New anisotropic a priori error estimates. - Luca Formaggia; Simona Perotto (Numerische Mathematik, 2001)

Anisotropic error estimates for elliptic problems. - Luca Formaggia; Simona Perotto (Numerische Mathematik, 2003)

Stabilized Finite Elements on Anisotropic Meshes: A Priori Error Estimates for the Advection-Diffusion and the Stokes Problems. - Stefano Micheletti; Simona Perotto; Marco Picasso (SIAM J. Numer. Anal., 2003)

Output Functional Control for Nonlinear Equations Driven by Anisotropic Mesh Adaption: The Navier–Stokes Equations. - Stefano Micheletti; Simona Perotto (SIAM J. Sci. Comput., 2008)

Hierarchical Local Model Reduction for Elliptic Problems: A Domain Decomposition Approach. - Simona Perotto; Alexandre Ern; Alessandro Veneziani (Multiscale Model. Simul., 2010)

The Effect of Anisotropic Mesh Adaptation on PDE-Constrained Optimal Control Problems. - Stefano Micheletti; Simona Perotto (SIAM J. Control. Optim., 2011)

A space-time adaptation scheme for unsteady shallow water problems. - Giovanni Michele Porta; Simona Perotto; Francesco Ballio (Math. Comput. Simul., 2012)

One-Dimensional Surrogate Models for Advection-Diffusion Problems. - Matteo Aletti; Andrea Bortolossi; Simona Perotto; Alessandro Veneziani (ENUMATH, 2013)

Anisotropic Adaptive Meshes for Brittle Fractures: Parameter Sensitivity. - Marco Artina; Massimo Fornasier; Stefano Micheletti; Simona Perotto (ENUMATH, 2013)

Coupled Model and Grid Adaptivity in Hierarchical Reduction of Elliptic Problems. - Simona Perotto; Alessandro Veneziani (J. Sci. Comput., 2014)

Efficient geometric reconstruction of complex geological structures. - Franco Dassi; Simona Perotto; Luca Formaggia; P. Ruffo (Math. Comput. Simul., 2014)

Semi-automatic three-dimensional vessel segmentation using a connected component localization of the Region-Scalable Fitting Energy. - Marco Fedele; Elena Faggiano; Luca Barbarotta; Francesco Cremonesi; Luca Formaggia; Simona Perotto (ISPA, 2015)

Space-time adaptive hierarchical model reduction for parabolic equations. - Simona Perotto; Alessandro Zilio (Adv. Model. Simul. Eng. Sci., 2015)

Compressed solving: A numerical approximation technique for elliptic PDEs based on Compressed Sensing. - Simone Brugiapaglia; Stefano Micheletti; Simona Perotto (Comput. Math. Appl., 2015)

Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials. - Marco Artina; Massimo Fornasier; Stefano Micheletti; Simona Perotto (SIAM J. Sci. Comput., 2015)

A Priori Anisotropic Mesh Adaptation on Implicitly Defined Surfaces. - Franco Dassi; Simona Perotto; Luca Formaggia (SIAM J. Sci. Comput., 2015)

A priori anisotropic mesh adaptation driven by a higher dimensional embedding. - Franco Dassi; Simona Perotto; Hang Si; Timo Streckenbach (Comput. Aided Des., 2017)

Anisotropic mesh adaptation for the generalized Ambrosio-Tortorelli functional with application to brittle fracture. - Stefano Micheletti; Simona Perotto; Marianna Signorini (Comput. Math. Appl., 2018)

Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT. - Elena Beretta; Stefano Micheletti; Simona Perotto; Matteo Santacesaria (J. Comput. Phys., 2018)

HiMod Reduction of Advection-Diffusion-Reaction Problems with General Boundary Conditions. - Matteo Aletti; Simona Perotto; Alessandro Veneziani (J. Sci. Comput., 2018)

A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems. - Simone Brugiapaglia; Fabio Nobile; Stefano Micheletti; Simona Perotto (Math. Comput., 2018)

POD-assisted strategies for structural topology optimization. - Nicola Ferro 002; Stefano Micheletti; Simona Perotto (Comput. Math. Appl., 2019)

Mesh adaptation-aided image segmentation. - Alberto Silvio Chiappa; Stefano Micheletti; Riccardo Peli; Simona Perotto (Commun. Nonlinear Sci. Numer. Simul., 2019)

Preface: Special Issue on Model Reduction. - Tony Lelièvre; Simona Perotto; Gianluigi Rozza; Daniele A. Di Pietro; Alexandre Ern; Luca Formaggia (J. Sci. Comput., 2019)

A Dimension-Reduction Model for Brittle Fractures on Thin Shells with Mesh Adaptivity. - Stefano Almi; Sandro Belz; Stefano Micheletti; Simona Perotto (CoRR, 2020)

Efficient estimation of cardiac conductivities: A proper generalized decomposition approach. - Alessandro Barone; Michele Giuliano Carlino; Alessio Gizzi; Simona Perotto; Alessandro Veneziani (J. Comput. Phys., 2020)

Anisotropic Adapted Meshes for Image Segmentation: Application to Three-Dimensional Medical Data. - Francesco Clerici; Nicola Ferro 002; Stefania Marconi; Stefano Micheletti; Erika Negrello; Simona Perotto (SIAM J. Imaging Sci., 2020)

Bayesian Mesh Adaptation for Estimating Distributed Parameters. - Daniela Calvetti; Anna Cosmo; Simona Perotto; Erkki Somersalo (SIAM J. Sci. Comput., 2020)

Fast and Accurate Predictions of Total Energy for Solid Solution Alloys with Graph Convolutional Neural Networks. - Massimiliano Lupo Pasini; Marko Burcul; Samuel Temple Reeve; Markus Eisenbach 002; Simona Perotto (SMC, 2021)

