Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity

S Fu, E Chung, T Mai - Journal of Computational Physics, 2020 - Elsevier
In this paper, we apply the constraint energy minimizing generalized multiscale finite
element method (CEM-GMsFEM) to first solving a nonlinear poroelasticity problem. The …

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

M Botti, DC Quiroz, DA Di Pietro… - … Modelling and Numerical …, 2021 - esaim-m2an.org
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 …

A hybrid high-order discretization method for nonlinear poroelasticity

M Botti, DA Di Pietro, P Sochala - Computational Methods in Applied …, 2020 - degruyter.com
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 …

[PDF][PDF] Analysis of a Hybrid High-Order–discontinuous Galerkin discretization method for nonlinear poroelasticity

M Botti, DA Di Pietro, P Sochala - Submitted, May, 2018 - hal.science
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 …

A high-order discretization of nonlinear poroelasticity

M Botti, DA Di Pietro, P Sochala - arXiv preprint arXiv:1906.00757, 2019 - arxiv.org
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 …

Advanced polyhedral discretization methods for poromechanical modelling

M Botti - 2018 - theses.hal.science
In this manuscript we focus on novel discretization schemes for solving the coupled
equations of poroelasticity and we present analytical and numerical results for …

[PDF][PDF] An a priori error analysis for a class of nonlinear elliptic problems applying the hybrid high-order method

R BUSTINZA, J MUNGUIA-LA-COTERA - ci2ma.udec.cl
In this paper, we analyse a nonlinear elliptic problem in a bounded domain, applying the
already known hybrid high-order (HHO) method. Our analysis follows known approaches to …