
with C. Inzunza and F.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).
with J. Careaga:
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).
with S. Caucao, E. Colmenares and C. Inzunza:
A Banach spaces-based fully-mixed finite element method for the stationary
chemotaxis-Navier-Stokes problem.Computer and Mathematics with Applications, vol. 145, pp. 65-89, (2023).
with C.I. Correa and R. 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).
with N. Nunez and R. 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).
with S. Caucao and J.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).
2022
with C. Inzunza, R. Ruiz-Baier and F. 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).
with N. Heuer and S. Meddahi:
Numerical analysis & 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).
with E. Colmenares and J.C. 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).
with S. Meddahi and R. 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).
with A. Marquez and S. Meddahi:
A virtual marriage a la mode: some recent results on the coupling of VEM and BEM.
In: The Virtual Element Method and its Applications, (Eds. P. Antonietti, L. Beirao da Veiga,
and G. Manzini). SEMA SIMAI Springer series, vol 31, pp. 227-274, (2022). Springer, Cham
with S. Caucao, R. Oyarzua and P. Zuniga:
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).
with C. Inzunza and F. 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).
with C.I. Correa:
On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces.Computer and Mathematics with Applications, vol. 117, pp. 14-23, (2022).
with B. Gomez-Vargas and R. 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).
with G.A. Benavides, S. Caucao and A.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).
2021
with F. 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).
with S. Caucao and J.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).
with C. Inzunza:
On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible
Navier-Lame and Stokes equations.Computer and Mathematics with Applications, vol. 102, pp. 87-94, (2021).
with N. Barnafi, D. Hurtado, W. Miranda and R. 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).
with N. Barnafi, D. Hurtado, W. Miranda and R. Ruiz-Baier:
New primal and dual-mixed finite element methods for stable image registration with singular regularization.Mathematical Models and Methods in Applied Sciences,
vol. 31, 5, pp. 979-1020, (2021).
with G.C. Hsiao and S. 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).
with M. Munar and F. Sequeira:
A mixed virtual element method for the Boussinesq problem on polygonal meshes.Journal of Computational Mathematics,
vol. 39, 3, pp. 392-427, (2021).
with S. Caucao, R. Oyarzua and F. 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).
with S. Caucao and F. 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).
with E. Colmenares and W. 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).
with A. Marquez and S. Meddahi:
A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity.Calcolo, vol. 58, 1, article: 11, (2021).
with M. Alvarez and R. 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).
with R. Oyarzua, R. Ruiz-Baier and Y.D. Sobral:
Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model
of fluidized beds.Computer and Mathematics with Applications, vol. 84, pp. 244-276, (2021).
2020
with S. 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).
with S. Caucao, R. Oyarzua and N. Sanchez:
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).
with R. Oyarzua and N. Valenzuela:
A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem.Computer and Mathematics with Applications, vol. 80, 8, pp. 1944-1963, (2020).
with G.A. Benavides, S. Caucao and A.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).
with S. Caucao, M. Discacciati and R. Oyarzua:
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).
with E. Colmenares and S. 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).
with E. Colmenares, S. Moraga and R. 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).
with J. Almonacid, R. Oyarzua and R. 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).
A note on stable Helmholtz decompositions in 3D.Applicable Analysis, vol. 99, 7, pp. 1110-1121, (2020).
with J. Almonacid, H.S. Diaz and A. 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).
with J.A. Almonacid:
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).
with C. Inzunza:
An augmented fully-mixed finite element method for a coupled flow-transport problem.Calcolo, vol. 57, 1, article: 8, (2020).
with J. Almonacid and R. Ruiz-Baier:
Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics.Calcolo, vol. 57, 1, article: 2, (2020).
2019
with S. 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).
with M. Alvarez, B. Gomez-Vargas and R. 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).
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).
with J. Almonacid and R. Oyarzua:
A posteriori error analysis of a mixed-primal finite element method for
the Boussinesq problem with temperature-dependent viscosity.Journal of Scientific Computing, vol. 78, 2, pp. 887-917, (2019)
with B. Gomez-Vargas and R. Ruiz-Baier:
Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems.Computer and Mathematics with Applications, vol. 77, 5, pp. 1312-1330, (2019).
with E. Colmenares and R. Oyarzua:
A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model.Computer and Mathematics with Applications, vol. 77, 3, pp. 693-714, (2019).
with S. Caucao and R. Oyarzua:
A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd-Stokes problem.Numerical Methods for Partial Differential Equations, vol. 35, 1, pp. 295-324, (2019).
with E. Caceres and F.A. Sequeira:
A mixed virtual element method for a pseudostress-based formulation of linear elasticity.Applied Numerical Mathematics, vol. 135, pp. 423-442, (2019).
