mathematics for sustainable development

scientific coordinator: Luca Formaggia

 

The main goals for this topic are the development of mathematical models and numerical methods with applications to biomedicine (e.g., precision medicine, mathematical oncology, neurosciences) and for the sustainable use of the subsoil and mitigation of the effects of human activities (e.g., CO2 sequestration, geothermal reservoirs), as well as the implementation and analysis of scientific machine learning algorithms.

 

publications

  • A. Agosti, E. Rocca, L. Scarpa, "Strict separation and numerical approximation for a non-local Cahn-Hilliard equation with single-well potential",  preprint arXiv:2306.15819 [math.AP];
  • D. Carbonaro, F. Mezzadri, N. Ferro, G. De Nisco, A.L. Audenino, D. Gallo, C. Chiastra, U. Morbiducci, S. Perotto, "Design of innovative self-expandable femoral stents using inverse homogenization topology optimization", Comput. Methods Appl. Mech. Eng. 416, 116288, 2023;
  • F. Gatti, S. Perotto, C. de Falco, L. Formaggia, "A parallel well-balanced numerical scheme for the simulation of fast landslides with efficient time stepping", preprint;
  • F. Gatti, S. Perotto, C. de Falco, L. Formaggia, M. Pastor, "A scalable well-balanced numerical scheme for the modeling of two-phase shallow granular landslide consolidation", J. Comput. Phys. online, 2023;
  • G. Ciaramella, F. Nobile, T. Vanzan, "A multigrid method for PDE-constrained optimization with uncertain inputs", preprint arXiv:2302.13680v3 [math.OC];
  • G. Negrini, N. Parolini, M. Verani, "The Rhie-Chow stabilized Box Method for the Stokes problem", preprint arXiv:2308.01059v1 [math.NA];
  • M. Abatangelo, C. Cavaterra, M. Grasselli, H. Wu, "Optimal Distributed Control for a Cahn-Hilliard-Darcy System with Mass Sources, Unmatched Viscosities and Singular Potential", preprint arXiv:2308.01569v1 [math.OC];
  • M. Caldana, P.F. Antonietti, L. Dedè, "A Deep Learning algorithm to accelerate Algebraic Multigrid methods in Finite Element solvers of 3D elliptic PDEs", preprint arXiv:2304.10832v2 [math.NA];
  • M. Corti, F. Bonizzoni, P.F. Antonietti, "Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases", SIAM J. Sci. Comput., to appear;
  • M. Corti, F. Bonizzoni, P.F. Antonietti, A.M. Quarteroni, "Uncertainty Quantification for Fisher-Kolmogorov Equation on Graphs with Application to Patient-Specific Alzheimer Disease", preprint arXiv:2305.03619v2 [math.NA];
  • M. Gambarini, G. Ciaramella, E. Miglio, T. Vanzan, "Robust optimization of control parameters for WEC arrays using stochastic methods", preprint arXiv:2305.04130v2 [math.OC];
  • M. Torzoni, M. Tezzele, S. Mariani, A. Manzoni, K.E. Willcox, "A digital twin framework for civil engineering structures", preprint arXiv:2308.01445v1 [math.NA];
  • N.R. Franco, S. Fresca, F. Tombari, A. Manzoni, "Deep Learning-based surrogate models for parametrized PDEs: handling geometric variability through graph neural networks", preprint arXiv:2308.01602v1 [math.NA];
  • P.F. Antonietti, F. Bonizzoni , M. Verani, "A DG-VEM method for the dissipative wave equation", preprint arXiv:2303.17391v2 [math.NA];
  • S. Buchwald, G. Ciaramella, J. Salomon, "Gauss-Newton oriented greedy algorithms for the reconstruction of operators in nonlinear dynamics", preprint arXiv:2308.15450v1 [math.OC];
