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Publications by Antonio Huerta

2023

Benchmarking the face-centred finite volume method for compressible laminar flows
J. Vila-Pérez; M. Giacomini and A. Huerta
International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33, Issue 6, pp. 2198-2231, 2023

2022

A non-oscillatory face-centred finite volume method for compressible flows
Vila-Pérez, J.; Giacomini, M.; Sevilla, R. and Huerta, A.
Computers and Fluids, Vol. 235, Article number: 105272, 2022

Parametric solutions of turbulent incompressible flows in OpenFOAM via the proper generalised decomposition
Tsiolakis, V.; Giacomini, M.; Sevilla, R.; Othmer, C.; Huerta, A.
Journal of Computational Physics, Vol. 449, Article number: 110802, 2022

2021

Separated response surfaces for flows in parametrised domains: comparison of a priori and a posteriori PGD algorithms
Giacomini, M.; Borchini, L.; Sevilla, R. and Huerta, A.
Finite Elements in Analysis and Design, Vol. 196, Article number: 103530, 2021

HDGlab: An open-source implementation of the hybridisable discontinuous Galerkin method in MATLAB
Giacomini, M.; Sevilla, R. and Huerta, A.
Archives of Computational Methods in Engineering, Vol. 28, Issue 3, pp. 1941-1986, 2021

Hybridisable discontinuous Galerkin formulation of compressible flows
Vila-Pérez, J.; Giacomini, M.; Sevilla, R. and Huerta, A.
Archives of Computational Methods in Engineering, Vol. 28, Issue 2, pp. 753-784, 2021

2020

A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems
La Spina, A., Kronbichler, M., Giacomini, M., Wall, W.A. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 372, Article number: 113392, 2020

Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows
Sevilla, R., Borchini, L., Giacomini, M. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 372, Article number: 113397, 2020

Encapsulated PGD Algebraic Toolbox Operating with High‑Dimensional Data
Díez, P., Zlotnik, S., García‑González, A., and Huerta, A.
Archives of Computational Methods in Engineering, Vol. 27, issue 5, pp. 1321-1336, 2020

A staggered high-dimensional Proper Generalised Decomposition for coupled magneto-mechanical problems with application to MRI scanners
Barroso, G., Seoane, M., Gil, A.J., Ledger, P.D., Mallett, M. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 370, Article number: 113271, 2020

Reshaping diagrams for bending straightening of forged aeronautical components
Mena, R., Aguado, J.V., Guinard, S. and Huerta, A.
International Journal of Advanced Manufacturing Technology, Vol. 110, issue 5-6, pp. 1485-1502, 2020

Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM
Tsiolakis, V., Giacomini, M., Sevilla, R., Othmer, C., and Huerta, A.
Computer Physics Communications, Vol. 249, Article number: 107013, 2020

Fast solution of elliptic harbor agitation problems under frequency-direction input spectra by model order reduction and NURBS-enhanced FEM
Modesto, D., Ye, B., Zlotnik, S. and Huerta, A.
Coastal Engineering, Vol. 156, Article number: 103618, 2020

Tutorial on Hybridizable Discontinuous Galerkin (HDG) Formulation for Incompressible Flow Problems
Giacomini, M., Sevilla, R., and Huerta, A.
Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids, Vol. 599, pp. 163-201, 2020

Hybrid coupling of CG and HDG discretizations based on Nitsche’s method
La Spina, A., Giacomini, M., and Huerta, A.
Computational Mechanics, Vol. 65, Issue 2, pp. 311-330, 2020

Solution of geometrically parametrised problems within a CAD environment via model order reduction
Sevilla, R., Zlotnik, S. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 358, Article number: 112631, 2020

A second-order face-centred finite volume method for elliptic problems
Vieira, L. M., Giacomini, M., Sevilla, R., and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 358, Article number: 112655, 2020

A regularised-adaptive Proper Generalised Decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners
Barroso, G., Gil, A.J., Ledger, P.D., Mallett, M. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 358, Article number: 112640, 2020

2019

Multiscale Proper Generalized Decomposition based on the Partition of Unity
Ibanez, R., Ammar, A., Cueto, E., Huerta, A., Duval, J.-L., and Chinesta, F.
International Journal for Numerical Methods in Engineering, Vol. 120, Issue 6, pp. 727-747, 2019

A local multiple Proper Generalized Decomposition based on the Partition of Unity
Ibáñez, R., Abisset-Chavanne, E., Chinesta, F., Huerta, A., and Cueto, E.
International Journal for Numerical Methods in Engineering, Vol. 120, Issue 2, pp. 139-152, 2019