2018
with M. Munar and F.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).
with S. Caucao and R. Oyarzua:
Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations.ESAIM: Mathematical Modelling and Numerical Analysis, vol. 52, 5, pp. 1947-1980, (2018).
with N. Barnafi and D.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).
with J.A. Almonacid and R. Oyarzua:
A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity.Calcolo, vol. 55, 3, article: 36, (2018).
with M. Munar and F.A. Sequeira:
A mixed virtual element method for a nonlinear Brinkman model of porous media flow.Calcolo, vol. 55, 2, article: 21, (2018).
with B. Gomez-Vargas and R. 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).
with M. Alvarez and R. 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).
with E. Caceres and F.A. Sequeira:
A mixed virtual element method for quasi-Newtonian Stokes flows.SIAM Journal on Numerical Analysis, vol. 56, 1, pp. 317-343, (2018).
2017
with M. Alvarez and R. Ruiz-Baier:
A posteriori error analysis of a fully-mixed formulation for the Brinkman-Darcy problem.Calcolo, vol. 54, 4, pp. 1491-1519, (2017)
with C. Garcia, A. Marquez and S. 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).
with C. Garcia and S. 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).
with E. Colmenares and R. Oyarzua:
A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model.Calcolo, vol. 54, 3, pp. 1055-1095, (2017).
with C. Garcia and S. Meddahi:
A new mixed finite element method for elastodynamics with weak symmetry.Journal of Scientific Computing,
vol. 72, 3, pp. 1049-1079, (2017).
with J. Cama~no, R. Oyarzua and R. 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).
with S. Caucao, R. Oyarzua and I. 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).
with F. Sequeira:
Analysis of the HDG method for the Stokes-Darcy coupling.Numerical Methods for Partial Differential Equations, vol. 33, 3, pp. 885-917, (2017).
with E. Caceres and F. Sequeira:
A mixed virtual element method for the Brinkman problem.Mathematical Models and Methods in Applied Sciences, vol. 27, 4, pp. 707-743, (2017).
with E. Colmenares and R. Oyarzua:
An augmented fully-mixed finite element method for the stationary Boussinesq problem.Calcolo, vol. 54, 1, pp. 167-205, (2017).
with E. Caceres:
A mixed virtual element method for a pseudostress-velocity formulation of the Stokes problem.IMA Journal of Numerical Analysis, vol. 37, 1, pp. 296-331, (2017).
with S. Caucao and R. 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 Engineerig, vol. 315, pp. 943-971, (2017).
2016
with F. 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).
with R. Ruiz-Baier and G. Tierra:
A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity.Computer and Mathematics with Applications, vol. 72, 9, pp. 2289-2310, (2016).
with M. Alvarez and R. 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).
with S. Dominguez, A. Marquez and S. 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).
with M. Alvarez and R. 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)
with G.C. Hsiao, S. Meddahi and F.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).
with J. Cama~no, R. Oyarzua and G. 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).
with C. Garcia and S. Meddahi:
A new mixed finite element analysis of the elastodynamic equations.Applied Mathematics Letters, vol. 59, pp. 48-55, (2016).
with M. Alvarez and R. Ruiz-Baier:
A mixed-primal finite element approximation of a steady sedimentation-consolidation system.Mathematical Models and Methods in the Applied Sciences, vol. 26, 5, pp. 867-900, (2016).
with L.F. Gatica and F. Sequeira:
A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity.Computer and Mathematics with Applications, vol. 71, 2, pp. 585-614, (2016).
with E. Colmenares and R. 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).
with E. Colmenares and R. Oyarzua:
Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem.Comptes Rendus - Mathematique, vol. 354, 1, pp. 57-62, (2016).
with R. Ruiz-Baier and G. Tierra:
A mixed finite element method for Darcy's equations with pressure dependent porosity.Mathematics of Computation, vol. 85, 297, pp. 1-33, (2016).
with C. Dominguez and A. 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
with C. Dominguez and S. 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).