A separated representation involving multiple time scales within the Proper Generalized Decomposition framework. - Angelo Pasquale; Amine Ammar; Antonio Falcó; Simona Perotto; Elías Cueto; Jean-Louis Duval; Francisco Chinesta (Adv. Model. Simul. Eng. Sci., 2021)

Hierarchical Model Reduction Techniques for Flow Modeling in a Parametrized Setting. - Matteo Zancanaro; Francesco Ballarin; Simona Perotto; Gianluigi Rozza (Multiscale Model. Simul., 2021)

Scalable balanced training of conditional generative adversarial neural networks on image data. - Massimiliano Lupo Pasini; Vittorio Gabbi; Junqi Yin; Simona Perotto; Nouamane Laanait (J. Supercomput., 2021)

Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information. - Matteo Giacomini; Simona Perotto (Comput. Math. Appl., 2022)

Multi-physics inverse homogenization for the design of innovative cellular materials: application to thermo-mechanical problems. - Matteo Gavazzoni; Nicola Ferro 002; Simona Perotto; Stefano Foletti (CoRR, 2022)

Isogeometric Hierarchical Model Reduction for advection-diffusion process simulation in microchannels. - Simona Perotto; Gloria Bellini; Francesco Ballarin; Karol Calò; Valentina Mazzi; Umberto Morbiducci (CoRR, 2022)

A new fluid-based strategy for the connection of non-matching lattice materials. - Nicola Ferro 002; Simona Perotto; Matteo Gavazzoni (CoRR, 2022)

A deep learning approach for detection and localization of leaf anomalies. - Davide Calabrò; Massimiliano Lupo Pasini; Nicola Ferro 002; Simona Perotto (CoRR, 2022)

Scalable Recovery-based Adaptation on Quadtree Meshes for Advection-Diffusion-Reaction Problems. - Pasquale Claudio Africa; Simona Perotto; Carlo de Falco (CoRR, 2022)

An Anisotropic Recovery-Based Error Estimator for Adaptive Discontinuous Galerkin Methods. - Nicola Ferro 002; Simona Perotto; Andrea Cangiani (J. Sci. Comput., 2022)

A denoising tool for the reconstruction of cortical geometries from MRI. - Franco Dassi; Julia M. Kroos; Luca Gerardo-Giorda; Simona Perotto (Math. Comput. Simul., 2022)

Physics-based compact modelling of the analog dynamics of HfO x resistive memories. - Francesco Vaccaro; Stefano Brivio; Simona Perotto; Aurelio Giancarlo Mauri; Sabina Spiga (Neuromorph. Comput. Eng., 2022)

Advanced Modeling of Rectangular Waveguide Devices with Smooth Profiles by Hierarchical Model Reduction. - Gines Garcia-Contreras; Juan Córcoles; Jorge A. Ruiz-Cruz; Matteo Oldoni; Gian Guido Gentili; Stefano Micheletti; Simona Perotto (CoRR, 2023)

Hierarchical Model Reduction Driven by Machine Learning for Parametric Advection-Diffusion-Reaction Problems in the Presence of Noisy Data. - Massimiliano Lupo Pasini; Simona Perotto (J. Sci. Comput., 2023)

Enhancing level set-based topology optimization with anisotropic graded meshes. - Davide Cortellessa; Nicola Ferro 002; Simona Perotto; Stefano Micheletti (Appl. Math. Comput., 2023)

Level set-fitted polytopal meshes with application to structural topology optimization. - Nicola Ferro 002; Stefano Micheletti; Nicola Parolini; Simona Perotto; Marco Verani; Paola Francesca Antonietti (Comput. Math. Appl., 2024)

Easy-to-use formulations based on the homogenization theory for vascular stent design and mechanical characterization. - Dario Carbonaro; Nicola Ferro 002; Francesco Mezzadri; Diego Gallo; Alberto L. Audenino; Simona Perotto; Umberto Morbiducci; Claudio Chiastra (Comput. Methods Programs Biomed., 2024)

HiPhomε -: HIgh order Projection-based HOMogenisation for advection diffusion reaction problems. - Giovanni Conni; Stefano Piccardo; Simona Perotto; Giovanni Michele Porta; Matteo Icardi (CoRR, 2024)

Equilibrium Configurations of a Symmetric Body Immersed in a Stationary Navier-Stokes Flow in a Planar Channel. - Elvise Berchio; Denis Bonheure; Giovanni P. Galdi; Filippo Gazzola; Simona Perotto (SIAM J. Math. Anal., 2024)

A scalable well-balanced numerical scheme for the modeling of two-phase shallow granular landslide consolidation. - Federico Gatti; Carlo de Falco; Simona Perotto; Luca Formaggia; Manuel Pastor (J. Comput. Phys., 2024)

A scalable well-balanced numerical scheme for the simulation of fast landslides with efficient time stepping. - Federico Gatti; Carlo de Falco; Simona Perotto; Luca Formaggia (Appl. Math. Comput., 2024)

Space-time mesh adaptation for the VMS-Smagorinsky modeling of high Reynolds number flows. - Erika Temellini; Nicola Ferro 002; Giovanni Stabile; Enrique Delgado Ávila; Tomás Chacón Rebollo; Simona Perotto (J. Comput. Phys., 2025)

HiPhom ({ varepsilon } ): High-Order Projection-Based Homogenization for Advection-Diffusion-Reaction Problems. - Giovanni Conni; Stefano Piccardo; Simona Perotto; Giovanni Michele Porta; Matteo Icardi (Multiscale Model. Simul., 2025)