Publications
PhD Thesis
Ph.D. dissertation "Point-set Manifold Processing for Computational Mechanics: thin shells, reduced order modeling, cell motility and molecular conformations", advised by Marino Arroyo. Thesis Committee: Timon Rabczuk, Fehmi Cirak, Antonio Huerta.
Special doctoral award from the Universitat Politècnica de Catalunya for the 2012-2013 academic year. Research area: Sciences. [Facultat de Matemàtiques i Estadística]
ECCOMAS PhD Awards - 2012 Finalist selected by the local-regional ECCOMAS Association.
Spanish Society of Numerical Methods in Engineering (SEMNI) award for the best PhD thesis in 2012 on Numerical Methods in Engineering.
PhD Thesis dissertation (pdf) at the electronic library of the Universitat Politècnica de Catalunya. [Tesis Doctorals en Xarxa]
Book Chapter
N. Muzi, F. Camussoni, Luis G. Moyano, D. Millán. "Characterizing the Biomechanics of an Endovascular Intervention in Cerebral Aneurysms Using Kirchhoff–Love Shells of Nonuniform Thickness" . In: Computational Biomechanics for Medicine. MICCAI 2022. Springer, Cham, 2022. [abstract from publisher, preprint].
Journals
F. Ghanbari, E. G. Rodriguez, D. Millán, F. Simonetti, A. P. Argüelles, C. Peco. "Modeling of wave propagation in polycrystalline ice with hierarchical density gradients". Finite Elements in Analysis and Design, Vol. 217, 2023. [abstract from publisher, DOI 10.1016/j.finel.2023.103916].
K. Mountris, G. Bourantas, D. Millán, G. Joldes, K. Miller, E. Pueyo, A. Wittek. "Cell‐based Maximum Entropy Approximants for Three‐Dimensional Domains: Application in Large Strain Elastodynamics using the Meshless Total Lagrangian Explicit Dynamics Method". International Journal for Numerical Methods in Engineering, Vol. 121, Nr. 3, pp. 477–491, 2020. [abstract from publisher, arXiv preprint].
A. Torres-Sánchez, D. Millán, M. Arroyo. "Modelling fluid deformable surfaces with an emphasis on biological interfaces". Journal of Fluid Mechanics, Vol. 872, 218-271, 2019. [abstract from publisher, arXiv preprint]. Discussed by A. Voigt in Fluid deformable surfaces.
B. Li, D. Millán, A. Torres-Sánchez, B. Roman and M. Arroyo. "A variational model of fracture for tearing brittle thin sheets". Journal of the Mechanics and Physics of Solids, Vol. 119, 334-348, 2018. [abstract from publisher, preprint].
B. Hashemian, D. Millán and M. Arroyo. "Charting molecular free-energy landscapes with an atlas of collective variables". Journal of Chemical Physics, Vol. 145, Nr. 17, 174109, 2016. [abstract from publisher, preprint].
F. Amiri, D. Millán, M. Arroyo, M. Silani, and T. Rabczuk. "Fourth order phase-field model for local max–ent approximants applied to crack propagation". Computer Methods in Applied Mechanics and Engineering, Vol. 312, pp. 254-275, 2016. [abstract from publisher, preprint]. Special Issue on Phase Field Approaches to Fracture.
A. Abdollahi, C. Peco, D. Millán, M. Arroyo, G. Catalan and I. Arias. "Fracture toughening and toughness asymmetry induced by flexoelectricity". Physical Review B, Vol. 92, Nr. 9, 094101, 2015. [abstract from publisher, preprint].
P. Mosaffa, N. Adasipour, D. Millán, A. Rodríguez-Ferran and J.J. Muñoz. "Cell-centred model for the simulation of curved cellular monolayers". Computational Particle Mechanics, Vol. 2, Nr. 4, pp. 359-370, 2015. [open access article from publisher, preprint].
A. Abdollahi, D. Millán, C. Peco, M. Arroyo and I. Arias. "Revisiting pyramid compression to quantify flexoelectricity: A 3D simulation study". Physical Review B, Vol. 91, Nr. 10, 104103, 2015. [abstract from publisher, preprint].