with F. 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).
with M. Alvarez and R. 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).
with V. Anaya, D. Mora and R. Ruiz-Baier:
An augmented velocity-vorticity-pressure formulation for the Brinkman equations.International Journal for Numerical Methods in Fluids, vol. 79, 3, pp. 109-137, (2015).
with J. Cama~no, R. Oyarzua, R. Ruiz-Baier
and P. 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).
with L.F. Gatica and F. 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).
with L.F. Gatica and F. 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
with N. Heuer and S. 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).
with A. Marquez and S. 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).
with L.F. Gatica and A. 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).
with A.I. Garralda-Guillem, A. Marquez
and 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).
with A. Marquez, R. Oyarzua, and R. 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
with A. Marquez
and 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).
with G.C. Hsiao, S. Meddahi and F.-J. Sayas:
On the dual-mixed formulation for an exterior Stokes problem.Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), vol. 93, 6-7, pp. 437-445, (2013).
with C. Dominguez, S. Meddahi and R. 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
with R. Oyarzua and F.-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).
with A. Marquez and S. Meddahi:
Analysis of the coupling of Lagrange and Arnold-Falk-Winther finite elements
for a fluid-solid interaction problem in 3D.SIAM Journal on Numerical Analysis, vol. 50, 3, pp. 1648-1674, (2012).
with S. 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).
with G.C. Hsiao and F.-J. Sayas:
Relaxing the hypotheses of the Bielak-MacCamy BEM-FEM coupling.Numerische Mathematik, vol. 120, 3, pp. 465-487, (2012).
with A. Marquez and M.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
with L.F. Gatica and A. 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).
with R. Oyarzua and F.-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).
with R. Oyarzua and F.-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).
with R. Oyarzua and F.-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).
with A. Marquez and M.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).
with M. Maischak and E.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
with G.C. Hsiao and S. 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).
with I. Babuska:
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).
with N. Heuer and F.-J. Sayas:
A direct coupling of local discontinuous Galerkin and boundary element methods.Mathematics of Computation, vol. 79, 271, pp. 1369-1394, (2010).
with A. Marquez and M.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
with G.C. Hsiao and S. 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).
with M. Healey and N. Heuer:
The boundary element method with Lagrangian multipliers.Numerical Methods for Partial Differential Equations, vol. 25, 6, pp. 1303-1319, (2009).
with A. Marquez and S. 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).
with A. Marquez and S. 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).
with A. Marquez and S. 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).
with S. Meddahi and R. 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).
2008
with L. Figueroa and A. Marquez:
Augmented mixed finite element methods for the stationary Stokes equations.SIAM Journal on Scientific Computing, vol. 31, 2, pp. 1082-1119, (2008).
with L.E. Figueroa and N. Heuer:
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, vol. 198, 2, pp. 280-291, (2008).
with R. Bustinza and F.-J. Sayas:
On the coupling of local discontinuous Galerkin and boundary element methods for nonlinear exterior transmission problems.IMA Journal of Numerical Analysis, vol. 28, 2, pp. 225-244, (2008).
with F.-J. Sayas:
Characterizing the inf-sup condition on product spaces.Numerische Mathematik, vol. 109, 2, pp. 209-231, (2008).
with A. Marquez and S. Meddahi:
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, vol. 197, 9-12, pp. 1115-1130, (2008).
2007
An augmented mixed finite element method for linear elasticity with non-homogeneous Dirichlet conditions.Electronic Transactions on Numerical Analysis, vol. 26, pp. 421-438, (2007).
with R. Bustinza and F.-J. Sayas:
A look at how LDG and BEM can be coupled. ESAIM Proceedings, vol. 21, pp. 88-97, (2007).
with A. Marquez and S. Meddahi:
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, vol. 45, 5, pp. 2072-2097, (2007).
with L.F. Gatica and E.P. Stephan:
A dual-mixed finite element method for nonlinear incompressible elasticity
with mixed boundary conditions. Computer Methods in Applied Mechanics and Engineering, vol. 196, 35-36, pp. 3348-3369, (2007).
with T.P. Barrios and F. Paiva:
A-priori and a-posteriori error analysis of a wavelet-based stabilization for the mixed finite element method.Numerical Functional Analysis and Optimization, vol. 28, 3-4, pp. 265-286, (2007).
with T.P. Barrios:
An augmented mixed finite element method with Lagrange multipliers:
a-priori and a-posteriori error analyses. Journal of Computational and Applied Mathematics,
vol. 200, 2, pp. 653-676, (2007).
