Papers in Journals


Nasika C., Díez P., Gerard P., Massart T.J., Zlotnik S., Discrete empirical interpolation for hyper-reduction of hydro-mechanical problems in groundwater flow through soil, International Journal for Numerical and Analytical Methods in Geomechanics (incorporating Mechanics of Cohesive-frictional Materials), First Published: January 2023.


Cavaliere, F., Zlotnik, S., Sevilla, R., Larrayoz, X., Diez, P., Nonintrusive parametric NVH study of a vehicle body structure, Mechanics based design of structures and machines, Ahead-of-print, pp. 1-26, 2022.

Cavaliere, F., Zlotnik, S., Revilla, R., Larrayoz, X., Díez, P., Nonintrusive parametric solutions in structural dynamics, Computer Methods in Applied Mechanics and Engineering, vol. 389, 2022.

El-Ghamrawy K., Zlotnik S., Auricchio F., Díez P., Proper generalized decomposition solutions for composite laminates parametrized with fibre orientations, Computational Mechanics, 2022.

Larion Y., Chen G., Zlotnik S., Díez P., Seetharam S., Massart T.J., Using Reduced Basis Approximation for efficient surrogate-based inverse identification of thermo-hydro-mechanical parameters from an in situ heating test, Rock Mechanics and Rock Engineering, vol. 55, issue 9, pp. 5739-5757, 2022.

Muixí A., Zlotnik S., Calvet P., Espanol M., Lodoso-Torrecilla I., Ginebra M.-P., Díez P., García-González A., A multiparametric advection-diffusion reduced-order model for molecular transport in scaffolds for osteoinduction, Biomechanics and Modeling in Mechanobiology, vol. 21, issue 4, pp. 1099-1115, 2022.

Muixí A., Zlotnik S., García-González A., Díez P., Physics-based manifold learning in scaffolds for tissue engineering: Application to inverse problems, Frontiers in Materials, vol. 9, 2022.

Nasika, C., Diez, P., Gerard, P., Massart, T., Zlotnik, S., Towards real time assessment of earthfill dams via Model Order Reduction, Finite elements in analysis and design, vol. 199, pp. 1-15, art. n. 103666, 2022.

Rocas M., García-González A., Larrayoz X., Díez P., Adaptive surrogates of crashworthiness models for multi-purpose engineering analyses accounting for uncertainty, Finite Elements in Analysis and Design, vol. 203, 2022.


Díez, P., Muixí, A., Zlotnik, S., García-González, A., Nonlinear dimensionality reduction for parametric problems: A kernel proper orthogonal decomposition, Computer Methods in Applied Mechanics and Engineering, Vol. 122 (24), pp. 7306-7327, 2021.

Muixí, A., Marco, O., Rodríguez-Ferran, A., Fernández-Méndez, S., A combined XFEM phase-field computational model for crack growth without remeshing, Computational Mechanics, Vol. 67, pp. 231-249, 2021.

Parés, N., Nguyen, N., Díez, P., Peraire, J., A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: Application to the hybridizable discontinuous Galerkin method, Computer Methods in Applied Mechanics and Engineering, Vol. 386, art. n. 114088, 2021.

Reis, J., Moitinho de Almeida, J.P., Díez, P., Zlotnik, S., Error estimation for proper generalized decomposition solutions: Dual analysis and adaptivity for quantities of interest, International Journal for Numerical Methods in Engineering, Vol. 122 (3), pp.752-776, 2021.


Díez, P., Zlotnik, S., García González, A., Huerta, A., Encapsulated PGD Algebraic Toolbox Operating with High Dimensional Data, Archives of Computational Methods in Engineering, 2020.

Garikapati, H., Zlotnik, S., Díez, P., Verhoosel, C.V., van Brummelen, E.H., A Proper Generalized Decomposition (PGD) approach to crack propagation in brittle materials: with application to random field material properties, Computational Mechanics, Vol. 65 (2) pp. 451-473, 2020.