Tensor representation of non-linear models using cross approximations
Aguado, J.V., Borzacchiello, D., Kollepara, K.S., Chinesta, F., and Huerta, A.
Journal of Scientific Computing, Vol. 81, Issue 1, pp. 22-47, 2019

A simple microstructural viscoelastic model for flowing foams
Ibáñez, R., Scheuer, A., Abisset-Chavanne, E., Chinesta, F., Huerta, A. and Keunings, R.
International Journal of Material Forming, Vol. 12, Issue 2, pp. 295-306, 2019

A locking-free face-centred finite volume (FCFV) method for linear elastostatics
Sevilla, R., Giacomini, M. and Huerta, A.
Computers and Structures, Vol. 212, pp. 43-57, 2019

2018

HDG-NEFEM with degree adaptivity for Stokes flows
Sevilla, R. and Huerta A.
Journal of Scientific Computing, Vol. 77, Issue 3, pp. 1953-1980, 2018

A superconvergent HDG method for Stokes flow with strongly enforced symmetry of the stress tensor
Giacomini, M., Karkoulias, A., Sevilla, R. and Huerta A.
Journal of Scientific Computing, Vol. 77, Issue 3, pp. 1679-1702, 2018

A multi-dimensional data-driven sparse identification technique: the sparse Proper Generalized Decomposition
Ibáñez, R., Abisset-Chavanne, E., Ammar, A., González, D., Cueto, E., Huerta, A., Duval, J.-L., and Chinesta, F.
Complexity, Vol. 2018, 11 pages, Article number: 5608286, 2018

A superconvergent hybridisable discontinuous Galerkin method for linear elasticity
Sevilla, R.; Giacomini, M.; Karkoulias, A. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 116, Issue 2, pp. 91-116, 2018

An upwind cell centred Total Lagrangian finite volume algorithm for nearly incompressible explicit fast solid dynamic applications
Haider, J.; Lee, C.H; Gil, A.J.; Huerta, A. and Bonet, J.
Computer Methods in Applied Mechanics and Engineering, Vol. 340, pp. 684-727, 2018

A face-centred finite volume method for second-order elliptic problems
Sevilla, R.; Giacomini, M. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 115, Issue 8, pp. 986-1014, 2018

Algebraic PGD for tensor separation and compression: an algorithmic approach
Díez, P., Zlotnik, S., García-González, A., Huerta, A.
Comptes rendus – Mécanique, Vol. 346, Issue 7, pp. 501-514, 2018

Proper Generalized Decomposition solutions within a Domain Decomposition strategy
Huerta, A., Nadal, E., and Chinesta F.
International Journal for Numerical Methods in Engineering, Vol. 113, Issue 13, pp. 1972-1994, 2018

2017

Arbitrary Lagrangian–Eulerian Methods
Donea, J., Huerta, A., Ponthot, J.-P., and Rodríguez-Ferran, A.
Encyclopedia of Computational Mechanics Second Edition, Vol. 1 Fundamentals, Chapter 10, pp. 1-23, 2017

Meshfree Methods
Huerta, A., Belytschko, T., Fernández-Méndez, S., Rabczuk, T., Zhuang, X., and Arroyo, M.
Encyclopedia of Computational Mechanics Second Edition, Vol. 2 Fundamentals, Chapter 3, pp. 1-38, 2017

Model Reduction Methods
Chinesta, F., Huerta, A., Rozza, G., and Willcox, K.
Encyclopedia of Computational Mechanics Second Edition, Vol. 1 Solids and Structures, Chapter 3, pp. 1-36, 2017

Generalized parametric solutions in Stokes flow
Díez, P., Zlotnik, S. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 326, pp. 223-240, 2017

Simulating Squeeze Flows in Multiaxial Laminates: Towards Fully 3D Mixed Formulations
Ibáñez, R., Abisset-Chavanne, E., Chinesta, F. and Huerta, A.
International Journal of Material Forming, Vol. 10, Issue 5, pp. 653-669, 2017

2016

Vademecum-based GFEM (V-GFEM): Optimal Enrichment for transient problems
Canales, D., Leygue, A., Chinesta, F., González, D., Cueto, E., Feulvarch, E., Bergheau, J.M., and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 108, Issue 9, pp. 971-989, 2016

Real-time simulation techniques for augmented learning in science and engineering
Quesada, C.; González, D.; Alfaro, I.; Cueto, E.; Huerta, A.; and Chinesta, F.
The Visual Computer, Vol. 32, Issue 11, pp. 1465-1479, 2016

Elliptic Harbor Wave Model with Perfectly Matched Layer and Exterior Bathymetry Effects
Modesto, D., Fernández-Méndez, S., and Huerta, A.
Journal of Waterway, Port, Coastal, and Ocean Engineering, Vol. 142, Issue 5, Article number: 4016008, 2016