2006
with T.P. Barrios, M. Gonzalez, and N. Heuer:
A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 40, 5, pp. 843-869, (2006).
with R. Bustinza and F.-J. Sayas:
A LDG-BEM coupling for a class of nonlinear exterior transmission problems.
In Numerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2005
(A. Bermúdez de Castro, D. Gómez, P. Quintela, and Pilar Salgado, eds.), pp. 1129-1136,
Springer Verlag, 2006.
with L.F. Gatica:
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, vol. 68, 8,
pp. 861-892, (2006).
with F.-J. Sayas:
An a-priori error analysis for the coupling of local
discontinuous Galerkin and boundary element methods. Mathematics of Computation,
vol. 75, 256, pp. 1675-1696, (2006).
Analysis of a new
augmented mixed finite element method for linear elasticity allowing
RT_0 - P_1 - P_0 approximations. ESAIM: Mathematical Modelling and Numerical
Analysis, vol. 40, 1, pp. 1-28, (2006).
with T.
Barrios and F. Paiva: A wavelet-based stabilization of the mixed finite element method
with Lagrange multipliers. Applied Mathematics Letters, vol. 19, 3, pp. 244-250, (2006).
with F.-J.
Sayas: A note on the local approximation properties of piecewise
polynomials with applications to LDG methods. Complex Variables and Elliptic Equations, vol. 51, 2, pp. 109-117, (2006).
2005
with R. Bustinza and M. Gonzalez:
A mixed finite element method for the generalized Stokes problem. International Journal for Numerical
Methods in Fluids, vol. 49, 8, pp. 877-903, (2005).
with S.
Meddahi: On the coupling of mixed-FEM and BEM for
an exterior Helmholtz problem in the plane. Numerische
Mathematik, vol. 100, 4, pp. 663-695, (2005).
with R.
Bustinza: A mixed local discontinuous Galerkin method for a class
of nonlinear problems in fluid mechanics. Journal of
Computational Physics, vol. 207, 2, pp. 427-456, (2005).
with M.
Maischak: A-posteriori error estimates
for the mixed finite element method with Lagrange multipliers.
Numerical Methods for Partial Differential Equations, vol.
21, 3, pp. 421-450, (2005).
with R.
Bustinza and B. Cockburn: An a-posteriori error estimate for the
local discontinuous
Galerkin method applied to linear and nonlinear diffusion problems. Journal of Scientific Computing, vol. 22, 1, pp. 147-185,
(2005).
with R.
Bustinza, M. Gonzalez, S. Meddahi and E.P. Stephan: Enriched finite
element subspaces for dual-dual mixed formulations in fluid mechanics
and elasticity. Computer Methods in Applied Mechanics and
Engineering, vol. 194, 2-5, pp. 427-439, (2005).
2004
A note on the
efficiency of residual-based a-posteriori error estimators for some
mixed finite element methods. Electronic Transactions on
Numerical Analysis, vol. 17, pp.
218-233, (2004).
with R. Bustinza: A
local discontinuous Galerkin
method for nonlinear diffusion problems with mixed boundary conditions.
SIAM Journal on Scientific Computing, vol. 26, 1, pp.
152-177, (2004).
with M. Barrientos,
R. Rodriguez and M.E. Torrejon: Analysis of a coupled BEM/FEM
eigensolver for the hydroelastic vibrations problem.
ESAIM: Mathematical Modelling and Numerical Analysis, vol. 38, 4,
pp. 653-672, (2004).
with M. Gonzalez
and S. Meddahi: 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, vol.
193, 9-11, pp. 893-911, (2004).
with M. Gonzalez
and S. Meddahi: A low-order mixed
finite element method for a class of quasi-Newtonian Stokes flows. Part
I:
a-priori error analysis. Computer Methods in Applied Mechanics
and Engineering, vol.
193, 9-11, pp. 881-892, (2004).
with R. Bustinza
and G. Garcia: A mixed finite
element method with Lagrange multipliers for nonlinear exterior
transmission
problems. Numerische Mathematik, vol. 96, 3, pp. 481-523,
(2004).
with T.P. Barrios and L.F. Gatica: On
the numerical
analysis of a nonlinear elliptic problem via mixed-FEM and Lagrange
multipliers.Applied Numerical Mathematics, vol. 48, 2, pp.
