Guaranteed A Posteriori Error Estimator for Mixed Finite Element Methods of Linear Elasticity with Weak Stress Symmetry

DOI10.1137/110823031zbMath1298.74232OpenAlexW2005781798MaRDI QIDQ3116412

Kwang-Yeon Kim

Publication date: 22 February 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110823031

zbMATH Keywords

linear elasticitya posteriori error estimatormixed finite element methodhypercircle method

Mathematics Subject Classification ID

Classical linear elasticity (74B05) 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) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

Stress Equilibration for Hyperelastic Models ⋮ Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis ⋮ A hybrid high-order locking-free method for linear elasticity on general meshes ⋮ Equilibrated stress tensor reconstruction and a posteriori error estimation for nonlinear elasticity ⋮ Weakly symmetric stress equilibration for hyperelastic material models ⋮ A priori and a posteriori error analysis of TDNNS method for linear elasticity problem under minimal regularity ⋮ Analysis of weakly symmetric mixed finite elements for elasticity ⋮ Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot's consolidation model ⋮ A posteriori error estimation for planar linear elasticity by stress reconstruction

This page was built for publication: Guaranteed A Posteriori Error Estimator for Mixed Finite Element Methods of Linear Elasticity with Weak Stress Symmetry