Study of the strong prolongation equation for the construction of statically admissible stress fields: implementation and optimization

DOI10.1016/j.cma.2013.08.021zbMath1295.74035arXiv1309.4872OpenAlexW2143146838MaRDI QIDQ741905

Pierre Gosselet, Valentine Rey, Christian Rey

Publication date: 16 September 2014

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4872

zbMATH Keywords

verificationfinite element methoderror boundsadmissible stress field

Mathematics Subject Classification ID

Stress concentrations, singularities in solid mechanics (74G70) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

Computable upper and lower bounds on eigenfrequencies ⋮ \textit{A posteriori} error estimation for isogeometric analysis using the concept of constitutive relation error ⋮ A unified approach to strict upper and lower bounds of quantities in linear elasticity based on constitutive relation error estimation ⋮ Strict bounding of quantities of interest in computations based on domain decomposition ⋮ A new equilibrated residual method improving accuracy and efficiency of flux-free error estimates ⋮ Upper and lower bounds on quantities of interest for contact problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An enhanced method with local energy minimization for the robust a posteriori construction of equilibrated stress fields in finite element analyses
• Fast estimation of discretization error for FE problems solved by domain decomposition
• A new non-intrusive technique for the construction of admissible stress fields in model verification
• Computational error estimates and adaptive processes for some nonlinear structural problems
• Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free method
• A feedback finite element method with a posteriori error estimation. I: The finite element method and some basic properties of the a posteriori error estimator
• New advances on a posteriori error on constitutive relation in f. e. analysis
• On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
• Subdomain-based flux-free a posteriori error estimators
• Constitutive relation errors for F.E. analysis considering (visco‐) plasticity and damage
• Local error estimates of FEM for displacements and stresses in linear elasticity by solving local Neumann problems
• On the techniques for constructing admissible stress fields in model verification: Performances on engineering examples
• An optimal control approach to a posteriori error estimation in finite element methods
• Pure equilibrium tetrahedral finite elements for global error estimation by dual analysis
• Exact Bounds for Linear Outputs of the Advection-Diffusion-Reaction Equation Using Flux-Free Error Estimates
• Error Estimate Procedure in the Finite Element Method and Applications
• A‐posteriori error estimates for the finite element method
• Validation of a posteriori error estimators by numerical approach
• Discrete Vector Potentials for Nonsimply Connected Three-Dimensional Domains
• Adaptive control for finite element analysis in plasticity
• Modèles équilibre pour l'analyse duale
• Étude de la qualité locale de différentes versions de l’estimateur d’erreur en relation de comportement

This page was built for publication: Study of the strong prolongation equation for the construction of statically admissible stress fields: implementation and optimization