A mixed element analysis of the Biot's model with <scp>Darcy–Forchheimer</scp> flow
DOI10.1002/num.22904OpenAlexW4297271550MaRDI QIDQ6090436
Publication date: 16 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22904
PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) Variational methods applied to PDEs (35A15) Finite difference methods applied to problems in fluid mechanics (76M20) Soil and rock mechanics (74L10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in solid mechanics (74S20) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Unnamed Item
- A priori error estimates for the numerical solution of a coupled geomechanics and reservoir flow model with stress-dependent permeability
- Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials
- Parallel 3-d simulations for porous media models in soil mechanics
- A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
- Improved accuracy in finite element analysis of Biot's consolidation problem
- Mixed element method for two-dimensional Darcy-Forchheimer model
- Analysis of a 2-field finite element solver for poroelasticity on quadrilateral meshes
- A multipoint flux mixed finite element method for Darcy-Forchheimer incompressible miscible displacement problem
- Finite element analysis of poro-elastic consolidation in porous media: standard and mixed approaches
- A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case
- A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. II: The discrete-in-time case
- Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
- A Two-Grid Block-Centered Finite Difference Method For Darcy--Forchheimer Flow in Porous Media
- Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
- An Optimal-Order Error Estimate for a Family of ELLAM-MFEM Approximations to Porous Medium Flow
- Quasilinear poroelasticity: Analysis and hybrid finite element approximation
- On Korn's second inequality
- On stability and convergence of finite element approximations of Biot's consolidation problem
- A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
- Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
- A Least-Squares Mixed Finite Element Method for Biot's Consolidation Problem in Porous Media
- On a nonlinear system of Biot–Forchheimer type
This page was built for publication: A mixed element analysis of the Biot's model with <scp>Darcy–Forchheimer</scp> flow