Strict upper error bounds on computed outputs of interest in computational structural mechanics
From MaRDI portal
Publication:944505
DOI10.1007/s00466-007-0201-yzbMath1144.74041OpenAlexW2129479945MaRDI QIDQ944505
Publication date: 17 September 2008
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-007-0201-y
Finite element methods applied to problems in solid mechanics (74S05) Linear constitutive equations for materials with memory (74D05) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
Related Items
On the techniques for constructing admissible stress fields in model verification: Performances on engineering examples ⋮ Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free method ⋮ Goal-oriented a posteriori error estimation for the biharmonic problem based on an equilibrated moment tensor ⋮ On reduced models in nonlinear solid mechanics ⋮ Constitutive-relation-error-based \textit{a posteriori} error bounds for a class of elliptic variational inequalities ⋮ Strict upper and lower bounds of stress intensity factors at 2D elastic notches based on constitutive relation error estimation ⋮ Goal-oriented error estimation based on equilibrated flux and potential reconstruction for the approximation of elliptic and parabolic problems ⋮ New bounding techniques for goal-oriented error estimation applied to linear problems ⋮ Modal-based goal-oriented error assessment for timeline-dependent quantities in transient dynamics ⋮ An Introductory Review on A Posteriori Error Estimation in Finite Element Computations ⋮ 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 ⋮ A Reduced Basis Method for Coercive Equations with an Exact Solution Certificate and Spatio-Parameter Adaptivity: Energy-Norm and Output Error Bounds ⋮ A simple anisotropic mesh-refinement strategy for triangular elements in 2D ⋮ A new non-intrusive technique for the construction of admissible stress fields in model verification ⋮ Model verification in dynamics through strict upper error bounds ⋮ Robustness of error estimators for finite element solutions of problems with high orthotropy ⋮ On the verification of model reduction methods based on the proper generalized decomposition ⋮ An error estimator for separated representations of highly multidimensional models ⋮ A flux-free a posteriori error estimator for the incompressible Stokes problem using a mixed FE formulation ⋮ Strict and effective bounds in goal-oriented error estimation applied to fracture mechanics problems solved with XFEM ⋮ A Dissipation Gap Method for full‐field measurement‐based identification of elasto‐plastic material parameters ⋮ Error assessment in structural transient dynamics ⋮ Strict upper bounds of the error in calculated outputs of interest for plasticity problems ⋮ Computable bounds of functional outputs in linear visco-elastodynamics ⋮ Goal-oriented error estimation and adaptivity in MsFEM computations ⋮ \textit{A posteriori} error estimation for isogeometric analysis using the concept of constitutive relation error ⋮ A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: application to the hybridizable discontinuous Galerkin method ⋮ Goal-oriented error estimation for beams on elastic foundation with double shear effect ⋮ Calculation of strict error bounds for finite element approximations of non-linear pointwise quantities of interest ⋮ 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 ⋮ Strict upper and lower bounds for quantities of interest in static response sensitivity analysis ⋮ Upper and lower bounds on quantities of interest for contact problems ⋮ \textit{A posteriori} error estimation and adaptive strategy for PGD model reduction applied to parametrized linear parabolic problems ⋮ Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov--Galerkin Methods ⋮ Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers ⋮ 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A non-intrusive method for the calculation of strict and efficient bounds of calculated outputs of interest in linear viscoelasticity problems
- Upper error bounds on calculated outputs of interest for linear and nonlinear structural problems
- A new a posteriori error estimation for nonlinear time-dependent finite element analysis
- Local error estimators for finite element linear analysis
- Constitutive relation error estimators for (visco)plastic finite element analysis with softening
- 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
- A posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem
- The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations
- Multiscale modelling and computational strategies for composites
- Bounds on history-dependent or independent local quantities in viscoelasticity problems solved by approximate methods
- The Determination of Upper and Lower Bounds for the Solution of the Dirichlet Problem
- Bounds for Solutions of Boundary Value Problems in Elasticity
This page was built for publication: Strict upper error bounds on computed outputs of interest in computational structural mechanics