Pointwise and local error estimates for the quantities of interest in two-dimensional elasticity

DOI10.1016/S0898-1221(03)90081-2zbMath1221.74071OpenAlexW1981327633MaRDI QIDQ1827208

Yanyan Li

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)90081-2

zbMATH Keywords

elasticityfinite elementspostprocessingpointwise error estimates

Mathematics Subject Classification ID

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 (5)

An estimation of point-wise approximation error using the set of numerical solutions ⋮ Orthogonality constrained gradient reconstruction for superconvergent linear functionals ⋮ An Introductory Review on A Posteriori Error Estimation in Finite Element Computations ⋮ Goal-oriented error estimation and adaptivity in MsFEM computations ⋮ Calculation of strict error bounds for finite element approximations of non-linear pointwise quantities of interest

Cites Work

• Unnamed Item
• Boundary element solution for half-plane problems
• A posteriori error estimation for \(h-p\) approximations in elastostatics
• A general method for recovering equilibrating element tractions
• Guaranteed computable bounds for the exact error in the finite element solution. I: One-dimensional model problem
• The post-processing approach in the finite element method—part 1: Calculation of displacements, stresses and other higher derivatives of the displacements
• The post-processing approach in the finite element method—Part 2: The calculation of stress intensity factors
• The post-processing approach in the finite element method—Part 3:A posteriori error estimates and adaptive mesh selection
• The self-equilibration of residuals and complementarya posteriori error estimates in the finite element method
• Local error bounds for post-processed finite element calculations

This page was built for publication: Pointwise and local error estimates for the quantities of interest in two-dimensional elasticity