G.F. Miranda Jr., G. Giraldi, C. Thomaz, and D. Millán. “Composition of Local Normal Coordinates and Polyhedral Geometry in Riemannian Manifold Learning”. International Journal of Natural Computing Research, Vol. 5, Nr. 2, pp. 37-68, 2015. [abstract from publisher, preprint].
B. Li, C. Peco, D. Millán, I. Arias and M. Arroyo. "Phase-field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy". International Journal for Numerical Methods in Engineering, Vol. 102, Nr. 3-4, pp. 711-727, 2015. [abstract from publisher, preprint]. Special Issue in Tribute to Prof. Ted Belytschko.
C. Peco, D. Millán, A. Rosolen and M. Arroyo. "Efficient implementation of meshfree Galerkin methods for large-scale problems with an emphasis on maximum entropy approximants". Computers and Structures, Vol. 150, pp. 52–62, 2015. [abstract from publisher, preprint].
D. Millán, N. Sukumar and M. Arroyo. "Cell-based maximum entropy approximants". Computer Methods in Applied Mechanics and Engineering, Vol. 284, pp. 712–731, 2015. [abstract from publisher, preprint]. Isogeometric Analysis Special Issue.
A. Abdollahi, C. Peco, D. Millán, M. Arroyo and I. Arias. "Computational evaluation of the flexoelectric effect in dielectric solids", Journal of Applied Physics, Vol. 116, 093502, 2014. [abstract from publisher, preprint]. One of the most read papers in JAP during September 2014!
F. Amiri, D. Millán, Y. Shen, T. Rabczuk and M. Arroyo. "Phase-field modeling of fracture in linear thin shells". Theoretical and Applied Fracture Mechanics, Vol. 69, pp. 102–109, 2014. [abstract from publisher, preprint].
B. Hashemian, D. Millán and M. Arroyo. "Modeling and enhanced sampling of molecular systems with smooth and nonlinear data-driven collective variables". Journal of Chemical Physics, Vol. 139, Nr. 21, 214101, 2013. Featured article [abstract from publisher, preprint]. One of the most read papers in JCP during February 2014!
D. Millán and M. Arroyo. "Nonlinear manifold learning for model reduction in finite elastodynamics". Computer Methods in Applied Mechanics and Engineering, Vol. 261-262, pp. 118–131, 2013. [abstract from publisher, preprint].
A. Rosolen, D. Millán and M. Arroyo. "Second order convex maximum entropy approximants with applications to high order PDE", International Journal for Numerical Methods in Engineering. Vol. 94, Nr. 2, pp. 150–182, 2013. [abstract from publisher, preprint].
D. Millán, A. Rosolen. and M. Arroyo. "Nonlinear manifold learning for meshfree finite deformation thin-shell analysis", International Journal for Numerical Methods in Engineering, Vol. 93, Nr. 7, pp. 685–713, 2013. [abstract from publisher, preprint].
M. Arroyo, L. Heltai L., D. Millán and A. DeSimone. "Reverse engineering the euglenoid movement". Proceedings of the National Academy of Sciences of USA, Vol. 109, Nr. 44, pp. 17874–17879, 2012. [open access article from publisher, preprint].
D. Millán, A. Rosolen and M. Arroyo. "Thin shell analysis from scattered points with maximum-entropy approximants", International Journal for Numerical Methods in Engineering, Vol. 85, Nr. 6, pp. 723–751, 2011. [abstract from publisher, preprint].
A. Rosolen, D. Millán and M. Arroyo. "On the optimum support size in meshfree methods: a variational adaptivity approach with maximum entropy approximants", International Journal for Numerical Methods in Engineering, Vol. 82, Nr. 7, pp. 868–895, 2010. [abstract from publisher, preprint].
D. Millán, L. Dempere-Marco, J.M. Pozo, J.R. Cebral and A. Frangi. "Morphological Characterization of Intracranial Aneurysms Using 3-D Moment Invariants", IEEE Transactions on Medical Imaging, Vol. 26, Nr. 9, pp. 1270–1282, Sept. 2007. [abstract from publisher, preprint]. Special Issue on Mathematical Modeling in Biomedical Image Analysis.
