Nonlinear twofold saddle point-based mixed finite element methods for a regularized \(\mu(I)\)-rheology model of granular materials
DOI10.1016/J.JCP.2024.113462MaRDI QIDQ6648370
Saulo R. Medrado, Sergio Caucao, Yuri Dumaresq Sobral, Gabriel N. Gatica
Publication date: 4 December 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
mixed finite elementsnonlinear viscositya priori error analysisfixed-point theorygranular flowstwofold saddle point
Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Fixed-point theorems (47H10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Granular flows (76T25) Fixed-point iterations (47J26)
Cites Work
- A three-dimensional numerical model for dense granular flows based on the \(\mu (I)\) rheology
- Dual-mixed finite element methods for the stationary Boussinesq problem
- On the stability of BDMS and PEERS elements
- A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy
- Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
- A finite element method for granular flow through a frictional boundary
- Numerical analysis of a dual-mixed problem in non-standard Banach spaces
- Theory and practice of finite elements.
- A Banach spaces-based analysis of a new mixed-primal finite element method for a coupled flow-transport problem
- A Banach spaces-based mixed-primal finite element method for the coupling of Brinkman flow and nonlinear transport
- Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds
- 3D regularized \(\mu(I)\)-rheology for granular flows simulation
- Well-posed and ill-posed behaviour of the \(\mu(I)\)-rheology for granular flow
- A Simple Introduction to the Mixed Finite Element Method
- The granular column collapse as a continuum: validity of a two-dimensional Navier-Stokes model with a \(\mu (i)\)-rheology
- A twofold saddle point approach for the coupling of fluid flow with nonlinear porous media flow
- A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
- Dam break with Coulomb friction: A model for granular slumping?
- Mixed finite element methods for linear elasticity with weakly imposed symmetry
- PEERS: A new mixed finite element for plane elasticity
- The motion of a finite mass of granular material down a rough incline
- Flows of Materials with Yield
- Mixed and Hybrid Finite Element Methods
- Granular Media
- On the numerical analysis of nonlinear twofold saddle point problems
- Mixed Finite Element Methods and Applications
- Think Before You Compute
- A Banach space mixed formulation for the unsteady Brinkman–Forchheimer equations
- Drag force in granular shear flows: regimes, scaling laws and implications for segregation
- Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems
- Frictional boundary condition for lattice Boltzmann modelling of dense granular flows
- Analysis of a momentum conservative <scp>mixed‐FEM</scp> for the stationary <scp>Navier–Stokes</scp> problem
- New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces
- A fully‐mixed finite element method for the coupling of the Navier–Stokes and Darcy–Forchheimer equations
- A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity
This page was built for publication: Nonlinear twofold saddle point-based mixed finite element methods for a regularized \(\mu(I)\)-rheology model of granular materials
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6648370)