  • Y. Su, D. Riccobelli, Y. Chen, W. Chen, P. Ciarletta, "Tunable morphing of electroactive dielectric-elastomer balloons",  Proc. R. Soc. A 479, 20230358, 2023;
  • F. Ieva, G. Galliani, P. Secchi, "The impact of public transport on the diffusion of COVID-19 pandemic in Lombardy during 2020", preprint mra.v11i9.4356;
  • L. Clementi, E. Arnone, M. Santambrogio, S. Franceschetti, F. Panzica, L.M. Sangalli, "Anatomically compliant modes of variations: new tools for brain connectivity", PLoS ONE 18, e0292450, 2023;
  • L. Cavinato, M.C. Massi, M. Sollini, M. Kirienko, F. Ieva, "Dual adversarial deconfounding autoencoder for joint batch-effects removal from multi-center and multi-scanner radiomics data", Sci. Rep. 13, 18857, 2023;
  • I. Epifani, E. Lanzarone, A. Guglielmi, "Predicting donations and profiling donors in a blood collection center: a Bayesian approach", Flex. Serv. Manuf. J., 2023;
  • A. Burzacchi, L. Rossi, T. Agasisti, A.M. Paganoni, S. Vantini, "Commuting time as a determinant of higher education students' performance: the case of Politecnico di Milano", preprint MOX report 92/2023;
  • S. Bonetti, M. Botti, P.A. Antonietti, "Robust discontinuous Galerkin-based scheme for the fully-coupled non-linear thermo-hydro-mechanical problem", preprint arXiv:2311.15665 [math.NA];
  • A. Agosti, A. Signori, "Analysis of a multi-species Cahn–Hilliard–Keller–Segel tumor growth model with chemotaxis and angiogenesis", preprint arXiv:2311.13470 [math.AP];
  • P.F. Antonietti, M. Botti, I. Mazzieri, "A space-time discontinuous Galerkin method for coupled poroelasticity-elasticity problems", preprint arXiv:2306.01140 [math.NA];
  • M. Corti, F. Bonizzoni, L. Dedè, A. Quarteroni, P.F. Antonietti, "Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to α-Synuclein Spreading in Parkinson's Disease", Comput. Methods Appl. Mech. Eng. 417, 116450, 2023;
  • P.F. Antonietti, F. Bonizzoni, M. Corti, A. Dall'Olio, "Discontinuous Galerkin for the heterodimer model of prion dynamics in Parkinson's disease", preprint arXiv:2310.08342 [math.NA];
  • D. Ambrosi, L. Deorsola, S. Turzi, M. Zoppello, "The shape of the mitral annulus: A hypothesis of mechanical morphogenesis", Math. Mech. Solids published online, 2023;
  • A. Marzorati, S. Turzi, "Bifurcation analysis of spontaneous flows in active nematic fluids", J. Phys. A 56, 315601, 2024;
  • B. Begu, S. Panzeri, E. Arnone, M. Carey, L.M. Sangalli, "A nonparametric penalized likelihood approach to density estimation of space–time point patterns", Spat. Stat. 61, 100824, 2024;
  • M. Salvador, M. Strocchi, F. Regazzoni, C.M. Augustin, L. Dedè, S.A. Niederer, A. Quarteroni, "Whole-heart electromechanical simulations using Latent Neural Ordinary Differential Equations", npj Digit. Med. 7, 90, 2024;
  • A. Tonini, C. Vergara, F. Regazzoni, L. Dedè, R. Scrofani, C. Cogliati, A. Quarteroni, "A mathematical model to assess the effects of COVID-19 on the cardiocirculatory system", Sci. Rep. 14, 8304, 2024;
  • A. Zingaro, Z. Ahmad, E. Kholmovski, K. Sakata, L. Dedè, A.K. Morris, A. Quarteroni, N.A. Trayanova, "A comprehensive stroke risk assessment by combining atrial computational fluid dynamics simulations and functional patient data", Sci. Rep. 14, 9515, 2024;
  • A. Palummo, E. Arnone, L. Formaggia, L.M. Sangalli, "Functional principal component analysis for incomplete space–time data", Environ. Ecol. Stat., published online, 2024;