J. R. Cebral, M. Castro, S. Appanaboyina, C. Putman, D. Millán and A. Frangi. "Efficient Pipeline for Image-Based Patient-Specific Analysis of Cerebral Aneurysm Hemodynamics: Technique and Sensitivity", IEEE Transactions on Medical Imaging, Vol. 24, Nr. 4, pp. 457–467, April 2005. [abstract from publisher, preprint].
Selected Conferences
E. Rodriguez, C. Peco, D. Millán. "The influence of material properties distribution of waves in 1D: application to cryoultrasonics". MECOM 2022: XXXVIII Congreso Argentino de Mecánica Computacional. Bahía Blanca, Argentine, November 1–4, 2022. [abstract from publisher].
N. Muzi, F. Camussoni, Luis G. Moyano, D. Millán. "Mesh construction and computational analysis of the biomechanics of an endovascular intervention in cerebral aneurysms using Kirchhoff–Love shells". CILAMCE 2021: XLII Ibero-Latin-American Congress on Computational Methods in Engineering and PANACM 2021: III Pan American Congress on Computational Mechanics, Rio de Janeiro, Brazil, 2021. [abstract from publisher].
D. Millán, B. Li, A. Torres-Sánchez, M. Arroyo. "Propagación de Fracturas en Cáscaras Delgadas Frágiles: Competencia entre Fractura y Pandeo". ENIEF 2017: XXIII Congreso sobre Métodos Numéricos y sus Aplicaciones, La Plata, Argentina, November 7–10, 2017. [abstract from publisher]
A. Torres-Sánchez, D. Millán, M. Arroyo. “3D dynamical simulations of the fully nonlinear mechanics of biomembranes”, ESMC: 9th European Solid Mechanics Conference, Madrid, Spain, July 6–10, 2015. [abstract from publisher]
B. Li, D. Millán, A. Torres-Sánchez, M. Arroyo. “Modeling and numerical simulation of tearing brittle thin-sheets”, ESMC: 9th European Solid Mechanics Conference, Madrid, Spain, July 6–10, 2015. [abstract from publisher]
D. Millán, F. Amiri, T. Rabczuk and M Arroyo. "Phase-field modeling of fracture in thin shells with maximum entropy approximants". WCCM 2014: 11th World Congress on Computational Mechanics, Barcelona, Spain, July 20–25, 2014. [abstract from publisher]
C. Peco, D. Millán and M. Arroyo. "Phase-field modeling of vesicle dynamics: adhesion and confinement effects". WCCM 2014: 11th World Congress on Computational Mechanics, Barcelona, Spain, July 20–25, 2014. [abstract from publisher]
B. Hashemian, D. Millán and M. Arroyo. “Multiscale modeling of molecular systems with data-driven collective variables”. SES2013: 50th Annual Technical Conference of Society of Engineering Sciences, Providence, RI, USA, July 28–31 2013. [abstract from publisher]
D. Millán, A. Rosolen, C. Peco and M. Arroyo. “Maximum entropy approximants for higher order PDEs: thin shells and phase field models”. CMN 2013: Congress on Numerical Methods in Engineering, Bilbao, Spain, June 25–28, 2013. [presentation]
M. Arroyo, L. Heltai, D. Millán and A. DeSimone. "Reverse engineering the euglenoid movement". 57th Annual Meeting of the Biophysical Society. Biophysical Journal, Vol. 104, Nro. 2, Supplement 1, pp. 148a, Philadelphia, February 2–6, 2013. [abstract from publisher].
D. Millán and M. Arroyo. “Point-Set Manifold Processing for Computational Mechanics: thin shells, reduced order modeling, cell motility and molecular conformations”, WCCM 2012: 10th World Congress on Computational Mechanics, São Paulo, Brazil, July 8–13, 2012. [presentation].
D. Millán, A. Rosolen and M. Arroyo. “Finite deformation thin shell analysis from scattered points with maximum-entropy approximants”, MECOM-CILAMCE 2010, Buenos Aires, Argentine, November 15-18, 2010 [abstract from publisher, preprint].