Space-time NURBS-enhanced finite elements for free-surface flows in 2D
Stavrev, A., Knechtges, P., Elgeti, S., and Huerta A.
International Journal for Numerical Methods in Fluids, Vol. 81, Issue 7, pp. 426-450, 2016

Tutorial on Hybridizable Discontinuous Galerkin (HDG) for Second-Order Elliptic Problems
Sevilla, R. and Huerta. A.
Advanced Finite Element Technologies, Springer International Publishing, Vol. 566, pp. 105-129, 2016

2015

Effect of the separated approximation of input data in the accuracy of the resulting PGD solution
Zlotnik, S.; Díez, P.; González, D,; Cueto, E. and Huerta, A.
Advanced Modeling and Simulation in Engineering Sciences, Vol. 2, Article number: 28, 2015

Proper Generalized Decomposition for parameterized Helmholtz problems in heterogeneous and unbounded domains: application to harbor agitation
Modesto, D., Zlotnik, S. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 295, pp. 127-149, 2015

Proper Generalized Decomposition of a geometrically parametrized heat problem with geophysical applications
S. Zlotnik, P. Díez, D. Modesto and A. Huerta
International Journal for Numerical Methods in Engineering, Vol. 103, Issue 10, pp. 737-758, 2015

Real-time monitoring of thermal processes by reduced order modeling
J.V. Aguado, A. Huerta, F. Chinesta and E. Cueto
International Journal for Numerical Methods in Engineering, Vol. 102, Issue 5, pp. 991-1017, 2015

2014

Hybridizable Discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations
Giorgiani G., Fernández-Méndez S., Huerta A.
Computers and Fluids, Vol. 98, pp. 196-208, 2014

On the natural stabilization of convection dominated problems using high order Bubnov-Galerkin finite elements
Cai, Q.; Kollmannsberger, S.; Sala-Lardies, E.; Huerta, A. and Rank, E.
Computers and Mathematics with Applications, Vol. 66, Issue 12, pp. 2545-2558, 2014

Parametric solutions involving geometry: a step towards efficient shape optimization
Ammar, A.; Huerta, A.; Chinesta, F. ; Cueto, E. and Leygue, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 268, pp. 178-193, 2014

2013

High-order continuous and discontinuous Galerkin methods for wave problems
Giorgiani, G.; Modesto, D.; Fernández-Méndez, S. and Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 73, Issue 10, pp. 883-903, 2013

Efficiency of high-order elements for continuous and discontinuous Galerkin methods
Huerta, A.; Angeloski, A.; Roca, X. and Peraire, J.
International Journal for Numerical Methods in Engineering, Vol. 96, Num: 9, pp. 529-560, 2013

SUPG-based stabilization of Proper Generalized Decompositions for the high-dimensional Advection-Diffusion Equations
Gonzalez, D.; Cueto, E.; Chinesta, F; Díez, P.; and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 94, Issue: 13, pp. 1216-1232, 2013

Stability of anchored sheet wall in cohesive-frictional soils by FE limit analysis
Muñoz, J. J.; Lyamin, A. and Huerta, A.
International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 37, Number 9, pp. 1213-1230, 2013

Hybridizable Discontinuous Galerkin p-adaptivity for wave propagation problems
Giorgiani, G.; Fernández-Méndez, S.; and Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 72, Num: 12, pp. 1244-1262, 2013

PGD-Based Computational Vademecum for Efficient Design, Optimization and Control
Chinesta, F.; Leygue, A.; Bordeu, F.; Aguado, J.V.; Cueto, E.; González, D.; Alfaro, I.; Ammar, A. and Huerta, A.
Archives of Computational Methods in Engineering, Vol. 20, Issue 1, pp. 31-59, 2013

One-dimensional shock-capturing for high-order Discontinuous Galerkin methods
Casoni, E.; Peraire, J. and Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 71, Iss. 6, pp. 737-755, 2013

Computable exact bounds for linear outputs from stabilized solutions of the advection-diffusion-reaction equation
Parés, N.; Díez, P. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 93, Num. 5, pp. 483-509, 2013

Dimensionless analysis of HSDM and application to simulation of breakthrough curves of highly adsorbent porous media
Pérez-Foguet, A.; Casoni, E.; and Huerta, A.
ASCE Journal of Environmental Engineering, Vol. 139, Number 5, pp. 667-676, 2013

2012

Un método de captura de choques basado en las funciones de forma para Galerkin discontinuo de alto orden
Casoni, E.; Peraire, J., and Huerta, A.
Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, Vol. 28, Issue 4, pp. 204-213, 2012

