Analysis of a 2-field finite element solver for poroelasticity on quadrilateral meshes
From MaRDI portal
Publication:2020589
DOI10.1016/j.cam.2021.113539zbMath1462.74163OpenAlexW3134682395MaRDI QIDQ2020589
Jiangguo Liu, Zhuoran Wang, Simon J. Tavener
Publication date: 23 April 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.113539
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)
Related Items
A mixed element analysis of the Biot's model with <scp>Darcy–Forchheimer</scp> flow ⋮ Penalty-free any-order weak Galerkin FEMs for linear elasticity on quadrilateral meshes
Cites Work
- Unnamed Item
- A nonconforming finite element method for the Biot's consolidation model in poroelasticity
- Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity
- A priori error estimates for the numerical solution of a coupled geomechanics and reservoir flow model with stress-dependent permeability
- Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
- A strongly conservative finite element method for the coupling of Stokes and Darcy flow
- A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- Diffusion in poro-elastic media
- Coupling multipoint flux mixed finite element methods with continuous Galerkin methods for poroelasticity
- Weak Galerkin method for the Biot's consolidation model
- Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche's coupling approach
- Construction of \(H({\operatorname{div}})\)-conforming mixed finite elements on cuboidal hexahedra
- On hexahedral finite element HC8/27 in elasticity
- Lowest-order weak Galerkin finite element methods for linear elasticity on rectangular and brick meshes
- The simplest nonconforming mixed finite element method for linear elasticity in the symmetric formulation on \(n\)-rectangular grids
- Penalty-free any-order weak Galerkin FEMs for elliptic problems on quadrilateral meshes
- A locking-free solver for linear elasticity on quadrilateral and hexahedral meshes based on enrichment of Lagrangian elements
- A new sequential method for three-phase immiscible flow in poroelastic media
- A coupling of weak Galerkin and mixed finite element methods for poroelasticity
- A mixed finite element method for nearly incompressible elasticity and Stokes equations using primal and dual meshes with quadrilateral and hexahedral grids
- Stability and monotonicity for some discretizations of the Biot's consolidation model
- A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case
- Two Families of $H$(div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension
- Convergence analysis of a new mixed finite element method for Biot's consolidation model
- Stabilized Lowest-Order Finite Element Approximation for Linear Three-Field Poroelasticity
- Quasilinear poroelasticity: Analysis and hybrid finite element approximation
- Medius analysis and comparison results for first-order finite element methods in linear elasticity
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Iteratively coupled mixed and Galerkin finite element methods for poro‐elasticity
- Analysis of Some Finite Elements for the Stokes Problem
- Mixed and Hybrid Finite Element Methods
- Linear Finite Element Methods for Planar Linear Elasticity
- Lowest-Order Weak Galerkin Finite Element Method for Darcy Flow on Convex Polygonal Meshes
- A Study of Two Modes of Locking in Poroelasticity
- The Mathematical Theory of Finite Element Methods
- QuadrilateralH(div) Finite Elements