D. Millán, A. Rosolen and M. Arroyo. “Point-set manifold processing: application to thin shell analysis”, ECCM 2010, Paris, France, May 16–21, 2010.
D. Millán, A. Rosolen and M. Arroyo. “Manifold processing from scattered points: application to thin shell analysis”, IACM/ECCOMAS 2008, Venice, Italy, June 30–July 4, 2008.
D. Millán, M. Hernandez, D. Gallardo, J.R. Cebral, C. Putman, L. Dempere-Marco and A. Frangi. "Characterization of cerebral aneurysms using 3D moment invariants". In SPIE Medical Imaging 2005: Image Processing, Vol. 5747, pp. 743–754, San Diego, CA, USA, February 12–17, 2005. [abstract from publisher, preprint].
J.R. Cebral, M. Castro, D. Millán, A. Frangi and C. Putman. "Pilot clinical study of aneurysm rupture using image- based computational fluid dynamics models". In SPIE Medical Imaging 2005: Physiology, Function, and Structure from Medical Images, Vol. 5746, pp. 245–256, San Diego, CA, USA, February 12–17, 2005. [abstract from publisher, preprint].
Selected Workshops
D. Millán, N. Muzi, F. Camussoni, L.G. Moyano. "Análisis biomecánico de la oclusión endovascular de aneurismas intracraneales", SiModAr 2022: I Simposio de Modelado Multiescala para Biociencias y Nanomateriales en Argentina, virtual, Argentine, November 11, 2022. [abstract from organizer]
E. Giaroli, L.G. Moyano, E. Petra, M. Lagos, A. Curiale, D. Millán. "Descriptores morfométricos de aneurismas intracraneales saculares: análisis por componentes principales", CLICAP 2018: V Congreso Latinoamericano de Ingeniería y Ciencias Aplicadas, San Rafael, Argentine, April 11–13, 2018.
M. Arroyo, B. Li, D. Millán, and I. Arias. “Phase-field modeling of brittle fracture in materials with anisotropic surface energy and in thin sheets”, Banff Workshop on Variational Models of Fracture, May 8–13, 2016. [presentation]
D. Millán, M. Arroyo and N. Sukumar. “Cell-based maximum entropy approximants”. Meshfree Methods for Large Scale Computational Science & Engineering, Tampa, USA, October 27–28, 2014.
B. Hashemian, D. Millán and M. Arroyo. “Enhanced Sampling of Molecular Dynamics Simulations with Self-learning Collective Variables”. Enhancing molecular simulations with PLUMED, Belfast, United Kingdom, May 28–June 2, 2014.
D. Millán, B. Hashemian and M. Arroyo. "Harnessing manifold learning in computational mechanics: collective variables in molecular dynamics". 2nd International Workshop RB, POD and PGD, Blois Castle, France, November 3-6, 2013.
D. Millán, B. Hashemian and M. Arroyo. "Nonlinear dimensionality reduction in computational mechanics". 1st Joint Thematic Workshop CSMA-SEMNI: Model Order Reduction Techniques, Jaca, Spain, March 12-15, 2013.
A. Rosolen, D. Millán, C. Peco and M. Arroyo. “Blending isogeometric analysis and maximum-entropy approximants”, NSF Workshop on Barycentric Coordinates in Geometry Processing and FEM/BEM, Columbia University, New York, USA, July 25–27, 2012. [presentation]
C. Braga, D. Millán and M. Arroyo. "Nonlinear model reduction with applications in biomolecular simulations and computational mechanics". 10th Workshop on Numerical Methods in Applied Science and Engineering, NMASE 2011, El Muntanyà resort, Catalunya, Spain, January 18–21, 2011.
