Journal Articles
- G. Vilanova, I. Colominas, H. Gomez, “Implications of strain-specific geometries in the in silico mouse cornea micropocket angiogenesis assay”, to be submitted.
- G. Vilanova, M. Bures, I. Colominas, H. Gomez, “Convection-driven vascular patterns”, to be submitted.
- J. Xu, G. Vilanova, H. Gomez, “A diffuse domain approach to model blood flow and vascular tumour growth in image-based geometries”, to be submitted.
- A. Moure, H. Gomez, “Three-dimensional simulation of obstacle-mediated chemotaxis”. submitted for publication, 2017.
- J. Bueno, Y. Bazilevs, R. Juanes, H. Gomez, “Wettability control of droplet durotaxis”, submitted for publication, 2017.
- F. Fahrendorf, L. De Lorenzis, H. Gomez, Reduced integration at superconvergent points in isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, 2017.
- J. Bueno, H. Casquero, Y. Bazilevs, H. Gomez, Three-dimensional dynamic simulation of elastocapillarity, Meccanica, 1-17, 2017.
- G. Lorenzo, M.A. Scott, K. Tew, T.J.R. Hughes, H. Gomez, Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth, Computer Methods in Applied Mechanics and Engineering, 319, 515-548, 2017.
- A. Moure, H. Gomez, Phase-field model of cellular migration: Three-dimensional simulations in fibrous networks, Computer Methods in Applied Mechanics and Engineering, 320, 162-197, 2017.
- H. Gomez, Quantitative analysis of the proliferative-to-invasive transition of hypoxic glioma cells, Integrative Biology, 9, 257-262 , 2017.
- G. Vilanova, I. Colominas, H. Gomez, Computational modeling of tumor-induced angiogenesis, Archives of Computational Methods in Engineering, 1-32, 2017.
- J. Bueno, Y. Bazilevs, R. Juanes, H. Gomez, Droplet motion driven by tensotaxis, Extreme Mechanics Letters, 13, 10-16, 2017.
- G. Vilanova, I. Colominas, H. Gomez, A mathematical model of tumour angiogenesis: growth, regression and regrowth, Journal of the Royal Society Interface, 14:20160918, 2017.
- H. Casquero, L. Liu, Y. Zhang, A. Reali, J. Kiendl, H. Gomez, Arbitrary-degree T-splines for isogeometric analysis of fully nonlinear Kirchhoff-Love shells, Computer-Aided Design, 82 140-153, 2017, 2017.
- H. Casquero, C. Bona-Casas, H. Gomez, NURBS-based numerical proxies for red blood cells and circulating tumor cells in microscale blood flow, Computer Methods in Applied Mechanics and Engineering, accepted for publication, 2016.
- J. Xu, G. Vilanova, H. Gomez, Full-scale, three-dimensional simulation of early-stage tumor growth: The onset of malignancy, Computer Methods in Applied Mechanics and Engineering, 314, 126-146, 2016.
- G. Lorenzo, M. Scott, K. Tew, T.J.R. Hughes, Y.J. Zhang, L. Liu, G. Vilanova, H. Gomez, Tissue-scale, personalized modeling and simulation of prostate cancer growth, Proceedings of the National Academy of Sciences, 113(48), E7663-E7671, 2017.
- A.I. Chervanyov, H. Gomez, U. Thiele, Effect of orientational relaxation on the collective motion of patterns formed by self-propelled particles, European Physics Letters, 115(6), 68001, 2016.
- A. Moure, H. Gomez, Computational model for amoeboid motion: Coupling membrane and cytosol dynamics, Physical Review E, 94, 042423, 2016.
- R. Dhote, H. Gomez, R. Melnik, J. Zu, Effect of aspect ratio and boundary conditions in modeling shape memory alloy nanostructures with 3D coupled dynamic phase-field theories, Mathematical Problems in Engineering, 2016, 3647470, 2016.
- J. Kiendl, M. Ambati, L. De Lorenzis, H. Gomez, A. Reali, Phase-field description of brittle fracture in plates and shells, Computer Methods in Applied Mechanics and Engineering, 312, 374-394, 2016.
- H. Gomez, L. De Lorenzis, The variational collocation method, Computer Methods in Applied Mechanics and Engineering, 309, 152-181, 2016.
- J. Bueno, H. Gomez, Liquid-vapor phase transformations with surfactants. Phase-field model and isogeometric analysis, Journal of Computational Physics, 321, 797-818, 2016.
