Edit Profile (opens in new tab) Huerta, Antonio Co-Author Distance Author ID: huerta.antonio Published as: Huerta, Antonio; Huerta, A. Homepage: http://www.lacan.upc.edu/huerta External Links: ORCID · ResearchGate Documents Indexed: 133 Publications since 1988, including 5 Books and 11 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 74 Co-Authors with 131 Joint Publications 1,361 Co-Co-Authors all top 5 Co-Authors 1 single-authored 28 Díez, Pedro 22 Sevilla, Ruben 20 Rodríguez-Ferran, Antonio 19 Fernández-Méndez, Sonia 19 Giacomini, Matteo 9 Chinesta, Francisco 9 Parés, Núria 9 Sarrate, Josep 7 Bonet, Javier 7 Cueto, Elias 7 Vidal, Yolanda 5 Donea, Jean 5 Peraire, Jaime 5 Zlotnik, Sergio 4 Ammar, Amine 4 Pérez-Foguet, Agustí 4 Vila-Pérez, Jordi 3 Aguado, Jose Vicente 3 Blasco, Jordi 3 Casoni, E. 3 Codina, Ramon 3 Egozcue, Juan José 3 Gil, Antonio J. 3 Giorgiani, Giorgio 3 Modesto, David 3 Montlaur, Adeline 3 Morata, Irene 3 Roig, Bernardino 3 Villon, Pierre 2 Barroso, Guillem 2 Borchini, Luca 2 Casadei, Folco 2 Cottereau, Régis 2 Karkoulias, Alexandros 2 La Spina, Andrea 2 Ledger, Paul David 2 Legrain, Gregory 2 Leygue, Adrien 2 Liu, Wing Kam 2 Mallett, Mike 2 Moës, Nicolas 2 Othmer, Carsten 2 Pijaudier-Cabot, Gilles 2 Roca, Xevi 2 Tsiolakis, Vasileios 2 Vieira, Luan M. 2 Vila, Agnès 1 Abisset-Chavanne, Emmanuelle 1 Alfaro, Iciar 1 Angeloski, Aleksandar 1 Arbós, Ivan 1 Askes, Harm 1 Bode, Laurent 1 Bordeu, Felipe 1 Borzacchiello, Domenico 1 Breitkopf, Piotr 1 Buscaglia, Gustavo Carlos 1 Cai, Quanji 1 Duval, Jean Louis 1 García-González, Alberto 1 Ghavamian, Shahrokh 1 Haider, Jibran 1 Ibañez, Ruben 1 Jason, Ludovic 1 Kollepara, Kiran Sagar 1 Kollmannsberger, Stefan 1 Kronbichler, Martin 1 Larsson, Fredrik 1 Lee, Chun Hean 1 Palau, J. 1 Pegon, Pierre 1 Pérez-Foguet, Augustí 1 Piccardo, Stefano 1 Rank, Ernst 1 Sala-Lardies, Esther 1 Sauer-Budge, A. M. 1 Seoane, Maria Luisa 1 Wall, Wolfgang A. all top 5 Serials 31 Computer Methods in Applied Mechanics and Engineering 24 International Journal for Numerical Methods in Engineering 11 International Journal for Numerical Methods in Fluids 7 Communications in Numerical Methods in Engineering 4 Computational Mechanics 4 Revue Européenne des Éléments Finis 3 Journal of Scientific Computing 2 Computers and Fluids 2 International Journal for Numerical and Analytical Methods in Geomechanics 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Computers and Structures 1 International Journal of Solids and Structures 1 Journal of Computational Physics 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Scientific Computing 1 Engineering Computations 1 Complexity 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 International Journal of Applied Mathematics and Computer Science 1 Archives of Computational Methods in Engineering 1 Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 1 International Journal of Computational Methods 1 Revue Européenne de Mécanique Numérique all top 5 Fields 84 Numerical analysis (65-XX) 51 Mechanics of deformable solids (74-XX) 47 Fluid mechanics (76-XX) 18 Partial differential equations (35-XX) 4 Optics, electromagnetic theory (78-XX) 3 Geophysics (86-XX) 3 Systems theory; control (93-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 2,052 times in 1,301 Documents Cited by ▼ Year ▼ Imposing essential boundary conditions in mesh-free methods. Zbl 1060.74665 Fernández-Méndez, Sonia; Huerta, Antonio 183 2004 Viscous flow with large free surface motion. Zbl 0655.76032 Huerta, Antonio; Liu, Wing Kam 106 1988 NURBS-enhanced finite element method (NEFEM). Zbl 1162.65389 Sevilla, Ruben; Fernández-Méndez, Sonia; Huerta, Antonio 89 2008 Enrichment and coupling of the finite element and meshless methods. Zbl 0976.74067 Huerta, Antonio; Fernández-Méndez, Sonia 86 2000 3D NURBS-enhanced finite element method (NEFEM). Zbl 1242.78032 Sevilla, Ruben; Fernández-Méndez, Sonia; Huerta, Antonio 62 2011 Subdomain-based flux-free a posteriori error estimators. Zbl 1193.65191 Parés, Núria; Díez, Pedro; Huerta, Antonio 58 2006 PGD-based computational vademecum for efficient design, optimization and control. Zbl 1354.65100 Chinesta, F.; Leygue, A.; Bordeu, F.; Aguado, J. V.; Cueto, E.; Gonzalez, D.; Alfaro, I.; Ammar, A.; Huerta, A. 55 2013 The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations. Zbl 1193.74041 Parés, N.; Bonet, J.; Huerta, A.; Peraire, J. 45 2006 Efficiency of high-order elements for continuous and discontinuous Galerkin methods. Zbl 1352.65512 Huerta, Antonio; Angeloski, Aleksandar; Roca, Xevi; Peraire, Jaime 44 2013 Pseudo-divergence-free element free Galerkin method