Parameter‐robust mixed element method for poroelasticity with Darcy‐Forchheimer flow
From MaRDI portal
Publication:6066607
DOI10.1002/num.23019zbMath1529.76055OpenAlexW4361269543MaRDI QIDQ6066607
Publication date: 13 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.23019
Flows in porous media; filtration; seepage (76S05) 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)
Cites Work
- Unnamed Item
- Unnamed Item
- A nonconforming finite element method for the Biot's consolidation model in poroelasticity
- On the derivation of the transport equation for swelling porous materials with finite deformation
- Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
- A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
- Two families of mixed finite elements for second order elliptic problems
- Improved accuracy in finite element analysis of Biot's consolidation problem
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- Diffusion in poro-elastic media
- Mixed element method for two-dimensional Darcy-Forchheimer model
- New stabilized discretizations for poroelasticity and the Stokes' equations
- A stabilized hybrid mixed finite element method for poroelasticity
- A mixed element method for Darcy-Forchheimer incompressible miscible displacement problem
- Stability and monotonicity for some discretizations of the Biot's consolidation model
- Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients
- 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
- A coupling of nonconforming and mixed finite element methods for Biot's consolidation model
- Convergence analysis of a new mixed finite element method for Biot's consolidation model
- A Two-Grid Block-Centered Finite Difference Method For Darcy--Forchheimer Flow in Porous Media
- Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model
- Analysis of Some Finite Elements for the Stokes Problem
- Finite Element Methods for Navier-Stokes Equations
- Linear Finite Element Methods for Planar Linear Elasticity
- From arteries to boreholes: steady-state response of a poroelastic cylinder to fluid injection
- A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
- Mixed Finite Element Methods and Applications
- A Study of Two Modes of Locking in Poroelasticity
- Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media
- A hydroelastic model of hydrocephalus
- On a nonlinear system of Biot–Forchheimer type
