A hybrid high-order method for creeping flows of non-Newtonian fluids

Autor: Daniel Castanon Quiroz, Michele Botti, Daniele Antonio Di Pietro, André Harnist

Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2021, 55 (5), pp.2045-2073. ⟨10.1051/m2an/2021051⟩

In this paper, we design and analyze a Hybrid High-Order discretization method for the steady motion of non-Newtonian, incompressible fluids in the Stokes approximation of small velocities. The proposed method has several appealing features including

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::410dc286bace41365c77b631b94ea1cb
https://doi.org/10.1051/m2an/2021051

A Hybrid High-Order Discretization Method for Nonlinear Poroelasticity

Autor: Pierre Sochala, Michele Botti, Daniele Antonio Di Pietro

Publikováno v: Computational Methods in Applied Mathematics. 20:227-249

In this work, we construct and analyze a nonconforming high-order discretization method for the quasi-static single-phase nonlinear poroelasticity problem describing Darcean flow in a deformable porous medium saturated by a slightly compressible flui

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6bde49baceecca8c3b631b2fe25767fd
https://doi.org/10.1515/cmam-2018-0142

An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods

Autor: Lorenzo Alessio Botti, Daniele Antonio Di Pietro, Michele Botti

In this work, we introduce a novel abstract framework for the stability and convergence analysis of fully coupled discretisations of the poroelasticity problem and apply it to the analysis of Hybrid High-Order (HHO) schemes. A relevant feature of the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af3daec3f5f10dd761c1e4d77bab0856
https://hal.archives-ouvertes.fr/hal-02398946/file/abbho.pdf

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

Autor: Daniele Antonio Di Pietro, Olivier Le Maitre, Michele Botti, Pierre Sochala

Publikováno v: Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2020, 361, pp.112736. ⟨10.1016/j.cma.2019.112736⟩

In this work, we consider the Biot problem with uncertain poroelastic coefficients. The uncertainty is modelled using a finite set of parameters with prescribed probability distribution. We present the variational formulation of the stochastic partia

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e571f73d3a44cfe8ea02aa1497e904b9
http://arxiv.org/abs/1903.11885

A nonconforming high-order method for nonlinear poroelasticity

Autor: Michele Botti, Daniele Antonio Di Pietro, Pierre Sochala

Publikováno v: Finite volumes for complex applications VIII—hyperbolic, elliptic and parabolic problems
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⟩
Springer Proceedings in Mathematics & Statistics ISBN: 9783319573939

International audience; In this work, we introduce a novel algorithm for the quasi-static nonlin-ear poroelasticity problem describing Darcian flow in a deformable saturated porous medium. The nonlinear elasticity operator is discretized using a Hybr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60665d69cfefab8ba74c1ba9e47023c7
https://hal.archives-ouvertes.fr/hal-01439165v2/document