A general method for recovering equilibrating element tractions
From MaRDI portal
Publication:1365618
DOI10.1016/S0045-7825(96)01067-5zbMath0886.73065OpenAlexW2060383701WikidataQ126377056 ScholiaQ126377056MaRDI QIDQ1365618
E. A. W. Maunder, Pierre Ladevèze
Publication date: 17 May 1998
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(96)01067-5
Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99)
Related Items (40)
A posteriori error estimation for acoustic wave propagation problems ⋮ On the techniques for constructing admissible stress fields in model verification: Performances on engineering examples ⋮ Reliable and efficient equilibrated a posteriori finite element error control in elastoplasticity and elastoviscoplasticity with hardening ⋮ Strict upper and lower bounds of stress intensity factors at 2D elastic notches based on constitutive relation error estimation ⋮ Computable upper and lower bounds on eigenfrequencies ⋮ A basis for bounding the errors of proper generalised decomposition solutions in solid mechanics ⋮ An Introductory Review on A Posteriori Error Estimation in Finite Element Computations ⋮ A posteriori boundary layer detection and resolution in \textit{hpq}-adaptive finite element methods for 3D-based hierarchical plate and shell models ⋮ Equilibration techniques for solving contact problems with Coulomb friction ⋮ Guaranteed error bounds on pointwise quantities of interest for transient viscodynamics problems ⋮ An enhanced method with local energy minimization for the robust a posteriori construction of equilibrated stress fields in finite element analyses ⋮ Subdomain-based error techniques for generalized finite element approximations of problems with singular stress fields ⋮ A new non-intrusive technique for the construction of admissible stress fields in model verification ⋮ On the verification of model reduction methods based on the proper generalized decomposition ⋮ Adaptive \(hpq\) finite element methods for the analysis of 3D-based models of complex structures. Part II: A posteriori error estimation ⋮ Meshless methods in dual analysis: theoretical and implementation issues ⋮ An a posteriori error estimator for two-body contact problems on non-matching meshes ⋮ \textit{A posteriori} error estimation and adaptive strategy for the control of MsFEM computations ⋮ Goal-oriented error estimation and adaptivity in MsFEM computations ⋮ Model adaptivity for finite element analysis of thin or thick plates based on equilibrated boundary stress resultants ⋮ \textit{A posteriori} error estimation for isogeometric analysis using the concept of constitutive relation error ⋮ Error estimates and adaptive finite element methods ⋮ Constitutive relation errors for F.E. analysis considering (visco‐) plasticity and damage ⋮ Criteria for mesh refinement in nonlocal damage finite element analyses ⋮ A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem ⋮ A posteriori error estimator and error control for contact problems ⋮ A unified approach to strict upper and lower bounds of quantities in linear elasticity based on constitutive relation error estimation ⋮ A recovery-explicit error estimator in energy norm for linear elasticity ⋮ New advances on a posteriori error on constitutive relation in f. e. analysis ⋮ Coupled model- and solution-adaptivity in the finite element method ⋮ p-adaptive \(\text C^{k}\) generalized finite element method for arbitrary polygonal clouds ⋮ A posteriori pointwise error computation for 2-D transport equations based on the variational multiscale method ⋮ Anisotropic discretization- and model-error estimation in solid mechanics by local Neumann problems ⋮ Variationally consistent discretization schemes and numerical algorithms for contact problems ⋮ Guaranteed energy error bounds for the Poisson equation using a flux-free approach: Solving the local problems in subdomains ⋮ Recovery of equilibrium on star patches using a partition of unity technique ⋮ Analysis of the equilibrated residual method for a posteriori error estimation on meshes with hanging nodes ⋮ Pointwise and local error estimates for the quantities of interest in two-dimensional elasticity ⋮ Constitutive relation errror estimators for time-dependent nonlinear FE analysis ⋮ History of the Finite Element Method – Mathematics Meets Mechanics – Part II: Mathematical Foundation of Primal FEM for Elastic Deformations, Error Analysis and Adaptivity
Cites Work
- Unnamed Item
- Accuracy and optimal meshes in finite element computation for nearly incompressible materials
- Recent experiences with error estimation and adaptivity. II: Error estimation for \(h\)-adaptive approximations on grids of triangles and quadrilaterals
- A posteriori error estimation for \(h-p\) approximations in elastostatics
- Pollution-error in the \(h\)-version of the finite-element method and the local quality of a posteriori error estimators
- A posteriori error estimators related to equilibrium defaults of finite element solutions for elastostatic problems
- Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
- Error Estimate Procedure in the Finite Element Method and Applications
- Sur l'adaptativité des maillages à base de quadrilatères
- Validation of a posteriori error estimators by numerical approach
- Numerical comparison of several a posteriori error estimators for 2D stress analysis
- Procedures for residual equilibration and local error estimation in the finite element method
- Element by element a posteriori error estimation and improvement of stress solutions for two‐dimensional elastic problems
This page was built for publication: A general method for recovering equilibrating element tractions
