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2020 – today
- 2024
[j20]Nicola Rares Franco
, Daniel Fraulin, Andrea Manzoni, Paolo Zunino:
On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields. Adv. Comput. Math. 50(5): 96 (2024)- [j19]Luca Possenti, Piermario Vitullo, Alessandro Cicchetti, Paolo Zunino, Tiziana Rancati:
Modeling hypoxia-induced radiation resistance and the impact of radiation sources. Comput. Biol. Medicine 173: 108334 (2024) - [i16]Piermario Vitullo, Nicola Rares Franco, Paolo Zunino:
Deep learning enhanced cost-aware multi-fidelity uncertainty quantification of a computational model for radiotherapy. CoRR abs/2402.08494 (2024) - [i15]Enrico Ballini, Luca Formaggia, Alessio Fumagalli, Anna Scotti, Paolo Zunino:
Application of Deep Learning Reduced-Order Modeling for Single-Phase Flow in Faulted Porous Media. CoRR abs/2403.03678 (2024) - [i14]Nicola Rares Franco, Andrea Manzoni, Paolo Zunino, Jan S. Hesthaven:
Deep orthogonal decomposition: a continuously adaptive data-driven approach to model order reduction. CoRR abs/2404.18841 (2024) - [i13]Nicolò Botteghi, Paolo Motta, Andrea Manzoni, Paolo Zunino, Mengwu Guo:
Recurrent Deep Kernel Learning of Dynamical Systems. CoRR abs/2405.19785 (2024) - 2023
- [j18]Ludovica Cicci, Stefania Fresca, Mengwu Guo, Andrea Manzoni, Paolo Zunino:
Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression. Comput. Math. Appl. 149: 1-23 (2023) - [j17]Nicola Rares Franco, Andrea Manzoni, Paolo Zunino:
Mesh-Informed Neural Networks for Operator Learning in Finite Element Spaces. J. Sci. Comput. 97(2): 35 (2023) - [j16]Nicola Rares Franco, Stefania Fresca, Andrea Manzoni, Paolo Zunino:
Approximation bounds for convolutional neural networks in operator learning. Neural Networks 161: 129-141 (2023) - [c6]Lara Cavinato, Jimin Hong, Stefan Reinhard, Martin Wartenberg, Paolo Zunino, Andrea Manzoni, Francesca Ieva, Kuangyu Shi:
A tissue-aware simulation framework for [18F]FLT spatiotemporal uptake in pancreatic ductal adenocarcinoma. CIBCB 2023: 1-9 - [i12]Ludovica Cicci, Stefania Fresca, Mengwu Guo, Andrea Manzoni, Paolo Zunino:
Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression. CoRR abs/2302.08216 (2023) - [i11]Luca Heltai, Paolo Zunino:
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains. CoRR abs/2303.10600 (2023) - [i10]Nunzio Dimola, Miroslav Kuchta, Kent-André Mardal, Paolo Zunino:
Robust Preconditioning of mixed-dimensional PDEs on 3d-1d domains coupled with Lagrange multipliers. CoRR abs/2307.08431 (2023) - [i9]Piermario Vitullo, Alessio Colombo, Nicola Rares Franco, Andrea Manzoni, Paolo Zunino:
Nonlinear model order reduction for problems with microstructure using mesh informed neural networks. CoRR abs/2309.07815 (2023) - [i8]Nicola Rares Franco, Daniel Fraulin, Andrea Manzoni, Paolo Zunino:
On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields. CoRR abs/2310.12095 (2023) - [i7]Wietse M. Boon, Nicola R. Franco, Alessio Fumagalli, Paolo Zunino:
Deep learning based reduced order modeling of Darcy flow systems with local mass conservation. CoRR abs/2311.14554 (2023) - 2022
- [j15]Nicola R. Franco, Andrea Manzoni, Paolo Zunino:
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations. Math. Comput. 92(340): 483-524 (2022) - [j14]Nicolás Alejandro Barnafi Wittwer, Simone Di Gregorio, Luca Dedè, Paolo Zunino, Christian Vergara, Alfio Quarteroni:
A Multiscale Poromechanics Model Integrating Myocardial Perfusion and the Epicardial Coronary Vessels. SIAM J. Appl. Math. 82(4): 1167-1193 (2022) - [i6]Nicola Rares Franco, Andrea Manzoni, Paolo Zunino:
Learning Operators with Mesh-Informed Neural Networks. CoRR abs/2203.11648 (2022) - [i5]Nicola Rares Franco, Stefania Fresca, Andrea Manzoni, Paolo Zunino:
Approximation bounds for convolutional neural networks in operator learning. CoRR abs/2207.01546 (2022) - 2021
- [j13]Nicolás A. Barnafi, Paolo Zunino, Luca Dedè, Alfio Quarteroni:
Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model. Comput. Math. Appl. 91: 202-228 (2021) - [j12]Simone Di Gregorio, Marco Fedele, Gianluca Pontone, Antonio F. Corno, Paolo Zunino, Christian Vergara, Alfio Quarteroni:
