mathematics for sustainable development

Publications

• H. Garcke, H., Lam, K.F., Nürnberg, R., Signori, A., On a Cahn–Hilliard equation for the growth and division of chemically active droplets modeling protocells, European J. Appl. Math., https://doi.org/10.1017/S0956792525100211.
• Andrini D, Chen X, Ciarletta P. Nonlinear Morphoelastic Theory of Biological Shallow Shells with Initial Stress. Journal of Elasticity, 157 (21), https://doi.org/10.1007/s10659-025-10113-z
• 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. 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];
• 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];
• 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];
• 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];
• P.F. Antonietti, M. Botti, I. Mazzieri, "A space-time discontinuous Galerkin method for coupled poroelasticity-elasticity problems", preprint arXiv:2306.01140 [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];
• 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];
• 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];
• P.F. Antonietti, F. Bonizzoni , M. Verani, "A DG-VEM method for the dissipative wave equation", preprint arXiv:2303.17391v2 [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];
• 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];
• 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. 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. 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. 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. 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];
• G. Negrini, N. Parolini, M. Verani, "The Rhie-Chow stabilized Box Method for the Stokes problem", preprint arXiv:2308.01059v1 [math.NA];