135-155,
(2004).
2003
with H. Harbrecht and R.
Schneider: Least
squares methods for the coupling of FEM and BEM.SIAM Journal
on Numerical Analysis, vol. 41, 5, pp.
1974-1995, (2003).
with N. Heuer and S. Meddahi: On
the numerical
analysis of nonlinear two-fold saddle point problems. IMA
Journal
of Numerical Analysis, vol. 23, 2, pp. 301-330, (2003).
with I. Babuska: On the mixed
finite element
method with Lagrange multipliers. Numerical Methods for Partial
Differential Equations, vol. 19, 2, pp. 192-210, (2003).
with L.F. Gatica and E.P. Stephan: A
FEM-DtN formulation
for a nonlinear exterior problem in incompressible elasticity. Mathematical
Methods in the Applied Sciences, vol. 26, 2, pp. 151-170,
(2003).
2002
with N. Heuer: A preconditioned
MINRES method
for the coupling of mixed-FEM and BEM for some nonlinear problems. SIAM
Journal on Scientific Computing, vol. 24, 2, pp.
572-596,
(2002).
with M. Barrientos and N. Heuer: An
a-posteriori
error estimate for a linear-nonlinear transmission problem in plane
elastostatics. Calcolo, vol.
39, 2, pp. 61-86, (2002).
Solvability and Galerkin approximation
of a class
of nonlinear operator equations. Zeitschrif fur Analysis und
ihre
Anwendungen, vol. 21, 3, pp. 761-781, (2002).
with N. Heuer: Conjugate gradient
method for dual-dual
mixed formulations. Mathematics of Computation, vol.
71, 240, pp. 1455-1472, (2002) .
with M.A. Barrientos and M. Maischak: A-posteriori
error estimates for linear exterior problems via mixed-FEM and DtN
mappings. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 36, 2,
pp.
241-272, (2002).
with M. A. Barrientos and E.P. Stephan: A
mixed
finite element method for nonlinear elasticity: two-fold saddle point
approach
and a-posteriori error estimate. Numerische Mathematik,
vol.
91, 2, pp. 197-222, (2002).
with R.A. Araya, T.P. Barrios and
N. Heuer: A-posteriori
error estimates for a mixed-FEM formulation of a nonlinear
elliptic problem. Computer Methods in Applied Mechanics and
Engineering, vol.
191, 21-22, pp. 2317-2336, (2002).
with E.P. Stephan: A mixed-FEM
formulation for
nonlinear incompressible elasticity in the plane.Numerical
Methods for Partial Differential Equations, vol. 18, 1,
pp. 105-128, (2002).
2001
with N. Heuer: Minimum residual
iteration for
a dual-dual mixed formulation of exterior transmission problems. Numerical
Linear Algebra with Applications, vol. 8, 3, pp. 147-164, (2001).
with N. Heuer and E.P. Stephan: 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, vol. 24, 3, pp. 179-191, (2001).
with G.R. Barrenechea: A primal mixed
formulation
for exterior transmission problems in R². Numerische
Mathematik, vol.
88, 2, pp. 237-253, (2001).
with N. Heuer: An expanded mixed
finite element
approach via a dual-dual formulation and the minimum residual method. Journal
of Computational and Applied Mathematics, vol. 132, 2,
pp. 371-385, (2001).
with S. Meddahi: A dual-dual mixed
formulation
for nonlinear exterior transmission problems. Mathematics of
Computation, vol.
70, 236, pp. 1461-1480, (2001).
with G.C. Hsiao and M.E. Mellado: A
domain decomposition
method based on BEM and FEM for linear exterior boundary value
problems. Journal
of Mathematical Analysis and Applications, vol.
262,
1, pp. 70-86, (2001).
with S. Meddahi: A fully
discrete
Galerkin scheme for a two-fold saddle point formulation of an exterior
nonlinear problem. Numerical Functional Analysis and
Optimization, vol.
22, 7&8, pp. 885-912, (2001).
2000
An application of Babuska-Brezzi's
theory to a
class of variational problems. Applicable Analysis, vol.
