Uniform convergence and a posteriori error estimation for assumed stress hybrid finite element methods
From MaRDI portal
Publication:660226
DOI10.1016/j.cma.2011.03.018zbMath1230.74205arXiv1101.1213OpenAlexW2157484206MaRDI QIDQ660226
Guozhu Yu, Carsten Carstensen, Xiaoping Xie
Publication date: 1 February 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.1213
finite elementReissner principleA posteriori estimatorassumed stress hybrid methodhellingerPoisson-locking
Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Analysis of a family of HDG methods for second order elliptic problems ⋮ A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses ⋮ Superconvergence and recovery type a posteriori error estimation for hybrid stress finite element method ⋮ Hybrid-mixed shell quadrilateral that allows for large solution steps and is low-sensitive to mesh distortion ⋮ Stabilized Nonconforming Mixed Finite Element Method for Linear Elasticity on Rectangular or Cubic Meshes ⋮ A priori and a posteriori analysis for a locking-free low order quadrilateral hybrid finite element for Reissner-Mindlin plates ⋮ Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems ⋮ Robust Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems ⋮ A simple and efficient Hellinger-Reissner type mixed finite element for nearly incompressible elasticity ⋮ New convergence analysis for assumed stress hybrid quadrilateral finite element method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A priori and a posteriori analysis for a locking-free low order quadrilateral hybrid finite element for Reissner-Mindlin plates
- New mixed finite elements for plane elasticity and Stokes equations
- A convergence condition for the quadrilateral Wilson element
- Convergence of the nonconforming Wilson element for arbitrary quadrilateral meshes
- On the convergence of Wilson's nonconforming element for solving the elastic problems
- Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems
- Uniform convergence and a posteriori error estimators for the enhanced strain finite element method
- An alternative version of the Pian-Sumihara element with a simple extension to nonlinear problems
- Enhanced assumed strain elements and locking in membrane problems
- A review of a posteriori error estimation techniques for elasticity problems
- A unified analysis for stress/strain hybrid methods of high performance.
- A unifying theory of a posteriori finite element error control
- Combined hybrid approach to finite element schemes of high performance
- An accurate hybrid macro-element with linear displacements
- Rational approach for assumed stress finite elements
- Relations between incompatible displacement model and hybrid stress model
- A rational approach for choosing stress terms for hybrid finite element formulations
- Alternative ways for formulation of hybrid stress elements
- Mixed and Hybrid Finite Element Methods
- On Locking and Robustness in the Finite Element Method
- A non-conforming element for stress analysis
- A Local Regularization Operator for Triangular and Quadrilateral Finite Elements
- A systematic construction of B-bar functions for linear and non-linear mixed-enhanced finite elements for plane elasticity problems
- Analysis of Some Quadrilateral Nonconforming Elements for Incompressible Elasticity
- EQUIVALENCE BETWEEN ENHANCED ASSUMED STRAIN METHOD AND ASSUMED STRESS HYBRID METHOD BASED ON THE HELLINGER-REISSNER PRINCIPLE
- Optimization of stress modes by energy compatibility for 4-node hybrid quadrilaterals
- A quadrilateral mixed finite element with two enhanced strain modes
- Stability and Convergence of a Class of Enhanced Strain Methods
- A class of mixed assumed strain methods and the method of incompatible modes
- Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements
- Accurate 4‐node quadrilateral elements with a new version of energy‐compatible stress mode
- Least-squares methods for linear elasticity based on a discrete minus one inner product