  •  L. Clementi, E. Arnone, M.D. Santambrogio, S. Franceschetti, F. Panzica, L.M. Sangalli, "Anatomically compliant modes of variations: New tools for brain connectivity", Plos One 18, e0292450, 2023;
  • A. Zingaro, M. Bucelli, R. Piersanti, F. Regazzoni, L. Dedè, A. Quarteroni, "An electromechanics-driven fluid dynamics model for the simulation of the whole human heart", J. Comput. Phys. 504, 112885, 2024;
  • F. Regazzoni, S. Pagani, M. Salvador, L. Dedè, A. Quarteroni, "Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks", Nat. Commun. 15, 1834, 2024;
  • P.F. Antonietti, L. Beirao da Veiga, M. Botti, G. Vacca, M. Verani, "A Virtual Element method for non-Newtonian fluid flows", preprint arXiv:2403.03886 [math.NA];
  • M. Caldana, P.F. Antonietti, L. Dedè, "Discovering Artificial Viscosity Models for Discontinuous Galerkin Approximation of Conservation Laws using Physics-Informed Machine Learning", preprint arXiv:2402.16517 [math.NA];
  • I. Fumagalli, M. Corti, N. Parolini, P.F. Antonietti, "Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics", J. Comput. Phys. published online, 2024;
  • S. Brivio, S. Fresca, N. Franco, A. Manzoni, "Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition", Adv. Comput. Math. 50, 33, 2024;
  • S. Brivio, S. Fresca, A. Manzoni, "PTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs", preprint arXiv:2405.08558 [math.NA];
  • C.B. Leimer Saglio, S. Pagani, M. Corti, P.F. Antonietti, "A high-order discontinuous Galerkin method for the numerical modeling of epileptic seizures", preprint arXiv:2401.14310 [math.NA];
  • S. Buchwald, G. Ciaramella, J. Salomon, "Gauss–Newton Oriented Greedy Algorithms for the Reconstruction of Operators in Nonlinear Dynamics", SIAM J. Contr. Opt. 62, 1343-1368, 2024;
  • M. Gambarini, G. Ciaramella, E. Miglio, T. Vanzan, "Robust optimization of control parameters for WEC arrays using stochastic methods", J. Comput. Phys. 493, 112478, 2023;
  • P.F. Antonietti, L. Beirao da Veiga, M. Botti, G. Vacca, M. Verani, "A Virtual Element method for non-Newtonian pseudoplastic Stokes flows", 2024, Comput. Methods Appl. Mech. Eng. 428, 117079, 2024;
  • K. Kassem, M. Sperti, A. Cavallo, A.M. Vergani, D. Fassino, M. Moz, A. Liscio, R. Banali, M. Dahlweid, L. Benetti, F. Bruno, G. Gallone, O. De Filippo, M. Iannaccone, F. D'Ascenzo, G.M. De Ferrari, U. Morbiducci, E. Della Valle, M.A. Deriu, "An innovative artificial intelligence-based method to compress complex models into explainable, model-agnostic and reduced decision support systems with application to healthcare (NEAR)", Artif. Intell. Med. 151, 102841, 2024;
  • T. Bortolotti, R. Peli, G. Lanzano, S. Sgobba, A. Menafoglio, "Weighted functional data analysis for the calibration of a ground motion model in Italy", J. Am. Stat. Assoc. 119, 1697-1708, 2024;
  • S. Sgobba, C. Felicetta, T. Bortolotti, A. Menafoglio, G. Lanzano, F. Pacor, "A geostatistical modeling of empirical amplification functions and related site proxies for shaking scenarios in central Italy", Soil Dyn. Earthq. Eng. 179, 108496, 2024;
  • D. Carbonaro, F. Mezzadri, N. Ferro, G. De Nisco, A.L. Audenino, D. Gallo, C. Chiastra, U. Morbiducci, S. Perotto, "Design of innovative self-expandable femoral stents using inverse homogenization topology optimization", Comput. Methods Appl. Mech. Eng. 416, 116288, 2023.