Are High-order and Hybridizable Discontinuous Galerkin methods competitive?
Huerta, A.; Roca, X.; Aleksandar, A. and Peraire, J.
Oberwolfach Reports, Vol. 9, Number: 1, pp. 485-487, 2012

Estimation of crack opening from a two-dimensional continuum-based finite element computation
Dufour, F.; Legrain, G.; Pijaudier-Cabot, G. and Huerta, A.
International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 36, Iss. 16, pp. 1813-1830, 2012

High-order implicit time integration for unsteady incompressible flows
Montlaur, A.; Fernández-Méndez, S. and Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 70, Issue 5, pp. 603-626, 2012

A note on upper bound formulations in limit analysis
Muñoz, J. J.; Huerta, A.; Bonet, J. and J. Peraire
International Journal for Numerical Methods in Engineering, Vol. 91, Iss. 8, pp. 896-908, 2012

A simple shock-capturing technique for high-order discontinuous Galerkin methods
Huerta, A.; Casoni, E. and Peraire, J.
International Journal for Numerical Methods in Fluids, Vol. 69, Iss. 10, pp. 1614-1632, 2012

Proper Generalized Decomposition Based Dynamic Data-Driven Control of Material Forming Processes
Ghnatios, C.; Masson, F.; Huerta, A.; Leygue, A.; Cueto, E. and Chinesta, F.
Computer Methods in Applied Mechanics and Engineering, Vol. 213-216, pp. 29-41, 2012

2011

3D NURBS-Enhanced Finite Element Method (NEFEM)
Sevilla, R;, Fernandez-Mendez, S. and Huerta A.
International Journal for Numerical Methods in Engineering, Vol. 88, Issue 2, pp. 103-125, 2011

NURBS-Enhanced Finite Element Method (NEFEM). A Seamless Bridge Between CAD and FEM
Sevilla, R.; Fernández-Méndez, S. and Huerta, A.
Archives of Computational Methods in Engineering, Vol. 18, Issue 4, pp. 441-484, 2011

Comparison of high-order curved finite elements
Sevilla, R.; Fernandez-Mendez, S. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 87, Issue 8, pp. 719-734, 2011

Métodos Runge-Kutta Implícitos de alto orden para flujo incompresible
Montlaur, A.; Fernández-Méndez, S. and Huerta A.
Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, Vol. 27, Issue 1, pp. 77-91, 2011

2010

Error Estimation and Quality Control
Diez, P.; Parés, N. and Huerta, A.
Encyclopedia of Aerospace Engineering, Wiley, Vol. 3, Part 15, Chapter 144, pp. 1725-1734, 2010

Discontinuous Galerkin methods for the Navier-Stokes equations using solenoidal approximations
Montlaur, A.; Fernandez-Mendez,S.; Peraire, J. and Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 64, Issue 5, pp. 549-564, 2010

A flux-free a posteriori error estimator for the incompressible Stokes problem using a mixed FE formulation
Larsson, F; Díez, P and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 199, pp. 2383-2402, 2010

Modeling, with a unified level-set representation, of the expansion of a hollow in the ground under different physical phenomena
Cottereau, R; Díez, P and Huerta, A
Computational Mechanics, Vol. 42, Issue 2, pp. 315-327, 2010

A new least-squares approximation of affine mappings for sweep algorithms
Roca, X., Sarrate, J and Huerta, A.
Engineering with Computers, Vol. 26, Issue 3, pp. 327-337, 2010

An error estimator for separated representations of highly multidimensional models
Ammar A; Chinesta F; Díez, P and Huerta, A
Computer Methods in Applied Mechanics and Engineering, Vol. 199, Issues 25-28, pp. 1872-1880, 2010

SUPG-based stabilization using a separated representations approach
González, D.; Debeugny, L.; Cueto, E.; Chinesta, F.; Díez, P. and Huerta, A.
International Journal of Material Forming, Vol. 3, pp. 883-886, 2010

2009

Exact bounds for linear outputs of the advection-diffusion-reaction equation using flux-free error estimates
Parés, N., Díez, P., Huerta, A.
Journal on Scientific Computing (SIAM), Vol. 31, Issue 4, pp. 3064-3089, 2009

Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free method
Cottereau, R; Díez, P and Huerta, A
Computational Mechanics, Vol. 44, Issue 4, pp. 533-547, 2009

Upper and lower bounds in limit analysis: adaptive meshing strategies and discontinuous loading
Muñoz, J.J., Bonet, J., Huerta, A., Peraire, J.
International Journal for Numerical Methods in Engineering, Vol. 77, Issue 4, pp. 471-501, 2009

2008

Bounds for quantities of interest and adaptivity in the Element Free Galerkin method
Vidal, Y., Parés, N., Díez, P., Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 76, Issue 11, pp. 1782-1818, 2008

