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Publications by Sergio Zlotnik


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

A Proper Generalized Decomposition (PGD) approach to crack propagation in brittle materials: with application to random field material properties
Garikapati, H.; Zlotnik, S.; Díez, P.; Verhoosel, C.V. and van Brummelen, E.H.
To appear in Computational Mechanics


Analog and numerical experiments of double subduction systems with opposite polarity in adjacent segments
Mireia Peral, Jonas Ruh, Sergio Zlotnik, Francesca Funiciello, Manel Fernàndez, Jaume Vergés, Taras Gerya
Geochemistry, Geophysics, Geosystems, Vol. 21, Article number: , 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

Fast Stokes Flow Simulations for Geophysical-Geodynamic Inverse Problems and Sensitivity Analyses Based On Reduced Order Modeling
O. Ortega-Gelabert, S. Zlotnik, J. C. Afonso and P. D\’iez
Journal of Geophysical Research – Solid Earth, Vol. 125, Article number: , 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


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


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

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


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

The main factors and rules of stress shadow of perpendicular cracks
Wang, D., Zhou, F., Ge, H., Zlotnik, S., Yang, X., Peng, J.
Journal of Shenzhen University Science and Engineering, Vol. 34, Issue 4, pp. 331-440, 2017

Proper Generalized Decomposition solution of the parameterized Helmholtz problem: application to inverse geophysical problems.
Signorini, M., Zlotnik, S. and Díez, P.
International Journal for Numerical Methods in Engineering, Vol. 109, Issue 8, pp. 1085-1102, 2017


An error estimator for real-time simulators based on model order reduction
Alfaro, I.; González, D.; Zlotnik, S.; Díez, P.; Cueto, E. and Chinesta, F.
Advanced Modeling and Simulation in Engineering Sciences, Vol. 2, Issue 1, pp. 1-30, 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

An efficient and general approach for implementing thermodynamic phase equilibria information in geophysical and geodynamic studies
Afonso, JC, Zlotnik, S. and Díez, P.
Geochemistry, Geophysics, Geosystems, Vol. 16, Issue 10, pp. 3767-3777, 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

A Lagrangian-Eulerian Finite Element algorithm for advection-diffusion-reaction problems with phase change
Oliveira, B. ; Afonso, J. C.; Zlotnik S.
Computer Methods in Applied Mechanics and Engineering, Vol. 300, pp. 375-401, 2015


Coupled mantle dripping and lateral dragging controlling the lithosphere structure of the NW-Moroccan margin and the Atlas Mountains: A numerical experiment
Zlotnik, S.; Jiménez-Munt, I; and Fernández, M.
Lithos, Vol. 189, pp. 16-27, 2014


A stable XFEM formulation for multi-phase problems enforcing the accuracy of the fluxes through Lagrange multipliers
Díez, P.; Cottereau, R.; and Zlotnik, S.
International Journal for Numerical Methods in Engineering, Vol. 96, Issue 5, pp. 303-322, 2013


Enforcing interface flux continuity in enhanced XFEM: stability analysis
Díez, P.; Zlotnik, S. and Cottereau, R.
Oberwolfach Reports, Vol. 9, Num: 1, pp. 523-526, 2012


Subduction dynamics and the origin of Andean orogeny and Bolivian Orocline
F. Capitanio, Faccena, C.; Zlotnik, S. and Stegman, D.
Nature, Vol. 480, pp. 83-86, 2011

Melt fracturing and healing: a mechanism for rhyolite magma degassing and origin of obsidian
Cabrera, A.; Weinberg, R.; Wrigth, H.; Zlotnik, S. and Cas, R.
Geology, Vol. 39, pp. 67-70, 2011

The subductability of continental lithosphere: the before and after story
Afonso, J.C. and Zlotnik, S.
Frontiers in Earth Sciences, Vol. 1, pp. 53-86, 2011


Controls on subduction reorganization in the Hellenic margin, eastern Mediterranean
Capitanio, F.; Zlotnik, S. and Faccena, C.
Geophysical Research Letters, Vol. 37, pp. 1-5, 2010

Assembling sparse matrices in MATLAB
Zlotnik, S. and Díez, P.
Communications in Numerical Methods in Engineering, Vol. 26, Issue 6, pp. 760-769, 2010


Hierarchical X-FEM for n-phase flow (n>2)
Zlotnik, S., Díez, P.
Computer Methods in Applied Mechanics and Engineering, Vol. 198 Issues 30-32, pp. 2329-2338, 2009


Effects of compositional and rheological stratifications on small-scale convection under the oceans: implications for the thickness of the oceanic lithosphere and seafloor flattening
Afonso, J.C.; Zlotnik, S. and Fernández, M.
Geophysical Research Letters, Vol. 35, pp. 1-5, 2008

Small-scale gravitational instabilities under the oceans: implications for the evolution of oceanic lithosphere and its expression in geophysical observables
Zlotnik, S., Afonso, J.C., Díez, P, and Fernández, M.
Philosophical Magazine, Vol. 88, Issues 28-29, pp. 3197-3217, 2008

Modelling Gravitational Instabilities: Slab Break-off and Rayleigh-Taylor Diapirism
Zlotnik, S., Fernández, M., Díez, P. and Vergés, J.
Pure and Applied Geophysics, Vol. 165, Issue 8, pp. 1491-1510, 2008


Numerical Modelling of Tectonic Plates Subduction using X-FEM
Zlotnik, S., Díez, P., Fernández, M. and Vergés, J.
Computer Methods in Applied Mechanics and Engineering, Vol. 196, Issues 41-44, pp. 4283-4293, 2007