Papers (19)
M. Botti, L. Mascotto
A Necas-Lions inequality with symmetric gradients on star-shaped domains based on a first order Babuska-Aziz inequality
arXiv: 2408.00371, DOI: 10.1016/j.jmaa.2024.129159 2025
Source: Journal of Mathematical Analysis and Applications
P. F. Antonietti, M. Caldana, L. Dede'
Discovering artificial viscosity models for discontinuous Galerkin approximation of conservation laws using physics-informed machine learning
DOI: 10.1016/j.jcp.2024.113476 2025
Source: Journal of Computational Physics
L. Botti, M. Botti, D. Di Pietro, F. C. Massa
Stability, convergence, and pressure-robustness of numerical schemes for incompressible flows with hybrid velocity and pressure
arXiv: 2404.12732, 2024
Source: Math. Comp.
P. F. Antonietti, M. Corti, F. Bonizzoni, A. Dall'Olio
Discontinuous Galerkin approximations of the heterodimer model for protein-protein interaction
arXiv: 2310.08342, DOI: 10.1016/j.cma.2024.117282 2024
Source: Computer Methods in Applied Mechanics and Engineering
P. F. Antonietti, M. Verani, P. Matalon
Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method
arXiv: 2308.10748, DOI: 10.1016/j.camwa.2024.07.018 2024
Source: Computers & Mathematics with Applications
P. F. Antonietti, N. Parolini, M. Corti, I. Fumagalli
Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics
arXiv: 2310.07651, DOI: 10.1016/j.jcp.2024.113115 2024
Source: Journal of Computational Physics
P. F. Antonietti, L. Beirão da Veiga, M. Verani, G. Vacca, M. Botti
A Virtual Element method for non-Newtonian pseudoplastic Stokes flows
arXiv: 2403.03886, DOI: 10.1016/j.cma.2024.117079 2024
Source: Computer Methods in Applied Mechanics and Engineering
P. F. Antonietti, M. Caldana, L. Dede'
A deep learning algorithm to accelerate algebraic multigrid methods in finite element solvers of 3D elliptic PDEs
arXiv: 2304.10832, DOI: 10.1016/j.camwa.2024.05.013 2024
Source: CAMWA
D. Di Pietro, M. Hanot
Uniform Poincaré inequalities for the Discrete de Rham complex on general domains
arXiv: 2309.15667, DOI: 10.1016/j.rinam.2024.100496 2024
Source: Results Appl. Math.
L. Beirão da Veiga, F. Dassi, G. Vacca
Robust Finite Elements for linearized Magnetohydrodynamics
DOI: 10.1137/23M1582783 2024
Source: Siam Journal of Numerical Analysis
J. Droniou, M. Laaziri, R. Masson
Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates
arXiv: 2401.12342, DOI: 10.1016/j.jcp.2024.113295 2024
Source: J. Comput. Phys.
J. Droniou, J. J. Qian
Two arbitrary-order constraint-preserving schemes for the Yang-Mills equations on polyhedral meshes
arXiv: 2306.09751, DOI: 10.3934/mine.2024019 2024
Source: Mathematics in Engineering
P. F. Antonietti, M. Corti, F. Bonizzoni
Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases
arXiv: 2308.00547, DOI: 10.1007/s10915-024-02581-7 2024
Source: Journal of Scientific Computing
J. Droniou, G. Manzini, L. Yemm
The eXtended Virtual Element Method for elliptic problems with weakly singular solutions
arXiv: 2402.02902, DOI: 10.1016/j.cma.2024.117129 2024
Source: Comput. Methods Appl. Mech. Engrg.
J. Droniou, G. Enchéry, I. Faille, A. Haidar, R. Masson
A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix fracture interfaces
arXiv: 2312.09319, DOI: 10.1016/j.cma.2024.116838 2024
Source: Comput. Methods Appl. Mech. Engrg.
F. Bonaldi, J. Droniou, R. Masson
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces
arXiv: 2201.09646, DOI: 10.1090/mcom/3949 2024
Source: Math. Comp.
D. Di Pietro, J. Droniou, J. J. Qian
A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations
arXiv: 2401.04456, DOI: 10.1016/j.cma.2024.116765 2024
Source: Comput. Methods Appl. Mech. Engrg.
L. Beirão da Veiga, D. Di Pietro, K. Haile
A Péclet-robust discontinuous Galerkin method for nonlinear diffusion with advection
arXiv: 2402.09814, DOI: 10.1142/S0218202524500350 2024
Source: Math. Models Methods Appl. Sci.
I. Fontana, D. Di Pietro
An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact
arXiv: 2401.02944, DOI: 10.1016/j.cma.2024.116950 2024
Source: Comput. Meth. Appl. Mech. Engrg.
Book Chapters (1)
P. F. Antonietti, G. Lorenzon , M. Corti
A discontinous Galerkin methods for the trhree-dimensional heterodimer model with application to the prion - like proteins
arXiv:2407.16065v1, 2024-10-01
Preprints (11)
S. Bonetti, M. Corti
Unified discontinuous Galerkin analysis of a thermo/poro-viscoelasticity model
2024-11-29
S. Badia, J. Droniou, J. Tushar
A discrete trace theory for non-conforming hybrid discretisation methods
arXiv: 2409.15863, 2024-09-24
D. Di Pietro, S. Mendez, A. E. Spadotto
A discrete de Rham discretization of interface diffusion problems with application to the Leaky Dielectric Model
arXiv: 2409.15042, 2024-09-23
D. Castanon Quiroz, D. Di Pietro
A Reynolds-semi-robust and pressure-robust Hybrid High-Order method for the time dependent incompressible Navier–Stokes equations
arXiv: 2409.07037, 2024-09-11
D. Di Pietro, M. Hanot, M. Salah
Serendipity discrete complexes with enhanced regularity
arXiv: 2407.12625, 2024-07-17
J. Droniou, M. Hanot, T. Oliynyk
A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations
arXiv: 2401.16130, 2024-04-11
J. Droniou, A. Haidar, R. Masson
Analysis of a VEM-fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction
arXiv: 2404.03045, 2024-04-03
P. F. Antonietti, L. Beirão da Veiga, M. Botti, G. Vacca, M. Verani
A Virtual Element method for non-Newtonian fluid flows
arXiv: 2403.03886v1, DOI: https://doi.org/10.48550/arXi 2024-03-07
P. F. Antonietti, S. Bonetti, M. Botti, M. Corti, I. Fumagalli, I. Mazzieri
lymph: discontinuous poLYtopal methods for Multi-PHysics differential problems
arXiv: 2402.16517, 2024-01-24
F. Bonaldi, D. Di Pietro, J. Droniou, K. Hu
An exterior calculus framework for polytopal methods
arXiv: 2303.11093, 2024-01-01
P. F. Antonietti, M. Botti, S. Bonetti
Robust discontinuous Galerkin-based scheme for the fully-coupled non-linear thermo-hydro-mechanical problem
arXiv: 2311.15665v1, 2023-11-29
Source: IMA Journal of Numerical Analysis