for incompressible fluid flow. Zbl 1060.76626 Huerta, Antonio; Vidal, Yolanda; Villon, Pierre 41 2004 A simple shock-capturing technique for high-order discontinuous Galerkin methods. Zbl 1253.76058 Huerta, Antonio; Casoni, E.; Peraire, Jaime 40 2012 A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm. Zbl 0935.76041 Blasco, J.; Codina, R.; Huerta, A. 36 1998 An error estimator for separated representations of highly multidimensional models. Zbl 1231.74503 Ammar, A.; Chinesta, F.; Diez, P.; Huerta, A. 35 2010 Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations. Zbl 1338.76062 Montlaur, A.; Fernandez-Mendez, S.; Huerta, A. 34 2008 Stability of incompressible formulations enriched with X-FEM. Zbl 1194.74426 Legrain, G.; Moës, N.; Huerta, A. 32 2008 Stabilized updated Lagrangian corrected SPH for explicit dynamic problems. Zbl 1194.74541 Vidal, Y.; Bonet, J.; Huerta, A. 31 2007 Adaptive finite element strategies based on error assessment. Zbl 0968.74066 Huerta, Antonio; Rodríguez-Ferran, Antonio; Díez, Pedro; Sarrate, Josep 30 1999 A unified approach to remeshing strategies for finite element \(h\)-adaptivity. Zbl 0942.74071 Díez, Pedro; Huerta, Antonio 28 1999 Parametric solutions involving geometry: a step towards efficient shape optimization. Zbl 1295.74080 Ammar, Amine; Huerta, Antonio; Chinesta, Francisco; Cueto, Elías; Leygue, Adrien 28 2014 Bounds of functional outputs for parabolic problems. I: Exact bounds of the discontinuous Galerkin time discretization. Zbl 1194.65109 Parés, Núria; Díez, Pedro; Huerta, Antonio 27 2008 Implementation of a stabilized finite element formulation for the incompressible Navier-Stokes equations based on a pressure gradient projection. Zbl 1074.76032 Codina, Ramon; Blasco, Jordi; Buscaglia, Gustavo; Huerta, Antonio 26 2001 Hybridizable discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations. Zbl 1391.76332 Giorgiani, Giorgio; Fernández-Méndez, Sonia; Huerta, Antonio 26 2014 New ALE applications in nonlinear fast-transient solid dynamics. Zbl 0957.74018 Huerta, A.; Casadei, F. 25 1994 Comparison of high-order curved finite elements. Zbl 1242.65244 Sevilla, Ruben; Fernández-Méndez, Sonia; Huerta, Antonio 25 2011 Proper generalized decomposition for parameterized Helmholtz problems in heterogeneous and unbounded domains: application to harbor agitation. Zbl 1423.76261 Modesto, David; Zlotnik, Sergio; Huerta, Antonio 24 2015 A posteriori error estimation for standard finite element analysis. Zbl 0940.65116 Díez, Pedro; Egozcue, Juan José; Huerta, Antonio 24 1998 Computing bounds for linear functionals of exact weak solutions to Poisson’s equation. Zbl 1084.65107 Sauer-Budge, A. M.; Bonet, J.; Huerta, A.; Peraire, J. 24 2004 Numerical differentiation for local and global tangent operators in computational plasticity. Zbl 0961.74078 Pérez-Foguet, Agustí; Rodríguez-Ferran, Antonio; Huerta, Antonio 24 2000 Bounds of functional outputs for parabolic problems. II: Bounds of the exact solution. Zbl 1194.65110 Parés, Núria; Díez, Pedro; Huerta, Antonio 24 2008 Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free method. Zbl 1297.74116 Cottereau, Régis; Díez, Pedro; Huerta, Antonio 23 2009 Consistent tangent matrices for substepping schemes. Zbl 1002.74098 Pérez-Foguet, Agustí; Rodríguez-Ferran, Antonio; Huerta, Antonio 23 2001 Hybridizable discontinuous Galerkin \(p\)-adaptivity for wave propagation problems. Zbl 1455.65211 Giorgiani, Giorgio; Fernández-Méndez, Sonia; Huerta, Antonio 23 2013 Error estimation including pollution assessment for nonlinear finite element analysis. Zbl 0964.74067 Huerta, Antonio; Díez, Pedro 22 2000 NURBS-enhanced finite element method for Euler equations. Zbl 1140.76023 Sevilla, R.; Fernández-Méndez, S.; Huerta, A. 21 2008 Locking in the incompressible limit for the element-free Galerkin method. Zbl 1065.74635 Huerta, Antonio; Fernández-Méndez, Sonia 21 2001 Arbitrary Lagrangian-Eulerian formulation for fluid-rigid body interaction. Zbl 0985.76055 Sarrate, Josep; Huerta, Antonio; Donea, Jean 21 2001 Real-time monitoring of thermal processes by reduced-order modeling. Zbl 1352.80002 Aguado, José V.; Huerta, Antonio; Chinesta, Francisco; Cueto, Elías 20 2015 Upper and lower bounds in limit analysis: Adaptive meshing strategies and discontinuous loading. Zbl 1155.74313 Muñoz, J. J.; Bonet, J.; Huerta, A.; Peraire, J. 19 2009 Exact bounds for linear outputs of the advection-diffusion-reaction equation using flux-free error estimates. Zbl 1195.65157 Parés, Núria; Díez, Pedro; Huerta, Antonio 19 2009 Proper generalized decomposition of a geometrically parametrized heat problem