A constitutive relation error estimator based on traction-free recovery of the equilibrated stress
From MaRDI portal
Publication:3549765
DOI10.1002/nme.2496zbMath1183.74274OpenAlexW2134247452MaRDI QIDQ3549765
Publication date: 29 March 2010
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://hal-univ-paris10.archives-ouvertes.fr/hal-01689801/file/2009-IJNME-CRE-EqStress.pdf
finite element methoderror boundsconstitutive relation errorgoal-oriented error estimationequilibrated stress recovery
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)
Related Items
Error bounds for the reliability index in finite element reliability analysis ⋮ Recovery of equilibrium on star patches from conforming finite elements with a linear basis ⋮ Constitutive-relation-error-based \textit{a posteriori} error bounds for a class of elliptic variational inequalities ⋮ A posteriori estimates for a natural Neumann-Neumann domain decomposition algorithm on a unilateral contact problem ⋮ New bounding techniques for goal-oriented error estimation applied to linear problems ⋮ An Introductory Review on A Posteriori Error Estimation in Finite Element Computations ⋮ Fast estimation of discretization error for FE problems solved by domain decomposition ⋮ \textit{A posteriori} error estimation for isogeometric analysis using the concept of constitutive relation error ⋮ A posteriori global error estimator based on the error in the constitutive relation for reduced basis approximation of parametrized linear elastic problems ⋮ A unified approach to strict upper and lower bounds of quantities in linear elasticity based on constitutive relation error estimation ⋮ Residual error based adaptive mesh refinement with the non-intrusive patch algorithm
Cites Work
- Unnamed Item
- Unnamed Item
- A feed-back approach to error control in finite element methods: Application to linear elasticity
- Local error estimators for finite element linear analysis
- On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
- A posteriori estimation and adaptive control of the error in the quantity of interest. I: A posteriori estimation of the error in the von Mises stress and the stress intensity factor
- Subdomain-based flux-free a posteriori error estimators
- Local error estimates of FEM for displacements and stresses in linear elasticity by solving local Neumann problems
- Adaptive strategies and error control for computing material forces in fracture mechanics
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Practical methods fora posteriori error estimation in engineering applications
- A Local A Posteriori Error Estimator Based on Equilibrated Fluxes
- Procedures for residual equilibration and local error estimation in the finite element method
- Local problems on stars: A posteriori error estimators, convergence, and performance
- Local estimation of the error in the von Mises' stress and L2‐norm of the stress for linear elasticity problems
- Error estimation of stress intensity factors for mixed‐mode cracks
- Approximations in elasticity based on the concept of function space