Extraction of a crack opening from a continuous approach using regularized damage models
Dufour, F., Pijaudier-Cabot, G., Choinska, M. and Huerta, A.
Computers and Concrete, Vol. Vol. 5, Issue 4, pp. 375-388, 2008

NURBS-Enhanced Finite Element Method (NEFEM)
Sevilla, R., Fernandez-Mendez, S., Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 76, Issue 1, pp. 56-83, 2008

NURBS-Enhanced Finite Element Method for Euler equations
Sevilla, R., Fernandez-Mendez, S., Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 57, Issue 9, pp. 1051-1069, 2008

Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations
Montlaur, A., Fernández-Méndez, S., Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 57, Issue 9, pp. 1071-1092, 2008

Stability of incompressible formulations enriched with X-FEM
G. Legrain, N. Moes and A. Huerta
Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issues 21-24, pp. 1835-1849, 2008

Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the Discontinuous Galerkin time discretization
Parés, N., Díez, P. and Huerta, A..
Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issues 19-20, pp. 1641-1660, 2008

Bounds of functional outputs for parabolic problems. Part II: Bounds of the exact solution
Parés, N., Díez, P. and Huerta, A..
Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issues 19-20, pp. 1661-1679, 2008

2007

Stabilized updated Lagrangian corrected SPH for explicit dynamic problems
Vidal, Y., Bonet, J. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 69, Issue 13, pp. 2687-2710, 2007

Goal oriented error estimation for the Element Free Galerkin method
Vidal, Y. and Huerta, A.
Lecture Notes on computational science and engineering, Vol. 57, pp. 265-282, 2007

Hydraulic behaviour of a representative structural volume for containment buildings
Jason, L., Pijaudier-Cabot , G., Ghavamian, S., Huerta, A.
Nuclear Engineering and Design, Vol. 237, Issues 12-13, pp. 1259-1274, 2007

2006

Updated Lagrangian formulation for corrected Smooth Particle Hydrodynamics
Huerta, A., Vidal, Y. and Bonet, J.
International Journal of Computational Methods, Vol. 3, Issue 4, pp. 383-399, 2006

An elastic plastic damage formulation for concrete: application to elementary and structural tests
Jason, L. Huerta, A. Pijaudier-Cabot, G and Ghavamian, S.
Computer Methods in Applied Mechanics and Engineering, Vol. 195, Issue 52, pp. 7077-7092, 2006

Mesh projection between parametric surfaces
X. Roca, J. Sarrate and A. Huerta
Communications in Numerical Methods in Engineering, Vol. 22, Issue 6, pp. 591-603, 2006

Étude de la stabilité d’une formulation incompressible traitée par X-FEM
Legrain, G., Moes, N. and Huerta, A.
European Journal of Computational Mechanics (Revue Européenne de Mécanique Numérique), Vol. 15, Issues 1, 2, 3, pp. 257-268, 2006

The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations
N. Parés, J. Bonet, A. Huerta and J. Peraire
Computer Methods in Applied Mechanics and Engineering, Vol. 195, Issues 4-6, pp. 406-429, 2006

Subdomain-based flux-free a posteriori error estimators
Núria Parés, Pedro Díez and Antonio Huerta
Computer Methods in Applied Mechanics and Engineering, Vol. 195, Issues 4-6, pp. 297-323, 2006

2005

Continuous blending of SPH with finite elements
Sonia Fernández-Méndez, Javier Bonet and Antonio Huerta
Computers and Structures, Vol. 83, Issues 17-18, pp. 1448-1458, 2005

A new damage model based on nonlocal displacements
Rodríguez-Ferran, A., Morata, I. and Huerta, A.
International Journal for Numerical and Analytical Methods in Geomechanics, Vol. Vol 29, Issue 5, pp. 473-493, 2005

2004

Arbitrary Lagrangian-Eulerian methods
Donea, J., Huerta, A., Ponthot, J.-Ph. and Rodríguez-Ferran, A.
Encyclopedia of Computational Mechanics , Vol. 1, Chapter 14, pp. 413-437, 2004

Meshfree Methods
Huerta, A., Belytschko, T. Fernández-Méndez, S. and Rabczuk, T.
Encyclopedia of Computational Mechanics , Vol. 1, Chapter 10, pp. 279-309, 2004

Benchmarks for the validation of a non local damage model
Ludovic Jason, Shahrokh Ghavamian, Gilles Pijaudier-Cabot, Antonio Huerta
Revue française de Génie civil, Vol. 8, Issue 2 -3, pp. 303-328, 2004

Accurate upper and lower error bounds by solving flux-free local problems in “stars”
Díez, P., Parés, N. y Huerta, A.
European Journal of Finite Elements (Revue Européenne des éléments finis), Vol. 13, Issue 5-6-7/2004, pp. 497-507, 2004