with geophysical applications. Zbl 1352.65450 Zlotnik, Sergio; Díez, Pedro; Modesto, David; Huerta, Antonio 18 2015 An elastic plastic damage formulation for concrete: application to elementary tests and comparison with an isotropic damage model. Zbl 1251.74029 Jason, Ludovic; Huerta, Antonio; Pijaudier-Cabot, Gilles; Ghavamian, Shahrokh 17 2006 Recovering lower bounds of the error by postprocessing implicit residual a posteriori error estimates. Zbl 1052.65105 Díez, Pedro; Parés, Núria; Huerta, Antonio 17 2003 Arbitrary Lagrangian-Eulerian finite element analysis of strain localization in transient problems. Zbl 0843.73075 Pijaudier-Cabot, Gilles; Bodé, Laurent; Huerta, Antonio 17 1995 Tutorial on hybridizable discontinuous Galerkin (HDG) for second-order elliptic problems. Zbl 1356.65238 Sevilla, Ruben; Huerta, Antonio 17 2016 ALE stress update for transient and quasistatic processes. Zbl 0933.74064 Rodríguez-Ferran, Antonio; Casadei, Folco; Huerta, Antonio 16 1998 Efficient unstructured quadrilateral mesh generation. Zbl 1004.74076 Sarrate, Josep; Huerta, Antonio 16 2000 Locking in the incompressible limit: pseudo-divergence-free element free Galerkin. Zbl 1112.74545 Vidal, Yolanda; Villon, Pierre; Huerta, Antonio 16 2003 A comparison of two formulations to blend finite elements and mesh-free methods. Zbl 1059.65104 Huerta, Antonio; Fernández-Méndez, Sonia; Liu, Wing Kam 16 2004 High-order accurate time-stepping schemes for convection-diffusion problems. Zbl 0984.76044 Donea, J.; Roig, B.; Huerta, A. 15 2000 Numerical differentiation for nontrivial consistent tangent matrices: An application to the MRS-Lade model. Zbl 1005.74079 Pérez-Foguet, Agustí; Rodríguez-Ferran, Antonio; Huerta, Antonio 15 2000 One-dimensional shock-capturing for high-order discontinuous Galerkin methods. Zbl 1431.65171 Casoni, E.; Peraire, J.; Huerta, Antonio 14 2013 Discontinuous Galerkin methods for the Navier-Stokes equations using solenoidal approximations. Zbl 1377.76008 Montlaur, A.; Fernandez-Mendez, S.; Peraire, J.; Huerta, A. 14 2010 Arbitrary Lagrangian-Eulerian (ALE) formulation for hyperelastoplasticity. Zbl 1169.74630 Rodríguez-Ferran, Antonio; Pérez-Foguet, Augustí; Huerta, Antonio 13 2002 Efficient and reliable nonlocal damage models. Zbl 1060.74592 Rodríguez-Ferran, A.; Morata, I.; Huerta, A. 13 2004 A superconvergent HDG method for Stokes flow with strongly enforced symmetry of the stress tensor. Zbl 1404.76162 Giacomini, Matteo; Karkoulias, Alexandros; Sevilla, Ruben; Huerta, Antonio 13 2018 HDG-NEFEM with degree adaptivity for Stokes flows. Zbl 1497.65236 Sevilla, Ruben; Huerta, Antonio 13 2018 An upwind cell centred total Lagrangian finite volume algorithm for nearly incompressible explicit fast solid dynamic applications. Zbl 1440.74458 Haider, Jibran; Lee, Chun Hean; Gil, Antonio J.; Huerta, Antonio; Bonet, Javier 12 2018 High-order continuous and discontinuous Galerkin methods for wave problems. Zbl 1455.65212 Giorgiani, Giorgio; Modesto, David; Fernández-Méndez, Sonia; Huerta, Antonio 12 2013 Generalized parametric solutions in Stokes flow. Zbl 1439.76062 Díez, Pedro; Zlotnik, Sergio; Huerta, Antonio 11 2017 A flux-free a posteriori error estimator for the incompressible Stokes problem using a mixed FE formulation. Zbl 1231.76154 Larsson, Fredrik; Díez, Pedro; Huerta, Antonio 11 2010 A multidimensional data-driven sparse identification technique: the sparse proper generalized decomposition. Zbl 1407.93063 Ibáñez, Rubén; Abisset-Chavanne, Emmanuelle; Ammar, Amine; González, David; Cueto, Elías; Huerta, Antonio; Duval, Jean Louis; Chinesta, Francisco 10 2018 Adaptive analysis of yield line patterns in plates with the arbitrary Lagrangian-Eulerian method. Zbl 0958.74055 Askes, H.; Rodríguez-Ferran, A.; Huerta, A. 10 1999 Error estimation and adaptivity for nonlocal damage models. Zbl 0996.74078 Rodríguez-Ferran, Antonio; Huerta, Antonio 10 2000 High-order implicit time integration for unsteady incompressible flows. Zbl 1412.65085 Montlaur, A.; Fernandez-Mendez, S.; Huerta, Antonio 8 2012 A new damage model based on non-local displacements. Zbl 1122.74496 Rodríguez-Ferran, Antonio; Morata, Irene; Huerta, Antonio 8 2005 Efficient and accurate approach for powder compaction problems. Zbl 1090.74546 Pérez-Foguet, A.; Rodríguez-Ferran, A.; Huerta, A. 8 2003 Solution of geometrically parametrised problems within a CAD environment via model order reduction. Zbl 1441.65022 Sevilla, Ruben; Zlotnik, Sergio; Huerta, Antonio 8 2020 A second-order face-centred finite volume method for elliptic problems. Zbl 1441.65087 Vieira, Luan M.; Giacomini, Matteo; Sevilla, Ruben; Huerta, Antonio 