Giacomini, M., Veroy, K., Díez, P., Special Issue on Credible High-Fidelity and Low-Cost Simulations in Computational Engineering, International Journal for Numerical Methods in Engineering, Vol. 121 (23), pp. 5151-5152, 2020.

González, D., García-González, A., Chinesta, F., Cueto, E., A Data-Driven Learning Method for Constitutive Modeling: Application to Vascular Hyperelastic Soft Tissues, Materials, Vol. 13 (10), art. n. 2319, 2020.

Larion, Y., Zlotnik, S., Massart, T.J., Díez, P., Building a certified reduced basis for coupled thermo-hydro-mechanical systems with goal-oriented error estimation, Computational Mechanics, Vol. 66 (3), pp. 559-573, 2020.

Li, Y., Abbas, A., Li, C., Sun, T., Zlotnik, S., Song, T., Zhang, L., Yao, Z., Yao, Y., Numerical modeling of failed rifts in the northern South China Sea margin: implications for continental rifting and breakup, Journal of Asian Earth Sciences, Vol. 199, art. n. 104402, 2020.

Massanero C., Afonso J.C., Zyserman F., Zlotnik S., A reduced order approach for probabilistic inversions of 3-D magnetotelluric data I: general formulation, Geophysiscal Journal International, Vol. 223 (3), pp.1837-1863, 2020.

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

Muixí, A., Fernández-Méndez, S., Rodríguez-Ferran, A., Adaptive refinement for phase-field models of brittle fracture based on Nitsche’s method, Computational Mechanics, Vol. 66, pp. 69-85, 2020.

Muixí, A., Rodríguez-Ferran, A., Fernández-Méndez, S., A hybridizable discontinuous Galerkin phase-field model for brittle fracture with adaptive refinement, International Journal for Numerical Methods in Engineering, Vol. 121 (6), pp. 1147-1169, 2020.

Ortega-Gelabert, O., Zlotnik, S., Afonso, J.C., Díez, P., Fast Stokes Flow Simulations for Geophysical-Geodynamic Inverse Problems and Sensitivity Analyses Based on Reduced Order Modeling, Journal of Geophysical Research: Solid Earth, Vol. 125 (3), art. n. e2019JB018314, 2020.

Peral, M., Ruh, J., Zlotnik, S., Funiciello, F., Fernàndez, M., Vergés, J., Gerya, T., Analog and numerical experiments of double subduction systems with 2 opposite polarity in adja- cent segments, Geochemistry, Geophysics, Geosystems, Vol. 21 (6), art. n. e2020GC009035, 2020.

Reis, J., Moitinho de Almeida, J.P., Díez, P., Zlotnik, S., Error estimation and adaptivity for PGD based on complementary solutions applied to a simple 1D problem, Advanced Modeling and Simulation in Engineering Sciences, Vol. 7 (1), art. n. 42, 2020.

Reis, J., Moitinho de Almeida, J.P., Díez, P., Zlotnik, S., Error estimation for proper generalized decomposition solutions: Dual analysis and adaptivity for quantities of interest,International Journal for Numerical Methods in Engineering Vol. 121 (23), pp.5275-5294, 2020.

Rocas, M., García-González, A., Larráyoz, X., Díez, P., Nonintrusive Stochastic Finite Elements for Crashworthiness with VPS/Pamcrash, Archives of Computational Methods in Engineering, Vol. 27 (4), pp.1337-1362, 2020.

Seoane, M., Ledger, P.D., Gil, A.J., Zlotnik, S., Mallett, M., A Combined Reduced Order-Full Order Methodology for the Solution of 3D Magneto-Mechanical Problems with Application to MRI Scanners, Int J Numer Methods Eng., Vol. 121 (16), pp.3529-3559, 2020.