Preface
Huerta, A. and Rodríguez-Ferran, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issues 39-41, pp. 3-4, 2004

Efficient and Reliable Nonlocal Damage Models
Rodríguez-Ferran, A., Morata, I. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issues 30, 32, pp. 3431-3455, 2004

A comparison of two formulations to blend finite elements and mesh-free methods
Huerta, A., Fernández-Méndez. S. and Liu, W.K.
Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issue 12-14, pp. 1105-1117, 2004

Pseudo-divergence-free element free Galerkin method for incompressible fluid flow
Huerta, A., Vidal, Y. and Villon, P.
Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issue 12 – 14, pp. 1119-1136, 2004

Imposing essential boundary conditions in mesh-free methods
Fernández-Méndez, S. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issues 12 -14, pp. 1257-1275, 2004

Numerical modelling of void inclusions in porous media
Rodríguez-Ferran, A., Sarrate, J. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 59, Issue 4, pp. 577-596, 2004

Computing bounds for linear functionals of exact weak solutions to Poisson’s equation
A. M. Sauer-Budge, J. Bonet, A. Huerta, and J. Peraire
Journal on Numerical Analysis (SIAM), Vol. 42, Issue 4, pp. 1610-1630, 2004

2003

Convergence of finite elements enriched with meshless methods
Fernández-Méndez, S., Díez, P. and Huerta, A.
Numerische Mathematik, Vol. 96, Issue 1, pp. 43-59, 2003

Goal-oriented adaptivity for shell structures: Error assessment and remeshig criteria
Díez, P., Morata, I. and Huerta A.
European Journal of Finite Elements (Revue Européenne des éléments finis), Vol. 12, Issue 6, pp. 691-715, 2003

Numerical representation of the quality measures of triangles and triangular meshes
Sarrate, J., Palau, J., and Huerta, A.
Communications in Numerical Methods in Engineering, Vol. 19, Issue 7, pp. 551-561, 2003

Efficient and accurate approach for powder compaction problems
Pérez – Foguet, A., Rodríguez-Ferran, A. and Huerta, A.
Computational Mechanics, Vol. 30, Issue 3, pp. 220-234, 2003

Locking in the incompressible limit: pseudo-divergence-free element free Galerkin
Yolanda Vidal, Pierre Villon and Antonio Huerta
Communications in Numerical Methods in Engineering, Vol. 19, Issue 9, pp. 725-735, 2003

Recovering lower bounds of the error by postprocessing implicit residual a posteriori error estimates
Díez, P., Parés; N. And Huerta,A.
International Journal for Numerical Methods in Engineering, Vol. 56, Issue 10, pp. 1465-1488, 2003

Time accurate consistently stabilized mesh-free methods for convection dominated problems
Huerta, A. and Fernández-Méndez, S.
International Journal for Numerical Methods in Engineering, Vol. 56, Issue 9, pp. 1225-1242, 2003

2002

Arbitrary Lagrangian-Eulerian (ALE) formulation for hyperelastoplasticity
Rodríguez-Ferran, A., Pérez-Foguet, A. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 53, Issue 8, pp. 1831-1851, 2002

The efficient computation of bounds for functionals of finite element solutions in large strain elasticity
J. Bonet, A. Huerta and J. Peraire
Computer Methods in Applied Mechanics and Engineering, Vol. 191, Issue 43, pp. 4807-4826, 2002

Time-accurate solution of stabilized convection-diffusion-reaction equations: II. Accuracy analysis and examples
Antonio Huerta, Bernardino Roig and Jean Donea
Communications in Numerical Methods in Engineering, Vol. 18, Issue 8, pp. 575-584, 2002

Time-accurate solution of stabilized convection-diffusion-reaction equations: I. Time and space discretization
Antonio Huerta and Jean Donea
Communications in Numerical Methods in Engineering, Vol. 18, Issue 8, pp. 565-573, 2002

Enrichissement des interpolations d’éléments finis en utilisant des méthodes de particules
Huerta, A., Fernández-Méndez, S. and Díez, P.
Mathematical Modelling and Numerical Analysis, Vol. 36, Issue 6, pp. 1027-1042, 2002

Error estimation and adaptivity for nonlinear FE analysis
Antonio Huerta, Antonio Rodríguez-Ferran and Pedro Díez
International Journal of Applied Mathematics and Computer Sciences, Vol. 12, Issue 1, pp. 59-70, 2002

Locking in the incompressible limit: pseudo-divergence-free element free Galerkin
Yolanda Vidal, Pierre Villon and Antonio Huerta
European Journal of Finite Elements (Revue Européenne des éléments finis), Vol. 11, Issue 7-8, pp. 869-891, 2002