8 2020 Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM. Zbl 07678493 Tsiolakis, Vasileios; Giacomini, Matteo; Sevilla, Ruben; Othmer, Carsten; Huerta, Antonio 8 2020 A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems. Zbl 1506.74415 La Spina, Andrea; Kronbichler, Martin; Giacomini, Matteo; Wall, Wolfgang A.; Huerta, Antonio 8 2020 PGD for solving multidimensional and parametric models. Zbl 1312.93023 Chinesta, Francisco; Cueto, Elías; Huerta, Antonio 8 2014 Time-accurate solution of stabilized convection-diffusion-reaction equations. I: Time and space discretization. Zbl 1003.65113 Huerta, Antonio; Donea, Jean 7 2002 Time-accurate solution of stabilized convection-diffusion-reaction equations. II: Accuracy analysis and examples. Zbl 1003.65114 Huerta, Antonio; Roig, Bernardino; Donea, Jean 7 2002 Time accurate consistently stabilized mesh-free methods for convection dominated problems. Zbl 1032.76034 Huerta, Antonio; Fernández-Méndez, Sonia 7 2003 Streamline upwind/Petrov-Galerkin-based stabilization of proper generalized decompositions for high-dimensional advection-diffusion equations. Zbl 1352.76053 González, David; Cueto, Elías; Chinesta, Francisco; Díez, Pedro; Huerta, Antonio 7 2013 Two stress update algorithms for large strains: Accuracy analysis and numerical implementation. Zbl 0896.73076 Rodríguez-Ferran, Antonio; Pegon, Pierre; Huerta, Antonio 6 1997 An improved algorithm to smooth graded quadrilateral meshes preserving the prescribed element size. Zbl 0993.65139 Sarrate, J.; Huerta, A. 6 2001 Tutorial on hybridizable discontinuous Galerkin (HDG) formulation for incompressible flow problems. Zbl 1481.76137 Giacomini, Matteo; Sevilla, Ruben; Huerta, Antonio 6 2020 Hybrid coupling of CG and HDG discretizations based on Nitsche’s method. Zbl 1490.74107 La Spina, Andrea; Giacomini, Matteo; Huerta, Antonio 5 2020 Computable exact bounds for linear outputs from stabilized solutions of the advection-diffusion-reaction equation. Zbl 1352.65533 Parés, Núria; Díez, Pedro; Huerta, Antonio 5 2013 Coupling finite elements and particles for adaptivity: An application to consistently stabilized convection-diffusion. Zbl 1012.65120 Fernández-Méndez, Sonia; Huerta, Antonio 4 2002 High-order accurate time-stepping schemes for convection-diffusion problems. Zbl 0939.76001 Donea, J.; Roig, B.; Huerta, A. 4 1998 Adapting Broyden method to handle linear constraints imposed via Lagrange multipliers. Zbl 0973.74091 Rodríguez-Ferran, Antonio; Huerta, Antonio 4 1999 Consistent tangent matrices for density-dependent finite plasticity models. Zbl 1066.74015 Pérez-Foguet, Agustí; Rodríguez-Ferran, Antonio; Huerta, Antonio 4 2001 Meshfree & particle based approaches in computational mechanics. Zbl 1116.74303 4 2004 Convergence of finite elements enriched with mesh-less methods. Zbl 1049.65117 Fernández-Méndez, Sonia; Díez, Pedro; Huerta, Antonio 4 2003 Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows. Zbl 1506.76099 Sevilla, Ruben; Borchini, Luca; Giacomini, Matteo; Huerta, Antonio 4 2020 Updated Lagrangian formulation for corrected smooth particle hydrodynamics. Zbl 1198.76107 Huerta, Antonio; Vidal, Yolanda; Bonet, Javier 4 2006 A note on a numerical benchmark test: An axisymmetric shell under ring loads. Zbl 0869.73077 Vila, Agnès; Rodríguez-Ferran, Antonio; Huerta, Antonio 3 1997 One-dimensional shock-capturing for high-order discontinuous Galerkin methods. Zbl 1189.76335 Casoni, E.; Peraire, J.; Huerta, A. 3 2009 Finite elements interpolations refinement by meshless methods. (Enrichissement des interpolations d’éléments finis en utilisant des méthodes sans maillage.) Zbl 1042.65085 Huerta, Antonio; Fernández-Méndez, Sonia; Díez, Pedro 3 2002 A staggered high-dimensional proper generalised decomposition for coupled magneto-mechanical problems with application to MRI scanners. Zbl 1506.74118 Barroso, G.; Seoane, M.; Gil, A. J.; Ledger, P. D.; Mallett, M.; Huerta, A. 3 2020 A new algorithm for unstructured quadrilateral mesh generation and rezoning. Zbl 0875.76204 Sarrate, J.; Gutiérrez, M. A.; Huerta, A. 2 1993 Automatic generation of nonstructured and quadrilateral meshes for curved surfaces in \(\mathbb R^3\). Zbl 1112.74539 Sarrate, Josep; Huerta, Antonio 2 2002 Adaptive analysis based on error estimation for nonlocal damage models. Zbl 1014.74073 Rodríguez-Ferran, Antonio; Arbós, Ivan; Huerta, Antonio 2 2001 Mesh projection between parametric surfaces. Zbl 1105.65309 Roca, X.; Sarrate, J.; Huerta, A. 2 2006 Locking in the incompressible limit: pseudo-divergence-free element free Galerkin. Zbl 1120.74837 