D. Millán, A. Rosolen and M. Arroyo. “Local maximum-entropy approximants applied to thin shell analysis”. NMASE 2009, 8th Workshop on Numerical Methods in Applied Science and Engineering, Vall de Núria, Catalunya, Spain, January 15–16, 2009. [preprint]
D. Millán, A. Rosolen and M. Arroyo. “Numerical Integration by using local-node Gauss-Hermite cubature”. NMASE 2008, 7th Workshop on Numerical Methods in Applied Science and Engineering, Vall de Núria, Catalunya, Spain, January 9–11, 2008. [abstract from publisher, preprint]
A. Rosolen, D. Millán and M. Arroyo. “Solmec: an efficient C++ library to solve linear and nonlinear elasticity problems”. NMASE 2008, 7th Workshop on Numerical Methods in Applied Science and Engineering, Vall de Núria, Catalunya, Spain, January 9–11, 2008. [abstract from publisher, preprint]
Posters
E. Rodríguez, C. Peco, D. Millán. "La influencia de la distribución de propiedades materiales en ondas en 1D: Aplicación crioultrasónica", XXIX Jornadas de Jóvenes Investigadores, Sucre, Bolivia, September 7–9, 2022. [preprint]
I. Ferrari, N. Muzi, P. Schoeman, L.G. Moyano, D. Millán. "Análisis computacional de la biomecánica de aneurismas cerebrales mediante un modelo de láminas delgadas de Kirchoff-Love con espesor variable", XXVI Jornadas de Investigación de la Universidad Nacional de Cuyo, 2020. [preprint]
N. Moyano, J. Klugb, C. Triguerob, G. A. Tribellob, N. Englishc, J. Kohanoffb, V. Galassid, D. Millán and M. Del Popolo. "Mapping the free-energy landscape of trans-membrane pores by atomistic molecular dynamics simulations", Workshop CECAM: Computer Simulation of Chemical Technologies involving Confined Liquids, University College Dublin, , Ireland, June 18–19, 2018. [Workshop CECAM, preprint]
D. Millán, L.G. Moyano, N. Muzi, E. Petra, A.H. Curiale. "Descriptores morfomecánicos de aneurismas intracraneales saculares: análisis por componentes principales", XXV Jornadas de Investigación de la Universidad Nacional de Cuyo, Mendoza, Argentine, November, 2018. [publisher]
B. Hashemian, D. Millán and Arroyo M. “Machine Learning in Multiscale Modelling of Molecular Systems". Multiscale Modelling of Condensed Phase and Biological Systems, Manchester, UK, January 7–9, 2014. [preprint]
B. Hashemian, D. Millán and Arroyo M. “The missing link of nonlinear manifold learning computation application in biomolecular simulations”. NMASE 2013, 12th Workshop on Numerical Methods in Applied Science and Engineering, Castelldefels, Catalunya, Spain, January 21–24, 2013. [preprint]
D. Millán, C. Braga, B. Hashemian and M. Arroyo. “Nonlinear dimensionality reduction methods for accelerated molecular dynamics”. IRB Barcelona BioMed Conference: Macromolecular Dynamics, Barcelona, Spain, October 24–26, 2011. [preprint]
D. Millán, A. Rosolen and M. Arroyo. “Manifold processing from scattered points for molecular simulations: a two-pendulum system”. NMASE 2010, 9th Workshop on Numerical Methods in Applied Science and Engineering, Cardona, Catalunya, Spain, January 18–19, 2010. [preprint]
A. Rosolen, D. Millán and M. Arroyo. “Blending second-order maximum-entropy approximation schemes and B-Splines”. NMASE 2010, 9th Workshop on Numerical Methods in Applied Science and Engineering, Cardona, Catalunya, Spain, January 18–19, 2010. [preprint]
A. Rosolen, D. Millán and M. Arroyo. “Variationally adaptive support size in local maximum-entropy approximants”. NMASE 2010, 9th Workshop on Numerical Methods in Applied Science and Engineering, Cardona, Catalunya, Spain, January 18–19, 2010. [preprint]
A. Rosolen, D. Millán and M. Arroyo. “SolMec Library: an efficient C++ library to solve linear and nonlinear elasticity problems”. NMASE 2008, 7th Workshop on Numerical Methods in Applied Science and Engineering, Vall de Núria, Catalunya, Spain, January 9–11, 2008. [preprint]