A parameter robust reconstruction nonconforming virtual element method for the incompressible poroelasticity model
DOI10.1016/J.APNUM.2024.05.001zbMATH Open1543.65155MaRDI QIDQ6577589
Publication date: 24 July 2024
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
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) 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
- Title not available (Why is that?)
- Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
- On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime
- A fully coupled 3-D mixed finite element model of Biot consolidation
- Compressible and incompressible constituents in anisotropic poroelasticity: the problem of unconfined compression of a disk
- Diffusion in poro-elastic media
- A posteriori error estimates for the virtual element method
- Some error analysis on virtual element methods
- Bricks for the mixed high-order virtual element method: projectors and differential operators
- A divergence-free reconstruction of the nonconforming virtual element method for the Stokes problem
- Multiscale VEM for the Biot consolidation analysis of complex and highly heterogeneous domains
- Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
- A mixed virtual element method for Biot's consolidation model
- A robust and mass conservative virtual element method for linear three-field poroelasticity
- A pressure-robust virtual element method for the Stokes problem
- Some estimates for virtual element methods
- The nonconforming virtual element method for elasticity problems
- The virtual element method in 50 lines of MATLAB
- General theory of three-dimensional consolidation.
- On pressure robustness and independent determination of displacement and pressure in incompressible linear elasticity
- Mixed virtual element methods for general second order elliptic problems on polygonal meshes
- The nonconforming virtual element method
- Basic principles of mixed Virtual Element Methods
- Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model
- Minimal degree $H(\mathrm {curl})$ and $H(\mathrm {div})$ conforming finite elements on polytopal meshes
- Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
- Tissue Mechanics
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity
- A Study of Two Modes of Locking in Poroelasticity
- Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem
- The Hitchhiker's Guide to the Virtual Element Method
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- The NonConforming Virtual Element Method for the Stokes Equations
- The nonconforming locking-free virtual element method for the Biot's consolidation model in poroelasticity
- To \(\mathcal{P}\) or not to \(p\) -- the mixed displacement-pressure \(p\), versus the higher order \(\mathcal{P}\) displacement finite element formulation, for nearly incompressible linear elasticity
- A virtual element method for overcoming locking phenomena in Biot’s consolidation model
This page was built for publication: A parameter robust reconstruction nonconforming virtual element method for the incompressible poroelasticity model
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6577589)