Vidal, Yolanda; Villon, Pierre; Huerta, Antonio 2 2002 The efficient computation of bounds for functionals of finite element solutions in large strain elasticity. Zbl 1099.74543 Bonet, J.; Huerta, A.; Peraire, J. 2 2002 A regularised-adaptive proper generalised decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners. Zbl 1441.78019 Barroso, Guillem; Gil, Antonio J.; Ledger, Paul D.; Mallett, Mike; Huerta, Antonio 2 2020 A non-oscillatory face-centred finite volume method for compressible flows. Zbl 1521.76476 Vila-Pérez, Jordi; Giacomini, Matteo; Sevilla, Ruben; Huerta, Antonio 2 2022 A non-oscillatory face-centred finite volume method for compressible flows. Zbl 1521.76476 Vila-Pérez, Jordi; Giacomini, Matteo; Sevilla, Ruben; Huerta, Antonio 2 2022 Parametric solutions of turbulent incompressible flows in OpenFOAM via the proper generalised decomposition. Zbl 07524797 Tsiolakis, Vasileios; Giacomini, Matteo; Sevilla, Ruben; Othmer, Carsten; Huerta, Antonio 2 2022 Solution of geometrically parametrised problems within a CAD environment via model order reduction. Zbl 1441.65022 Sevilla, Ruben; Zlotnik, Sergio; Huerta, Antonio 8 2020 A second-order face-centred finite volume method for elliptic problems. Zbl 1441.65087 Vieira, Luan M.; Giacomini, Matteo; Sevilla, Ruben; Huerta, Antonio 8 2020 Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM. Zbl 07678493 Tsiolakis, Vasileios; Giacomini, Matteo; Sevilla, Ruben; Othmer, Carsten; Huerta, Antonio 8 2020 A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems. Zbl 1506.74415 La Spina, Andrea; Kronbichler, Martin; Giacomini, Matteo; Wall, Wolfgang A.; Huerta, Antonio 8 2020 Tutorial on hybridizable discontinuous Galerkin (HDG) formulation for incompressible flow problems. Zbl 1481.76137 Giacomini, Matteo; Sevilla, Ruben; Huerta, Antonio 6 2020 Hybrid coupling of CG and HDG discretizations based on Nitsche’s method. Zbl 1490.74107 La Spina, Andrea; Giacomini, Matteo; Huerta, Antonio 5 2020 Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows. Zbl 1506.76099 Sevilla, Ruben; Borchini, Luca; Giacomini, Matteo; Huerta, Antonio 4 2020 A staggered high-dimensional proper generalised decomposition for coupled magneto-mechanical problems with application to MRI scanners. Zbl 1506.74118 Barroso, G.; Seoane, M.; Gil, A. J.; Ledger, P. D.; Mallett, M.; Huerta, A. 3 2020 A regularised-adaptive proper generalised decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners. Zbl 1441.78019 Barroso, Guillem; Gil, Antonio J.; Ledger, Paul D.; Mallett, Mike; Huerta, Antonio 2 2020 Tensor representation of non-linear models using cross approximations. Zbl 1484.65084 Aguado, José V.; Borzacchiello, Domenico; Kollepara, Kiran S.; Chinesta, Francisco; Huerta, Antonio 1 2019 A superconvergent HDG method for Stokes flow with strongly enforced symmetry of the stress tensor. Zbl 1404.76162 Giacomini, Matteo; Karkoulias, Alexandros; Sevilla, Ruben; Huerta, Antonio 13 2018 HDG-NEFEM with degree adaptivity for Stokes flows. Zbl 1497.65236 Sevilla, Ruben; Huerta, Antonio 13 2018 An upwind cell centred total Lagrangian finite volume algorithm for nearly incompressible explicit fast solid dynamic applications. Zbl 1440.74458 Haider, Jibran; Lee, Chun Hean; Gil, Antonio J.; Huerta, Antonio; Bonet, Javier 12 2018 A multidimensional data-driven sparse identification technique: the sparse proper generalized decomposition. Zbl 1407.93063 Ibáñez, Rubén; Abisset-Chavanne, Emmanuelle; Ammar, Amine; González, David; Cueto, Elías; Huerta, Antonio; Duval, Jean Louis; Chinesta, Francisco 10 2018 Generalized parametric solutions in Stokes flow. Zbl 1439.76062 Díez, Pedro; Zlotnik, Sergio; Huerta, Antonio 11 2017 Tutorial on hybridizable discontinuous Galerkin (HDG) for second-order elliptic problems. Zbl 1356.65238 Sevilla, Ruben; Huerta, Antonio 17 2016 Proper generalized decomposition for parameterized Helmholtz problems in heterogeneous and unbounded domains: application to harbor agitation. Zbl 1423.76261 Modesto, David; Zlotnik, Sergio; Huerta, Antonio 24 2015 Real-time monitoring of thermal processes by reduced-order modeling. Zbl 1352.80002 Aguado, José V.; Huerta, Antonio; Chinesta, Francisco; Cueto, Elías 20 2015 Proper generalized decomposition of a geometrically parametrized heat problem with geophysical applications. Zbl 1352.65450 Zlotnik, Sergio; Díez, Pedro; Modesto, David; Huerta, Antonio 18 2015 Parametric solutions involving geometry: a step towards efficient shape optimization. Zbl 1295.74080 Ammar, Amine; Huerta, Antonio; Chinesta, Francisco; Cueto, Elías; Leygue, Adrien 28 2014 Hybridizable discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations. Zbl 1391.76332 Giorgiani, Giorgio; Fernández-Méndez, Sonia; Huerta, Antonio 26 2014 PGD for solving multidimensional and parametric models. Zbl 1312.93023 Chinesta, Francisco; Cueto, Elías; Huerta, Antonio 8 2014 Model order reduction based on proper orthogonal decomposition. Zbl 1312.93024 Cueto, Elías; Chinesta, Francisco; Huerta, Antonio 2 2014 On the natural stabilization of convection dominated problems using high order Bubnov-Galerkin finite elements. Zbl 1368.65124 Cai, Q.; Kollmannsberger, S.; Sala-Lardies, E.; Huerta, A.; Rank, E. 1 2014 PGD-based computational vademecum for efficient design, optimization and control. Zbl 1354.65100 Chinesta, F.; Leygue, A.; Bordeu, F.; Aguado, J. V.; Cueto, E.; Gonzalez, D.; Alfaro, I.; Ammar, A.; Huerta, A. 55 2013 Efficiency of high-order elements for continuous and discontinuous Galerkin methods. Zbl 1352.65512 Huerta, Antonio; Angeloski, Aleksandar; Roca, Xevi; Peraire, Jaime 44 2013 Hybridizable discontinuous Galerkin \(p\)-adaptivity for wave propagation problems. Zbl 1455.65211 Giorgiani, Giorgio; Fernández-Méndez, Sonia; Huerta, Antonio 23 2013 One-dimensional shock-capturing for high-order discontinuous Galerkin methods. Zbl 1431.65171 Casoni, E.; Peraire, J.; Huerta, Antonio 14 2013 High-order continuous and discontinuous Galerkin methods for wave problems. Zbl 1455.65212 Giorgiani, Giorgio; Modesto, David; Fernández-Méndez, Sonia; Huerta, Antonio 12 2013 Streamline upwind/Petrov-Galerkin-based stabilization of proper generalized decompositions for high-dimensional advection-diffusion equations. Zbl 1352.76053 González, David; Cueto, Elías; Chinesta, Francisco; Díez, Pedro; Huerta, Antonio 7 2013 Computable exact bounds for linear outputs from stabilized solutions of the advection-diffusion-reaction equation. Zbl 1352.65533 Parés, Núria; Díez, Pedro; Huerta, Antonio 5 2013 A simple shock-capturing technique for high-order discontinuous Galerkin methods. Zbl 1253.76058 Huerta, Antonio; Casoni, E.; Peraire, Jaime 40 2012 High-order implicit time integration for unsteady incompressible flows. Zbl 1412.65085 Montlaur, A.; Fernandez-Mendez, S.; Huerta, Antonio 8 2012 3D NURBS-enhanced finite element method (NEFEM). Zbl 1242.78032 Sevilla, Ruben; Fernández-Méndez, Sonia; Huerta, Antonio 62 2011 Comparison of high-order curved finite elements. Zbl 1242.65244 Sevilla, Ruben; Fernández-Méndez, Sonia; Huerta, Antonio 25 2011 An error estimator for separated representations of highly multidimensional models. Zbl 1231.74503 Ammar, A.; Chinesta, F.; Diez, P.; Huerta, A. 35 2010 Discontinuous Galerkin methods for the Navier-Stokes equations using solenoidal approximations. Zbl 1377.76008 Montlaur, A.; Fernandez-Mendez, S.; Peraire, J.; Huerta, A. 14 2010 A flux-free a posteriori error estimator for the incompressible Stokes problem using a mixed FE formulation. Zbl 1231.76154 Larsson, Fredrik; Díez, Pedro; Huerta, Antonio 11 2010 Modeling, with a unified level-set representation, of the expansion of a hollow in the ground under different physical phenomena. Zbl 1398.74320 Cottereau, Régis; Díez, Pedro; Huerta, Antonio 1 2010 Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free method. Zbl 1297.74116 Cottereau, Régis; Díez, Pedro; Huerta, Antonio 23 2009 Upper and lower bounds in limit analysis: Adaptive meshing strategies and discontinuous loading. Zbl 1155.74313 Muñoz, J. J.; Bonet, J.; Huerta, A.; Peraire, J. 19 2009 Exact bounds for linear outputs of the advection-diffusion-reaction equation using flux-free error estimates. Zbl 1195.65157 Parés, Núria; Díez, Pedro; Huerta, Antonio 19 2009 One-dimensional shock-capturing for high-order discontinuous Galerkin methods. Zbl 1189.76335 Casoni, E.; Peraire, J.; Huerta, A. 3 2009 NURBS-enhanced finite element method (NEFEM). Zbl 1162.65389 Sevilla, Ruben; Fernández-Méndez, Sonia; Huerta, Antonio 89 2008 Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations. Zbl 1338.76062 Montlaur, A.; Fernandez-Mendez, S.; Huerta, A. 34 2008 Stability of incompressible formulations enriched with X-FEM. Zbl 1194.74426 Legrain, G.; Moës, N.; Huerta, A. 32 2008 Bounds of functional outputs for parabolic problems. I: Exact bounds of the discontinuous Galerkin time discretization. Zbl 1194.65109 Parés, Núria; Díez, Pedro; Huerta, Antonio 27 2008 Bounds of functional outputs for parabolic problems. II: Bounds of the exact solution. Zbl 1194.65110 Parés, Núria; Díez, Pedro; Huerta, Antonio 24 2008 NURBS-enhanced finite element method for Euler equations. Zbl 1140.76023 Sevilla, R.; Fernández-Méndez, S.; Huerta, A. 21 2008 Bounds for quantities