- L. Liu, H. Casquero, H. Gomez, Y. Zhang, Hybrid-degree weighted T-splines and their application to isogeometric analysis, Computers & Fluids, accepted for publication, 2016.
- J. Xu, G. Vilanova, H. Gomez, A mathematical model coupling tumor growth and angiogenesis, PLoS ONE, 11(2): e0149422, 2016.
- H. Gomez, K. van der Zee, Computational phase-field modeling, Encyclopedia of Computational Mechanics, accepted for publication, 2016.
- H. Casquero, L. Liu, Y. Zhang, A. Reali, H. Gomez, Isogeometric collocation using analysis-suitable T-splines of arbitrary degree, Computer Methods in Applied Mechanics and Engineering, 301, 164-186, 2016.
- J. Bueno, I. Starodumov, H. Gomez, P. Galenko, D. Alexandrov, Three dimensional structures predicted by the modified phase field crystal equation, Computational Materials Science, 111, 310-312, 2016.
- J. Liu, C.M. Landis, H. Gomez, T.J.R. Hughes, Liquid-vapor phase transition: Thermomechanical theory, entropy stable numerical formulation, and boiling simulations, Computer Methods in Applied Mechanics and Engineering, 297, 476-553, 2015.
- R. Dhote, K. Behdinan, H. Gomez, Dynamic multiaxial behaviors of 3D shape memory alloy nanowires: a phase-field study, Mechanics of Advanced Materials and Structures, accepted for publication, 2015.
- H. Casquero, L. Liu, C. Bona-Casas, Y. Zhang, H. Gomez, A hybrid variational-collocation immersed method for fluid-structure interaction using unstructured T-Splines, International Journal for Numerical Methods in Engineering, 105, 855-880, 2016.
- R. Dhote, H. Gomez, R. Melnik, J. Zu, Shape memory alloy nanostructures with coupled dynamic thermo-mechanical effects, accepted for publication, Computer Physics Communications, 192, 48-53, 2015.
- R. Dhote, H. Gomez, R. Melnik, J. Zu, 3D coupled thermo-mechanical phase-field modeling of shape memory alloy dynamics via isogeometric analysis, Computers & Structures, 154, 48-58, 2015.
- J. Bueno, C. Bona-Casas, Y. Bazilevs, H. Gomez, Interaction of complex fluids and solids: Theory, algorithms and application to phase-change-driven implosion, Computational Mechanics, 2015.
- H. Casquero, C. Bona-Casas, H. Gomez, A NURBS-based immersed methodology for fluid-structure interaction, Computer Methods in Applied Mechanics and Engineering, 284, 943-970, 2015.
- A. Reali, H. Gomez, An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates, Computer Methods in Applied Mechanics and Engineering, 284, 623-636, 2015.
- H. Gomez, A. Reali, G. Sangalli, Accurate, efficient and (iso)geometrically flexible collocation methods for phase-field models, Journal of Computational Physics, 262, 153-171, 2014.
- G. Vilanova, I. Colominas, H. Gomez, Coupling of discrete random walks and continuous modeling for three-dimensional tumor-induced angiogenesis, Computational Mechanics, 53, 449-464, 2014.
- R. Dhote. H. Gomez, R. Melnik, J. Zu, Isogeometric analysis of a dynamic thermo-mechanical phase-field model applied to shape memory alloys, Computational Mechanics, 53, 1235-1250, 2014.
- G. Vilanova, I. Colominas, H. Gomez, Capillary networks in tumor angiogenesis: From discrete endothelial cells to averaged phase-field descriptions via isogeometric analysis, International Journal for Numerical Methods in Biomedical Engineering, 29 1015-1037, 2013.
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4 - P.K. Galenko, H. Gomez, N.V. Kropotin, K.R. Elder, Unconditionally stable method and numerical solution of the hyperbolic phase-field crystal equation, Physical Review E, 88, 013310, 2013.
- U. Thiele, A.J. Archer, M.J. Robbins, H. Gomez, E. Knobloch, Localized states in the conserved Swift-Hohenberg equation with cubic nonlinearity, Physical Review E, 87, 042915, 2013. <
- J. Liu, H. Gomez, J.A. Evans, T.J.R. Hughes, C.M. Landis, Functional entropy variables: A new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations, Journal of Computational Physics, 248 47-86, 2013.
- G. Vilanova, H. Gomez, I. Colominas, A numerical study based on the finite element method of a multiscale continuun model of tumor angiogenesis, Journal of Biomechanics, 45 S466-Supplement 1, 2012.
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