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Numerical approximation of poroelasticity with random coefficients using Polynomial Chaos and Hybrid High-Order methods

Daniele Antonio Di Pietro , Michele Botti , Daniele Di Pietro , Olivier Le Maitre , Pierre Sochala
Computer Methods in Applied Mechanics and Engineering, 2020, 361, pp.112736. ⟨10.1016/j.cma.2019.112736⟩
Article dans une revue hal-02081647v2
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A nonconforming high-order method for nonlinear poroelasticity

Michele Botti , Daniele Di Pietro , Pierre Sochala
Finite volumes for complex applications VIII—hyperbolic, elliptic and parabolic problems, Jun 2017, Lille, France. pp.537-545, ⟨10.1007/978-3-319-57394-6_56⟩
Communication dans un congrès hal-01439165v2
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A nonconforming high-order method for the Biot problem on general meshes

Daniele Boffi , Michele Botti , Daniele Antonio Di Pietro
SIAM Journal on Scientific Computing, 2016, 38 (3), pp.A1508 - A1537. ⟨10.1137/15M1025505⟩
Article dans une revue hal-01162976v2
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Equilibrated stress tensor reconstruction and a posteriori error estimation for nonlinear elasticity

Michele Botti , Rita Riedlbeck
Computational Methods in Applied Mathematics, 2018, ⟨10.1515/cmam-2018-0012⟩
Article dans une revue hal-01618593v1
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A Hybrid High-Order method for multiple-network poroelasticity

Lorenzo Botti , Michele Botti , Daniele Antonio Di Pietro
Polyhedral methods in geosciences, 27, pp.227-258, 2021, SEMA SIMAI Springer Series, ⟨10.1007/978-3-030-69363-3_6⟩
Chapitre d'ouvrage hal-02461755v2
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A Hybrid High-Order Discretization Method for Nonlinear Poroelasticity

Michele Botti , Daniele Di Pietro , Pierre Sochala
Computational Methods in Applied Mathematics, 2020, 20 (2), pp.227-249. ⟨10.1515/cmam-2018-0142⟩
Article dans une revue hal-03710373v1
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A low-order nonconforming method for linear elasticity on general meshes

Michele Botti , Daniele Antonio Di Pietro , Alessandra Guglielmana
Computer Methods in Applied Mechanics and Engineering, 2019, 354, pp.96-118. ⟨10.1016/j.cma.2019.05.031⟩
Article dans une revue hal-02009407v2
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A high-order discretization of nonlinear poroelasticity

Michele Botti , Daniele Antonio Di Pietro , Pierre Sochala
Computational Methods in Applied Mathematics, 2020, 20 (2), pp.227-249. ⟨10.1515/cmam-2018-0142⟩
Article dans une revue hal-01785810v2
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Advanced polyhedral discretization methods for poromechanical modelling

Michele Botti
General Mathematics [math.GM]. Université Montpellier, 2018. English. ⟨NNT : 2018MONTS041⟩
Thèse tel-01871074v3
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A Hybrid High-Order method for nonlinear elasticity

Michele Botti , Daniele Di Pietro , Pierre Sochala
SIAM Journal on Numerical Analysis, 2017, 55 (6), pp.2687-2717. ⟨10.1137/16M1105943⟩
Article dans une revue hal-01539510v2