of interest and adaptivity in the element-free Galerkin method. Zbl 1195.65175 Vidal, Yolanda; Parés, Núria; Díez, Pedro; Huerta, Antonio 2 2008 Stabilized updated Lagrangian corrected SPH for explicit dynamic problems. Zbl 1194.74541 Vidal, Y.; Bonet, J.; Huerta, A. 31 2007 Subdomain-based flux-free a posteriori error estimators. Zbl 1193.65191 Parés, Núria; Díez, Pedro; Huerta, Antonio 58 2006 The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations. Zbl 1193.74041 Parés, N.; Bonet, J.; Huerta, A.; Peraire, J. 45 2006 An elastic plastic damage formulation for concrete: application to elementary tests and comparison with an isotropic damage model. Zbl 1251.74029 Jason, Ludovic; Huerta, Antonio; Pijaudier-Cabot, Gilles; Ghavamian, Shahrokh 17 2006 Updated Lagrangian formulation for corrected smooth particle hydrodynamics. Zbl 1198.76107 Huerta, Antonio; Vidal, Yolanda; Bonet, Javier 4 2006 Mesh projection between parametric surfaces. Zbl 1105.65309 Roca, X.; Sarrate, J.; Huerta, A. 2 2006 A new damage model based on non-local displacements. Zbl 1122.74496 Rodríguez-Ferran, Antonio; Morata, Irene; Huerta, Antonio 8 2005 Imposing essential boundary conditions in mesh-free methods. Zbl 1060.74665 Fernández-Méndez, Sonia; Huerta, Antonio 183 2004 Pseudo-divergence-free element free Galerkin method for incompressible fluid flow. Zbl 1060.76626 Huerta, Antonio; Vidal, Yolanda; Villon, Pierre 41 2004 Computing bounds for linear functionals of exact weak solutions to Poisson’s equation. Zbl 1084.65107 Sauer-Budge, A. M.; Bonet, J.; Huerta, A.; Peraire, J. 24 2004 A comparison of two formulations to blend finite elements and mesh-free methods. Zbl 1059.65104 Huerta, Antonio; Fernández-Méndez, Sonia; Liu, Wing Kam 16 2004 Efficient and reliable nonlocal damage models. Zbl 1060.74592 Rodríguez-Ferran, A.; Morata, I.; Huerta, A. 13 2004 Meshfree & particle based approaches in computational mechanics. Zbl 1116.74303 4 2004 Numerical modelling of void inclusions in porous media. Zbl 1047.76052 Rodríguez-Ferran, Antonio; Sarrate, Josep; Huerta, Antonio 1 2004 Recovering lower bounds of the error by postprocessing implicit residual a posteriori error estimates. Zbl 1052.65105 Díez, Pedro; Parés, Núria; Huerta, Antonio 17 2003 Locking in the incompressible limit: pseudo-divergence-free element free Galerkin. Zbl 1112.74545 Vidal, Yolanda; Villon, Pierre; Huerta, Antonio 16 2003 Efficient and accurate approach for powder compaction problems. Zbl 1090.74546 Pérez-Foguet, A.; Rodríguez-Ferran, A.; Huerta, A. 8 2003 Time accurate consistently stabilized mesh-free methods for convection dominated problems. Zbl 1032.76034 Huerta, Antonio; Fernández-Méndez, Sonia 7 2003 Convergence of finite elements enriched with mesh-less methods. Zbl 1049.65117 Fernández-Méndez, Sonia; Díez, Pedro; Huerta, Antonio 4 2003 Goal-oriented adaptivity for shell structures. Error assessment and remeshing criteria. Zbl 1171.74439 Díez, Pedro; Morata, Irene; Huerta, Antonio 1 2003 Numerical representation of the quality measures of triangles and triangular meshes. Zbl 1023.65012 Sarrate, J.; Palau, J.; Huerta, A. 1 2003 Arbitrary Lagrangian-Eulerian (ALE) formulation for hyperelastoplasticity. Zbl 1169.74630 Rodríguez-Ferran, Antonio; Pérez-Foguet, Augustí; Huerta, Antonio 13 2002 Time-accurate solution of stabilized convection-diffusion-reaction equations. I: Time and space discretization. Zbl 1003.65113 Huerta, Antonio; Donea, Jean 7 2002 Time-accurate solution of stabilized convection-diffusion-reaction equations. II: Accuracy analysis and examples. Zbl 1003.65114 Huerta, Antonio; Roig, Bernardino; Donea, Jean 7 2002 Coupling finite elements and particles for adaptivity: An application to consistently stabilized convection-diffusion. Zbl 1012.65120 Fernández-Méndez, Sonia; Huerta, Antonio 4 2002 Finite elements interpolations refinement by meshless methods. (Enrichissement des interpolations d’éléments finis en utilisant des méthodes sans maillage.) Zbl 1042.65085 Huerta, Antonio; Fernández-Méndez, Sonia; Díez, Pedro 3 2002 Automatic generation of nonstructured and quadrilateral meshes for curved surfaces in \(\mathbb R^3\). Zbl 1112.74539 Sarrate, Josep; Huerta, Antonio 2 2002 Locking in the incompressible limit: pseudo-divergence-free element free Galerkin. Zbl 1120.74837 Vidal, Yolanda; Villon, Pierre; Huerta, Antonio 2 2002 The efficient computation of bounds for functionals of finite element solutions in large strain elasticity. Zbl 1099.74543 Bonet, J.; Huerta, A.; Peraire, J. 2 2002 Implementation of a stabilized finite element formulation for the incompressible Navier-Stokes