Coupling finite elements and particles for adaptivity: an application to consistently stabilized convection-diffusion
Fernández-Méndez, S. and Huerta, A.
Lecture Notes on computational science and engineering, Vol. 26, pp. 117-130, 2002

Generación automática de malllas no estructuradas y formadas exclusivamente por cuadriláteros sobre superficies curvas en R3
Sarrate, J. and Huerta, A.
Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, Vol. 18, Issue 1, pp. 79-93, 2002

2001

Implementation of a stabilized finite element formulation for the incompressible Navier-Stokes equations based on a pressure gradient projection
Ramon Codina, Jordi Blasco, Gustavo C. Buscaglia and Antonio Huerta
International Journal for Numerical Methods in Fluids, Vol. 37, Issue 4, pp. 419-444, 2001

Consistent tangent matrices for density-dependent finite plasticity models
Pérez-Foguet, A., Rodríguez-Ferran, A. and Huerta, A.
International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 25, Issue 11, pp. 1045-1075, 2001

Consistent Tangent Matrices for Substepping Schemes
Pérez-Foguet, A., Rodríguez-Ferran, A. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 190, Issues 35, 36, pp. 4627-4647, 2001

Locking in the incompressible limit for the element-free Galerkin method
Huerta, A. and Fernández-Méndez, S.
International Journal for Numerical Methods in Engineering, Vol. 51, Issue 11, pp. 1361-1383, 2001

Arbitrary Lagrangian-Eulerian formulation for fluid-rigid body interaction
Sarrate, J., Huerta, A. and Donéa, J.
Computer Methods in Applied Mechanics and Engineering, Vol. 190, Issues 24, 25, pp. 3171-3188, 2001

An improved Algorithm to Smooth Graded Quadrilateral Meshes Preserving the Prescribed Element Size
Sarrate, J. and Huerta, A.
Communications in Numerical Methods in Engineering, Vol. 17, Issue 2, pp. 89-99, 2001

Adaptive analysis based on error estimation for nonlocal damage models
Rodríguez-Ferran, A., Arbós, I, and Huerta, A.
European Journal of Finite Elements (Revue Européenne des éléments finis), Vol. 10 Issues 2, 3 & 4, pp. 193-207, 2001

Arbitrary Lagrangian-Eulerian Simulation of Powder Compaction Processes
Pérez-Foguet, A., Rodríguez-Ferran, A. and Huerta, A.
International Journal of Forming Processes, Vol. 4 Issues 3, 4, pp. 535-549, 2001

2000

Error estimation and adaptivity for nonlocal damage models
Rodríguez-Ferran, A. and Huerta, A.
International Journal of Solids and Structures, Vol. 37, Issue 48-50, pp. 7501-7528, 2000

Efficient unstructured quadrilateral mesh generation
Sarrate, J. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 49, Issue 10, pp. 1327-1350, 2000

Enrichment and Coupling of the Finite Element and Meshless Methods
Huerta, A. and Fernández-Méndez, S.
International Journal for Numerical Methods in Engineering, Vol. 48, Issue 11, pp. 1615-1636, 2000

Numerical differentiation for non-trivial consistent tangent matrices: an application to the MRS-Lade model
Pérez-Foguet, A., Rodríguez-Ferran, A. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 48, Issue 2, pp. 159-184, 2000

High-order accurate time-stepping schemes for convection-diffusion problems
Donéa, J., Roig, B. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 182, Issues 3, 4, pp. 249-275, 2000

Adaptivity based on error estimation for viscoplastic softening materials
Díez, P., Arroyo, M. and Huerta, A.
Mechanics of Cohesive-Frictional Materials, Vol. 5, Issue 2, pp. 87-112, 2000

Error Estimation Including Pollution Assessment for Nonlinear Finite Element Analysis
Huerta, A. and Díez, P.
Computer Methods in Applied Mechanics and Engineering, Vol. 181, Issues 1,3, pp. 21-41, 2000

Numerical differentiation for local and global tangent operators in computational plasticity
Pérez-Foguet, A., Rodríguez-Ferran, A. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 189, Issue 1, pp. 277-296, 2000

Error estimation for adaptive computations on shell structures
Díez, P., and Huerta, A.
European Journal of Finite Elements (Revue Européenne des éléments finis), Vol. 9, Issue 1, 2 i 3,/2000, pp. 49-66, 2000

1999

Adapting Broyden Method to Handle Linear Constraints Imposed via Lagrange Multipliers
Rodríguez-Ferran, A. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 46, Issue 12, pp. 2011-2026, 1999

Adaptive finite element strategies based on error assessment
Huerta, A., Rodríguez-Ferran, A., Díez, P. and Sarrate, J.
International Journal for Numerical Methods in Engineering, Vol. 46, Issue 10, pp. 1803-1818, 1999

