Claudio Canuto

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 26

Top Topics

Navier Stokes Equations

Neuronal Networks

Decomposition Method

Top Venues

Comput. Math. Appl.

SIAM J. Numer. Anal.

Numerische Mathematik

Publications

Andrea Bonito, Claudio Canuto, Ricardo H. Nochetto, Andreas Veeser
Adaptive Finite Element Methods. CoRR (2024)
Claudio Canuto, Davide Rosso
A posteriori error analysis and adaptivity for a VEM discretization of the Navier-Stokes equations. Adv. Comput. Math. 49 (6) (2023)
Cheng-Hau Yang, Kumar Saurabh, Guglielmo Scovazzi, Claudio Canuto, Adarsh Krishnamurthy, Baskar Ganapathysubramanian
Optimal Surrogate Boundary Selection and Scalability Studies for the Shifted Boundary Method on Octree Meshes. CoRR (2023)
Claudio Canuto, Davide Fassino
Higher-order adaptive virtual element methods with contraction properties. CoRR (2023)
Julien Genovese, Francesco Ballarin, Gianluigi Rozza, Claudio Canuto
Weighted reduced order methods for uncertainty quantification in computational fluid dynamics. CoRR (2023)
Maria Strazzullo, Francesco Ballarin, Traian Iliescu, Claudio Canuto
New Feedback Control and Adaptive Evolve-Filter-Relax Regularization for the Navier-Stokes Equations in the Convection-Dominated Regime. CoRR (2023)
L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca, Marco Verani
Adaptive VEM for variable data: convergence and optimality. CoRR (2023)
L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca, Marco Verani
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property. SIAM J. Numer. Anal. 61 (2) (2023)
Stefano Berrone, Claudio Canuto, Moreno Pintore
Solving PDEs by Variational Physics-Informed Neural Networks: an a posteriori error analysis. CoRR (2022)
Claudio Canuto, Davide Rosso
A posteriori error analysis and adaptivity for a VEM discretization of the Navier-Stokes equations. CoRR (2022)
Stefano Berrone, Claudio Canuto, Moreno Pintore, N. Sukumar
Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks. CoRR (2022)
Stefano Berrone, Claudio Canuto, Moreno Pintore
Variational Physics Informed Neural Networks: the Role of Quadratures and Test Functions. J. Sci. Comput. 92 (3) (2022)
L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca, Marco Verani
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis. CoRR (2021)
Moreno Pintore, Federico Pichi, Martin W. Hess, Gianluigi Rozza, Claudio Canuto
Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method. Adv. Comput. Math. 47 (1) (2021)
Stefano Berrone, Claudio Canuto, Moreno Pintore
Variational Physics Informed Neural Networks: the role of quadratures and test functions. CoRR (2021)
Nabil M. Atallah, Claudio Canuto, Guglielmo Scovazzi
Analysis of the shifted boundary method for the Poisson problem in domains with corners. Math. Comput. 90 (331) (2021)
Nabil M. Atallah, Claudio Canuto, Guglielmo Scovazzi
The Second-Generation Shifted Boundary Method and Its Numerical Analysis. CoRR (2020)
Nabil M. Atallah, Claudio Canuto, Guglielmo Scovazzi
Analysis of the Shifted Boundary Method for the Poisson Problem in General Domains. CoRR (2020)
L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca
Equilibrium analysis of an immersed rigid leaflet by the virtual element method. CoRR (2020)
Claudio Canuto, Andrea Lo Giudice
A multi-timestep Robin-Robin domain decomposition method for time dependent advection-diffusion problems. Appl. Math. Comput. 363 (2019)
Claudio Canuto, Sandra Pieraccini, Dongbin Xiu
Uncertainty quantification of discontinuous outputs via a non-intrusive bifidelity strategy. J. Comput. Phys. 398 (2019)
Moreno Pintore, Federico Pichi, Martin W. Hess, Gianluigi Rozza, Claudio Canuto
Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method. CoRR (2019)
Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani
Convergence and optimality of \({\mathbf {hp}}\) -AFEM. Numerische Mathematik 135 (4) (2017)
Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani
On p-robust saturation for hp-AFEM. Comput. Math. Appl. 73 (9) (2017)
Anna Cattani, Sergio Solinas, Claudio Canuto
A Hybrid Model for the Computationally-Efficient Simulation of the Cerebellar Granular Layer. Frontiers Comput. Neurosci. 10 (2016)
Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani
Adaptive Spectral Galerkin Methods with Dynamic Marking. SIAM J. Numer. Anal. 54 (6) (2016)
Stefano Berrone, Claudio Canuto, Sandra Pieraccini, Stefano Scialò
Uncertainty quantification in Discrete Fracture Network models: Stochastic fracture transmissivity. Comput. Math. Appl. 70 (4) (2015)
Claudio Canuto, Valeria Simoncini, Marco Verani
Contraction and Optimality Properties of an Adaptive Legendre-Galerkin Method: The Multi-Dimensional Case. J. Sci. Comput. 63 (3) (2015)
Kolja Brix, Claudio Canuto, Wolfgang Dahmen
Nested dyadic grids associated with Legendre-Gauss-Lobatto grids. Numerische Mathematik 131 (2) (2015)
Claudio Canuto, Anna Cattani
The derivation of continuum limits of neuronal networks with gap-junction couplings. Networks Heterog. Media 9 (1) (2014)
Claudio Canuto, Ricardo H. Nochetto, Marco Verani
Adaptive Fourier-Galerkin methods. Math. Comput. 83 (288) (2014)
Claudio Canuto, Ricardo H. Nochetto, Marco Verani
Contraction and optimality properties of adaptive Legendre-Galerkin methods: The one-dimensional case. Comput. Math. Appl. 67 (4) (2014)
Claudio Canuto, Fabio Fagnani, Paolo Tilli
An Eulerian Approach to the Analysis of Krause's Consensus Models. SIAM J. Control. Optim. 50 (1) (2012)
Claudio Canuto, Paola Gervasio, Alfio Quarteroni
Finite-Element Preconditioning of G-NI Spectral Methods. SIAM J. Sci. Comput. 31 (6) (2010)
Claudio Canuto, Timo Tonn, Karsten Urban
A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs. SIAM J. Numer. Anal. 47 (3) (2009)
Claudio Canuto, Tomás Kozubek
A fictitious domain approach to the numerical solution of PDEs in stochastic domains. Numerische Mathematik 107 (2) (2007)
Claudio Canuto
Enhanced Coercivity for Pure Advection and Advection-Diffusion Problems. J. Sci. Comput. 28 (2-3) (2006)
Claudio Canuto, Karsten Urban
Adaptive Optimization of Convex Functionals in Banach Spaces. SIAM J. Numer. Anal. 42 (5) (2005)
Claudio Canuto, Roland Masson
Stabilized wavelet approximations of the Stokes problem. Math. Comput. 70 (236) (2001)
Claudio Canuto, Anita Tabacco
An anisotropic functional setting for convection-diffusion problems. J. Num. Math. 9 (3) (2001)
Claudio Canuto
Multilevel Stabilization of Convection-Diffusion Problems by Variable-Order Inner Products. Computing 66 (2) (2001)
Silvia Bertoluzza, Claudio Canuto, Anita Tabacco
Stable Discretizations of Convection-Diffusion Problems via Computable Negative-Order Inner Products. SIAM J. Numer. Anal. 38 (3) (2000)
Silvia Bertoluzza, Claudio Canuto, Anita Tabacco
Negative norm stabilization of convection-diffusion problems. Appl. Math. Lett. 13 (4) (2000)