A computational model applied to myocardial perfusion in the human heart: From large coronaries to microvasculature. J. Comput. Phys. 424: 109836 (2021) - [j11]Miroslav Kuchta, Federica Laurino, Kent-André Mardal, Paolo Zunino:
Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers. SIAM J. Numer. Anal. 59(1): 558-582 (2021) - [i4]Michela Carlotta Massi, Nicola R. Franco, Francesca Ieva, Andrea Manzoni, Anna Maria Paganoni, Paolo Zunino:
Learning High-Order Interactions via Targeted Pattern Search. CoRR abs/2102.12974 (2021) - [i3]Nicola R. Franco, Andrea Manzoni, Paolo Zunino:
A Deep Learning approach to Reduced Order Modelling of Parameter Dependent Partial Differential Equations. CoRR abs/2103.06183 (2021) - 2020
- [i2]Miroslav Kuchta, Federica Laurino, Kent-André Mardal, Paolo Zunino:
Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. CoRR abs/2004.02722 (2020) - [i1]Jakub Wiktor Both, Nicolás A. Barnafi, Florin A. Radu, Paolo Zunino, Alfio Quarteroni:
Iterative splitting schemes for a soft material poromechanics model. CoRR abs/2011.13296 (2020)
2010 – 2019
- 2019
- [c5]Federica Laurino, Stefano Brambilla, Paolo Zunino:
A Posteriori Model Error Analysis of 3D-1D Coupled PDEs. ENUMATH 2019: 663-671 - [c4]Daniele Cerroni, Florin A. Radu, Paolo Zunino:
A Mixed Dimensional Model for the Interaction of a Well with a Poroelastic Material. ENUMATH 2019: 1235-1242 - 2018
- [j10]Ilona Ambartsumyan, Eldar Khattatov, Ivan Yotov, Paolo Zunino:
A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model. Numerische Mathematik 140(2): 513-553 (2018) - 2015
- [c3]A. Valentin, D. Notaro, Paolo Zunino, R. Allen, D. Ambrosi, Y. Wang, A. M. Robertson:
Theory and application of arterial tissue in-host remodelling. EMBC 2015: 1869-1872 - 2014
- [j9]Laura Cattaneo, Paolo Zunino:
Computational models for fluid exchange between microcirculation and tissue interstitium. Networks Heterog. Media 9(1): 135-159 (2014) - [c2]Ilona Ambartsumyan, Eldar Khattatov, Ivan Yotov, Paolo Zunino:
Simulation of Flow in Fractured Poroelastic Media: A Comparison of Different Discretization Approaches. FDM 2014: 3-14 - 2013
- [c1]Laura Cattaneo, Paolo Zunino:
Numerical Investigation of Convergence Rates for the FEM Approximation of 3D-1D Coupled Problems. ENUMATH 2013: 727-734 - 2011
- [j8]Paolo Biscari, Sara Minisini, Dario Pierotti, Gianmaria Verzini, Paolo Zunino:
Controlled Release with Finite Dissolution Rate. SIAM J. Appl. Math. 71(3): 731-752 (2011) - [j7]Carlo D'Angelo, Paolo Zunino, Azzurra Porpora, Stefano Morlacchi, Francesco Migliavacca:
Model Reduction Strategies Enable Computational Analysis of Controlled Drug Release from Cardiovascular Stents. SIAM J. Appl. Math. 71(6): 2312-2333 (2011)
2000 – 2009
- 2009
- [j6]Paolo Zunino:
Discontinuous Galerkin Methods Based on Weighted Interior Penalties for Second Order PDEs with Non-smooth Coefficients. J. Sci. Comput. 38(1): 99-126 (2009) - [j5]Carlo D'Angelo, Paolo Zunino:
A Finite Element Method Based on Weighted Interior Penalties for Heterogeneous Incompressible Flows. SIAM J. Numer. Anal. 47(5): 3990-4020 (2009) - 2008
- [j4]Christian Vergara, Paolo Zunino:
Multiscale Boundary Conditions for Drug Release from Cardiovascular Stents. Multiscale Model. Simul. 7(2): 565-588 (2008) - 2006
- [j3]Erik Burman, Paolo Zunino:
A Domain Decomposition Method Based on Weighted Interior Penalties for Advection-Diffusion-Reaction Problems. SIAM J. Numer. Anal. 44(4): 1612-1638 (2006) - 2002
- [j2]Alfio Quarteroni, Alessandro Veneziani, Paolo Zunino:
Mathematical and Numerical Modeling of Solute Dynamics in Blood Flow and Arterial Walls. SIAM J. Numer. Anal. 39(5): 1488-1511 (2002) - [j1]Alfio Quarteroni, Alessandro Veneziani, Paolo Zunino:
A Domain Decomposition Method for Advection-Diffusion Processes with Application to Blood Solutes. SIAM J. Sci. Comput. 23(6): 1959-1980 (2002)
Coauthor Index
aka: Nicola Rares Franco
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