75,
3-4, pp. 297-303, (2000).
with N. Heuer: A dual-dual
formulation for the
coupling of mixed-FEM and BEM in hyperelasticity. SIAM Journal
on
Numerical Analysis, vol. 38, 2, pp. 380-400, (2000).
Variational formulations of
transmission problems
via FEM, BEM and DtN mappings. Computer Methods in Applied
Mechanics
and Engineering, vol. 182, 3-4, pp. 341-354, (2000).
1999
Algunos aspectos basicos del metodo de
elementos
finitos. Cubo Matematica Educacional, vol. 1, 1, pp.
129-162,
(1999).
with S. Meddahi: An a-posteriori
error estimate
for the coupling of BEM and mixed-FEM. Numerical Functional
Analysis
and Optimization, vol. 20, 5&6, pp. 449-472, (1999).
1998
Coupled variational formulations for
transmission
problems. In: Proceedings of the Fourth World Congress on
Computational
Mechanics, Buenos Aires, Argentina, june 29 - july 2, 1998, S.
Idelsohn
and E. Onate (Editors), CIMNE, Barcelona, (1998).
with M.E. Mellado: Nonoverlapping
domain decomposition
methods for linear and nonlinear exterior boundary value problems.
In: Proceedings of the Fourth World Congress on Computational
Mechanics,
Buenos Aires, Argentina, june 29 - july 2, 1998, S. Idelsohn and E.
Onate
(Editors), CIMNE, Barcelona, (1998).
with G.R. Barrenechea and G.C. Hsiao: Weak
solvability
of interior transmission problems via mixed finite elements and
Dirichlet-to-Neumann
mappings. Journal of Computational and Applied Mathematics, vol.
100, 2, pp. 145-160, (1998).
with E. Hernandez and M. Mellado: A
domain decomposition
method for linear exterior boundary value problems. Applied
Mathematics
Letters, vol. 11, 6, pp. 1-9, (1998).
with G.R. Barrenechea and M.A.
Barrientos: On
the numerical analysis of finite element and Dirichlet-to-Neumann
methods
for nonlinear exterior transmission problems. Numerical
Functional
Analysis and Optimization, vol. 19, 7&8, pp. 705-735, (1998).
with G.R. Barrenechea and J.-M. Thomas: Primal
mixed formulations for the coupling of FEM and BEM. Part I: linear
problems. Numerical Functional Analysis and Optimization, vol.
19, 1&2, pp. 7-32, (1998).
with M.E. Mellado : On the numerical
solution
of linear exterior problems via the uncoupling method.
International
Journal for Numerical Methods in Engineering, vol. 41, 2, pp.
233-251,
(1998).
1997
con L. Quiroz: Una formulacion
hibrida para la
conexion no conforme de mallas de elementos finitos. Anales de
Ingenieria
Mecanica, Revista de la Asociacion Espanola de Ingenieria Mecanica. J.
Tarrago, J. Canales and J.L. Alvarez (eds.), 11, vol. 3, pp. 503-510,
(1997).
with W. L. Wendland: On the coupling
of mixed
finite element and boundary integral methods for a nonlinear elasticity
problem. In: Proceedings of the IABEM Symposium on Boundary
Integral
Methods for Nonlinear Problems, Siena, Italy, may 28 - june 3,
1995,
L. Morino and W. Wendland (Eds.), pp. 75-80, Kluwer Academic
Publishers,
(1997).
Combination of mixed finite element
and Dirichlet-to-Neumann
methods in nonlinear plane elasticity. Applied
Mathematics Letters, vol. 10, 6, pp. 29-35, (1997).
with W.L. Wendland: Coupling of mixed
finite elements
and boundary elements for a hyperelastic interface problem. SIAM
Journal on Numerical Analysis, vol. 34, 6, pp. 2335-2356, (1997).
1996
with L. Quiroz: Fundamentacion
matematica de la
conexion no-conforme de mallas de elementos finitos mediante una
formulacion
hibrida. Proceedings del V Congreso Argentino de Mecanica
Computacional
(MECOM 1996), Tucuman, Argentina. Mecanica Computacional, vol.