equations based on a pressure gradient projection. Zbl 1074.76032 Codina, Ramon; Blasco, Jordi; Buscaglia, Gustavo; Huerta, Antonio 26 2001 Consistent tangent matrices for substepping schemes. Zbl 1002.74098 Pérez-Foguet, Agustí; Rodríguez-Ferran, Antonio; Huerta, Antonio 23 2001 Locking in the incompressible limit for the element-free Galerkin method. Zbl 1065.74635 Huerta, Antonio; Fernández-Méndez, Sonia 21 2001 Arbitrary Lagrangian-Eulerian formulation for fluid-rigid body interaction. Zbl 0985.76055 Sarrate, Josep; Huerta, Antonio; Donea, Jean 21 2001 An improved algorithm to smooth graded quadrilateral meshes preserving the prescribed element size. Zbl 0993.65139 Sarrate, J.; Huerta, A. 6 2001 Consistent tangent matrices for density-dependent finite plasticity models. Zbl 1066.74015 Pérez-Foguet, Agustí; Rodríguez-Ferran, Antonio; Huerta, Antonio 4 2001 Adaptive analysis based on error estimation for nonlocal damage models. Zbl 1014.74073 Rodríguez-Ferran, Antonio; Arbós, Ivan; Huerta, Antonio 2 2001 Enrichment and coupling of the finite element and meshless methods. Zbl 0976.74067 Huerta, Antonio; Fernández-Méndez, Sonia 86 2000 Numerical differentiation for local and global tangent operators in computational plasticity. Zbl 0961.74078 Pérez-Foguet, Agustí; Rodríguez-Ferran, Antonio; Huerta, Antonio 24 2000 Error estimation including pollution assessment for nonlinear finite element analysis. Zbl 0964.74067 Huerta, Antonio; Díez, Pedro 22 2000 Efficient unstructured quadrilateral mesh generation. Zbl 1004.74076 Sarrate, Josep; Huerta, Antonio 16 2000 High-order accurate time-stepping schemes for convection-diffusion problems. Zbl 0984.76044 Donea, J.; Roig, B.; Huerta, A. 15 2000 Numerical differentiation for nontrivial consistent tangent matrices: An application to the MRS-Lade model. Zbl 1005.74079 Pérez-Foguet, Agustí; Rodríguez-Ferran, Antonio; Huerta, Antonio 15 2000 Error estimation and adaptivity for nonlocal damage models. Zbl 0996.74078 Rodríguez-Ferran, Antonio; Huerta, Antonio 10 2000 Adaptive finite element strategies based on error assessment. Zbl 0968.74066 Huerta, Antonio; Rodríguez-Ferran, Antonio; Díez, Pedro; Sarrate, Josep 30 1999 A unified approach to remeshing strategies for finite element \(h\)-adaptivity. Zbl 0942.74071 Díez, Pedro; Huerta, Antonio 28 1999 Adaptive analysis of yield line patterns in plates with the arbitrary Lagrangian-Eulerian method. Zbl 0958.74055 Askes, H.; Rodríguez-Ferran, A.; Huerta, A. 10 1999 Adapting Broyden method to handle linear constraints imposed via Lagrange multipliers. Zbl 0973.74091 Rodríguez-Ferran, Antonio; Huerta, Antonio 4 1999 A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm. Zbl 0935.76041 Blasco, J.; Codina, R.; Huerta, A. 36 1998 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,225 Authors 75 Huerta, Antonio 46 Díez, Pedro 32 Chinesta, Francisco 25 Sevilla, Ruben 23 Ladevèze, Pierre 21 Cueto, Elias 21 Fernández-Méndez, Sonia 20 Chen, Jiun-Shyan 19 Liu, Wing Kam 17 Chamoin, Ludovic 16 Parés, Núria 15 Bonet, Javier 15 Rabczuk, Timon 14 Rodríguez-Ferran, Antonio 13 Codina, Ramon 13 Gil, Antonio J. 12 Ammar, Amine 12 Giacomini, Matteo 12 Sarrate, Josep 11 Duan, Qinglin 11 Schillinger, Dominik 11 Wall, Wolfgang A. 10 Belytschko, Ted Bohdan 10 Bordas, Stéphane Pierre Alain 10 Cockburn, Bernardo 10 Cruchaga, Marcela A. 10 Li, Xikui 10 Nguyen-Xuan, Hung 10 Ródenas, Juan José 10 Zlotnik, Sergio 9 Fries, Thomas-Peter 9 Lee, Chun Hean 9 Rank, Ernst 9 Zhang, Lucy T. 9 Zhang, Xiaohua 8 Aguado, Jose Vicente 8 Askes, Harm 8 Bazilevs, Yuri 8 Behr, Marek A. 8 Buscaglia, Gustavo Carlos 8 Hauke, Guillermo 8 Khoei, Amir R. 8 Li, Xiaolin 8 Nguyen, Ngoc Cuong 8 Ouyang, Jie 8 Wang, Dongdong 8 Zhang, Qinghui 7 Alfaro, Iciar 7 Babuška, Ivo 7 Baiges, Joan 7 Beck, Andrea D. 7 Dettmer, Wulf G. 7 Fuenmayor, Francisco Javier 7 Gravouil, Anthony 7 Kronbichler, Martin 7 Larsson, Fredrik 7 Legrain, Gregory 7 Liu, Gui-Rong 7 Moës, Nicolas 7 Munz, Claus-Dieter 7 Néron, David 7 Perić, Djordje 7 Runesson, Kenneth 7 Youn, Sung-Kie 7 Zhong, Hongzhi 6 Auricchio, Ferdinando 6 Blasco, Jordi 6 Combescure, Alain 6 Cottereau, Régis 6 Elgeti, Stefanie 6 Irisarri, Diego 6 Kim, Hyunjung 6 Kim, Tae-Yeon 6 Leygue, Adrien 6 Roca, Xevi 6 Ruess, Martin 6 Ruiz-Gironés, Eloi 6 Steinmann, Paul 6 Van Brummelen, Harald 6 Wang, Bingbing 6 Zhang, Hongwu 6 Zhuang, Xiaoying 5 Augarde, Charles Edward 5 Badia, Santiago 5 Bui, Tinh Quoc 5 Celentano, Diego J. 5 Desmet, Wim 5 Du, Xiuli 5 Dumbser, Michael 5 Fabien, Maurice S. 5 Florentin, Eric 5 Hassan, Oubay 5 Hughes, Thomas J. 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