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Michele Botti
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Year
A nonconforming high-order method for the Biot problem on general meshes
D Boffi, M Botti, DA Di Pietro
SIAM Journal on Scientific Computing 38 (3), A1508-A1537, 2016
722016
A hybrid high-order method for nonlinear elasticity
M Botti, DA Di Pietro, P Sochala
SIAM Journal on Numerical Analysis 55 (6), 2687-2717, 2017
692017
A low-order nonconforming method for linear elasticity on general meshes
M Botti, DA Di Pietro, A Guglielmana
Computer Methods in Applied Mechanics and Engineering 354, 96-118, 2019
272019
A hybrid high-order discretization method for nonlinear poroelasticity
M Botti, DA Di Pietro, P Sochala
Computational Methods in Applied Mathematics 20 (2), 227-249, 2020
222020
A Hybrid High-Order method for creeping flows of non-Newtonian fluids
M Botti, DC Quiroz, DA Di Pietro, A Harnist
ESAIM: Mathematical Modelling and Numerical Analysis 55 (5), 2045 - 2073, 2021
172021
Equilibrated stress tensor reconstruction and a posteriori error estimation for nonlinear elasticity
M Botti, R Riedlbeck
Computational Methods in Applied Mathematics 20 (1), 39-59, 2020
152020
Numerical approximation of poroelasticity with random coefficients using Polynomial Chaos and Hybrid High-Order methods
M Botti, DA Di Pietro, O Le Maitre, P Sochala
Computer Methods in Applied Mechanics and Engineering 361, 112736, 2020
132020
A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids
PF Antonietti, M Botti, I Mazzieri, S Nati Poltri
SIAM Journal on Scientific Computing 44 (1), 28, 2022
122022
An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods
L Botti, M Botti, DA Di Pietro
Computers & Mathematics with Applications 91, 150-175, 2021
122021
On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods
PF Antonietti, M Botti, I Mazzieri
Vietnam Journal of Mathematics, 2022
82022
A nonconforming high-order method for nonlinear poroelasticity
M Botti, DA Di Pietro, P Sochala
Finite Volumes for Complex Applications VIII-Hyperbolic, Elliptic and …, 2017
72017
Discontinuous Galerkin approximation of the fully coupled thermo-poroelastic problem
PF Antonietti, S Bonetti, M Botti
SIAM Journal on Scientific Computing 45 (2), A621-A645, 2023
62023
A serendipity fully discrete div-div complex on polygonal meshes
M Botti, DA Di Pietro, M Salah
Comptes Rendus. Mécanique 351 (S1), 1-31, 2023
62023
Lymph: an efficient high-order solver for differential problems with polytopal discontinuous Galerkin methods
PF Antonietti, S Bonetti, M Botti, M Corti, I Fumagalli, I Mazzieri
Submitted, 2023
52023
A Hybrid High-Order method for multiple-network poroelasticity
L Botti, M Botti, DA Di Pietro
Polyhedral methods in geosciences, 227-258, 2021
52021
Analysis of a Hybrid High-Order–discontinuous Galerkin discretization method for nonlinear poroelasticity
M Botti, DA Di Pietro, P Sochala
Submitted, May, 2018
52018
Numerical modeling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods
S Bonetti, M Botti, I Mazzieri, PF Antonietti
Journal of Computational Physics 489, 112275, 2023
32023
A space-time discontinuous Galerkin method for coupled poroelasticity-elasticity problems
PF Antonietti, M Botti, I Mazzieri
arXiv preprint arXiv:2306.01140, 2023
12023
Advanced polyhedral discretization methods for poromechanical modelling
M Botti
Université Montpellier, 2018
12018
A Virtual Element method for non-Newtonian fluid flows
PF Antonietti, LB da Veiga, M Botti, G Vacca, M Verani
arXiv preprint arXiv:2403.03886, 2024
2024
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Articles 1–20