16, pp. 153-160, (1996).
with W.L. Wendland: Coupling of mixed
finite elements
and boundary elements for linear and nonlinear elliptic problems. Applicable
Analysis, vol. 63, pp. 39-75, (1996).
with W.L. Wendland: Coupling of mixed
finite elements
and boundary elements in potential theory and elastostatics. Zeitschrift
fur Angewandte Mathematik und Mechanik, vol. 75, S2, pp. 525-526,
(1996).
with G.R. Barrenechea: On the
coupling of boundary
integral and finite element methods with nonlinear transmission
conditions. Applicable
Analysis, vol. 62, pp. 181-210, (1996).
with R.A. Araya and H. Mennickent: A
boundary-field
equation method for a nonlinear exterior elasticity problem in the
plane.Journal
of Elasticity, vol. 43, 1, pp. 45-68, (1996).
1995
with G.C. Hsiao: The uncoupling of
boundary integral
and finite element methods for nonlinear boundary value problems. Journal
of Mathematical Analysis and Applications, vol. 189, 1, pp.
442-461,
(1995).
On an alternative variational
formulation for
the Johnson & Nedelec's coupling procedure.Revista de
Matematicas
Aplicadas, vol. 16, 1, pp. 17-41, (1995).
1993 - 1994
with R.A. Araya: A new
Petrov-Galerkin scheme
for the two-point boundary value problem. Proyecciones,
vol.
13, 2, pp. 63-84, (1994).
with G.C. Hsiao: A Garding's
inequality for variational
problems with constraints. Applicable Analysis, vol. 54,
1-2,
pp. 73-90, (1994).
with R.A. Araya: A new nonconforming
Galerkin
scheme for the Stokes problem: partially circumventing the discrete
Babuska-Brezzi
condition. Computer Methods in Applied Mechanics and
Engineering,
vol. 107, pp. 193-208, (1993).
1991 - 1992
On the coupling of boundary integral
and finite
element methods. In: Numerical Methods in Engineering and
Applied
Sciences , H. Alder et al. (Eds.), Part I, pp. 158-167, 1992.
with G.C. Hsiao: The coupling of
boundary integral
and finite element methods for nonmonotone nonlinear problems. Numerical
Functional Analysis and Optimization, vol. 13, 5&6, pp.
431-447,
(1992).
with G.C. Hsiao: On the coupled BEM
and FEM for
a nonlinear exterior Dirichlet problem in the plane. Numerische
Mathematik, vol. 61, 2, pp. 171-214, (1992).
On the coerciveness property of the
biharmonic
operator. Proyecciones, vol. 10, 17, pp. 27-34, (1991).
1990
An equivalent formulation for
variational problems
with constraints. Proyecciones, vol. 8/9, 16, pp. 17-39,
(1990).
with G.C. Hsiao: On a class of
variational formulations
for some nonlinear interface problems. Rendiconti di Matematica
e delle sue Applicazione, vol. 10, 4, pp. 681-715, (1990).
A Galerkin method with smoothing. Journal
of Approximation Theory, vol. 61, 3, pp. 371-383, (1990).
1988
- 1989
with G.C. Hsiao: The coupling of
boundary element
and finite element methods for a nonlinear exterior boundary value
problem. Zeitschrift
fur Analysis und ihre Anwendungen, vol. 8, 4, pp. 377-387, (1989).
A note on the a-posteriori error
analysis for
the finite element method.SIAM Journal on Numerical Analysis,
vol. 25, 1, pp. 41-45, (1988).
1987
Estimadores de error a-posteriori para
el metodo
de elementos finitos. Proyecciones, vol. 13, pp. 73-86,
(1987).
con P. Basso: Una generalizacion del
metodo de
biseccion al caso de funciones con varias raices. Revista de
Matematicas
Aplicadas, vol. 9, 1, pp. 8-21, (1987).
Some improvements of the finite
element solution
for one-dimensional problems. International Journal for
Numerical
Methods in Engineering, vol. 24, 5, pp. 993-1014, (1987).
An extension on the a-posteriori error
analysis
for the finite element method. Extracta Mathematicae, vol.
2,
1, pp. 17-19, (1987).
1984 - 1985
con E. Henriquez: Resolucion numerica
de sistemas
nolineales mediante curvas de homotopia. Proyecciones, vol.
9, pp. 75-131, (1985).
Estimadores de error y optimizacion de
mallas
en el metodo de elementos finitos.Proyecciones, vol. 9,
pp.
11-58, (1985).
Un algoritmo convergente para localizar
todas
las raices de una funcion Lipschitz-Continua. Proyecciones,
vol. 7, pp. 69-96, (1984).