A locking-free solver for linear elasticity on quadrilateral and hexahedral meshes based on enrichment of Lagrangian elements
DOI10.1016/j.camwa.2020.07.014zbMath1451.74206OpenAlexW3077557138MaRDI QIDQ2210598
Ran Zhang, Jiangguo Liu, Ruishu Wang, Graham Harper, Simon J. Tavener
Publication date: 7 November 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.07.014
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) 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)
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Cites Work
- A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation
- A simple conforming mixed finite element for linear elasticity on rectangular grids in any space dimension
- New stable mixed finite element approximations for problems in linear elasticity
- Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
- A rotated nonconforming rectangular mixed element for elasticity
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
- Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity
- A lowest-order weak Galerkin method for linear elasticity
- On hexahedral finite element HC8/27 in elasticity
- Mixed finite elements for 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
- The deal.II library, Version 9.1
- Mixed finite elements for elasticity on quadrilateral meshes
- A quadrilateral nonconforming finite element for linear elasticity problem
- A mixed finite element method for nearly incompressible elasticity and Stokes equations using primal and dual meshes with quadrilateral and hexahedral grids
- HexahedralH(div) andH(curl) finite elements
- A symmetric mixed finite element method for nearly incompressible elasticity based on biorthogonal systems
- A new five-node locking-free quadrilateral element based on smoothed FEM for near-incompressible linear elasticity
- Medius analysis and comparison results for first-order finite element methods in linear elasticity
- A Locally Conservative Finite Element Method Based on Piecewise Constant Enrichment of the Continuous Galerkin Method
- A hybridizable discontinuous Galerkin method for linear elasticity
- Analysis of Some Finite Elements for the Stokes Problem
- Linear Finite Element Methods for Planar Linear Elasticity
- A Nonconforming Mixed Multigrid Method for the Pure Displacement Problem in Planar Linear Elasticity
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Approximation by quadrilateral finite elements
- Korn's inequalities for piecewise $H^1$ vector fields
- A Study of Two Modes of Locking in Poroelasticity
- The Mathematical Theory of Finite Element Methods
- A NEW NONCONFORMING MIXED FINITE ELEMENT METHOD FOR LINEAR ELASTICITY
- RECTANGULAR MIXED FINITE ELEMENTS FOR ELASTICITY
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