Robustness of error estimators for finite element solutions of problems with high orthotropy

DOI10.1016/j.cma.2008.12.040zbMath1227.74097OpenAlexW2087184648MaRDI QIDQ649444

Delin Wang, Theofanis Strouboulis, Ivo M. Babuška

Publication date: 30 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.cma.2008.12.040

zbMATH Keywords

a posteriori error estimationexplicit error estimatorhigh orthotropyimplicit error estimatorthermal battery

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05)

Related Items (1)

Guaranteed a-posteriori error estimation for semi-discrete solutions of parabolic problems based on elliptic reconstruction

Cites Work

• 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
• Strict upper error bounds on computed outputs of interest in computational structural mechanics
• Upper error bounds on calculated outputs of interest for linear and nonlinear structural problems
• A posteriori error estimation for generalized finite element methods
• Verification and validation in computational engineering and science: basic concepts
• Subdomain-based flux-free a posteriori error estimators
• The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations
• Bounds on history-dependent or independent local quantities in viscoelasticity problems solved by approximate methods
• Partition of unity for localization in implicita posteriori finite element error control for linear elasticity
• Error Estimate Procedure in the Finite Element Method and Applications
• On Locking and Robustness in the Finite Element Method
• Analysis of a subdomain‐based error estimator for finite element approximations of elliptic problems
• Local problems on stars: A posteriori error estimators, convergence, and performance
• Mastering Calculations in Linear and Nonlinear Mechanics
• The generalized finite element method

This page was built for publication: Robustness of error estimators for finite element solutions of problems with high orthotropy