Accuracy of two stress update algorithms for shear-free large deformations paths
Rodríguez-Ferran, A. and Huerta, A.
Journal of Engineering Mechanics (ASCE), Vol. 125, Issue 6, pp. 715-717, 1999

Plastic flow potential for cone region on the MRS-Lade model
Pérez-Foguet, A. and Huerta, A.
Journal of Engineering Mechanics (ASCE), Vol. 125, Issue 3, pp. 364-367, 1999

Adaptive analysis of yield line patterns in plates with the Arbitrary Lagrangian-Eulerian method
Askes, H., Rodríguez-Ferran, A. and Huerta, A.
Computers and Structures, Vol. 70, Issue 3, pp. 257-271, 1999

A unified approach to remeshing strategies for finite element h-adaptivity
Díez, P. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 176, Issues 1, 4, pp. 215-229, 1999

Analysis of the vane test considering size and time effects
Pérez-Foguet, A., Ledesma, A. and Huerta, A.
International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 23, Issue 5, pp. 383-412, 1999

1998

A fractional-step method for the incomprensible Navier-Stokes equations related to a predictor-multicorrector algorithm
Blasco, J., Codina, R. and Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 28, Issue 10, pp. 1391-1419, 1998

ALE Stress Update for Transient and Quasistatic Processes
Rodríguez-Ferran, A., Casadei, F. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 43, Issue 2, pp. 241-262, 1998

A posteriori error estimation for standard finite element analysis
Díez, P., Egozcue, J.J. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 163, Issues 1,4, pp. 141-157, 1998

Comparing Two Algorithms to Add Large Strains to Small Strain Finite Element Code
Rodríguez-Ferran, A. and Huerta, A.
Journal of Engineering Mechanics (ASCE), Vol. 124, Issue 9, pp. 939-948, 1998

Un estimador de error residual para el método de los elementos finitos
Díez, P., Egozcue, J.J. and Huerta, A.
Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, Vol. 14, Issue 4, pp. 557-582, 1998

1997

Two Stress Update Algorithms for Large Strains: Accuracy Analysis and Numerical Implementation
Rodríguez-Ferran, A., Pegon, P. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 40, Issue 23, pp. 4363-4404, 1997

A note on a numerical benchmark test: An axisymmetric shell under ring loads
Vila, A., Rodríguez-Ferran, A. and Huerta, A.
Communications in Numerical Methods in Engineering, Vol. 13, Issue 3, pp. 181-192, 1997

1995

Arbitrary Lagrangian-Eulerian finite element analysis of strain localization in transient problems
Pijaudier-Cabot, G., Bodé, L. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 38, Issue 24, pp. 4171-4191, 1995

La Programación orientada al objeto aplicada al cálculo por el método de los elementos finitos
Bretones, M.A., Rodríguez-Ferran, A. and Huerta, A.
Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, Vol. 11, Issue 3, pp. 423-449, 1995

1994

Discretization Influence on the Regularization by two Localization Limiters
Huerta, A. and Pijaudier-Cabot, G.
Journal of Engineering Mechanics (ASCE), Vol. 120, Issue 6, pp. 1198-1218, 1994

New ALE Applications in Non-Linear Fast-Transient Solid Dynamics
Huerta, A. and Casadei, F.
Engineering Computations, Vol. 11 Issue 4, pp. 317-345, 1994

1992

Numerical Analysis of Nonlinear Large-Strain Consolidation and Filling
Huerta, A. and Rodríguez-Ferran, A.
Computers and Structures, Vol. 44, Issue 1-2, pp. 357-365, 1992

1991

Finite Element Analysis of Bifurcation in Nonlocal Strain Softening Solids
Pijaudier-Cabot, G. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 90, Issues 1, 3, pp. 905-919, 1991

1990

Large-Amplitude Sloshing With Submerged Blocks
Huerta, A. and Liu, W.K.
Journal Pressure Vessel Technology, Vol. 112, Issue 1, pp. 104-108, 1990

1988

Permeability and Compressibility of Slurries from Seepage-Induced Consolidation
Huerta, A., Kriegsmann, G.A. and Krizek, R.K.
Journal of Geotechnical Engineering (ASCE), Vol. 115, pp. 614-627, 1988

Viscous Flow Structure Interaction
Huerta, A. and Liu, W.K.
Journal Pressure Vessel Technology, Vol. 110, Issue 1, pp. 15-21, 1988

Viscous flow with large free surface motion
Antonio Huerta and Win Kam Liu
Computer Methods in Applied Mechanics and Engineering, Vol. 69, Issue 3, pp. 277-324, 1988