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

Vermiglio, S., Champaney, V., Sancarlos, A., Daim, F., Kedzia, J.C., Duval, J.L., Díez, P., Chinesta, F., Parametric electromagnetic analysis of radar-based advanced driver assistant systems, Sensors, Vol. 20 (19), pp. 1-15, 2020.

Zhou, D., Li, C., Zlotnik, S., Wang, J., Correlations between oceanic crustal thickness, melt volume, and spreading rate from global gravity observation, Marine Geophysical Research, Vol. 41 (14), 2020.


Estefanía Peña, Alberto García, Pablo Sáez, Juan A. Peña, Myriam Cilla, Miguel Angel Martínez, Mechanical and Microstructural Behavior of Vascular Tissue, Advances in Biomechanics and Tissue Regeneration, pp.63-78, 2019.

Garikapati, H, Verhoosel, C. V., van Brummelen, H, Zlotnik, S, Díez, P., Sampling-based stochastic analysis of the PKN model for hydraulic fracturing, Computational Geosciences, Vol. 23 (1), pp. 81-105, 2019.

Luraghi, G., Migliavacca, F., García-González, A., Chiastra, C., Rossi, A., Cao, D., Stefanini, G., Rodriguez Matas, J.F., On the Modeling of Patient-Specific Transcatheter Aortic Valve Replacement: A Fluid–Structure Interaction Approach, Cardiovascular Engineering and Technology, Vol. 10, pp. 437-455, 2019.

Parés, N., Díez, P., A new 3D equilibrated residual method improving accuracy and efficiency of flux‐free error estimates, International Journal for Numerical Methods in Engineering , Vol. 120, 391-432, 2019.


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

Dorribo, D., Greve, L., Díez, P., Arias, I., Larrayoz-Izcara, X., Numerical estimation of the bearing capacity of resistance spot welds in martensitic boron steels using a J-integral fracture criterion, Theoretical and Applied Fracture Mechanics, Vol. 96, pp. 497-508, 2018.

Garcia, R., Diez, P., Borzacchiello, D. and Chinesta, F., Algebraic and Parametric Solvers for the Power Flow Problem: Towards Real-Time and Accuracy-Guaranteed Simulation of Electric Systems, Archives of Computational Methods in Engineering, Vol. 25 pp. 1003-1026, 2018.

García-González, A., Jacchetti, E., Marotta, R., Tunesi,M. Rodríguez Matas, J.F. and Raimondi, M.T., The Effect of Cell Morphology on the Permeability of the Nuclear Envelope to Diffusive Factors, Frontiers in Physiology – Computational Physiology and Medicine , Vol. 9 p. 925, 2018.

Malik, M.H., Borzacchiello, D., Chinesta, F., Diez, P., Inclusion of frequency-dependent parameters in power transmission lines simulation using harmonic analysis and proper generalized decomposition, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Vol. 31 (5) Article number e2331, 2018.

Oliveira, B., Afonso, J. C., Zlotnik S. and Díez, P., Numerical Modelling of Multi-Phase Multi-Component. Reactive Transport in the Earth's interior, Geophysical Journal International , Vol. 212 (1), pp. 345-388, 2018.

Peral M., Király A., Zlotnik S., Funiciello F., Fernàndez M., Faccenna C. and Vergés J., Opposite Subduction Polarity in Adjacent Plate Segments, Tectonics, Vol. 37, pp. 3285-3302, 2018

Sibileau, A., García-González, A., Auricchio, F., Morganti, S. and Díez, P., Explicit parametric solutions of lattice structures with Proper Generalized Decomposition (PGD): Applications to the design of 3D-printed architectured materials, Computational Mechanics, Vol. 62 (4), pp. 871-891, 2018.

Zou, X., Conti, M., Díez, P. and Auricchio, F., A non-intrusive proper generalized decomposition scheme with application in biomechanics, International Journal for Numerical Methods in Engineering, Vol. 113, pp. 230-251, 2018.