A posteriori error estimation for \(h-p\) approximations in elastostatics
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Publication:1330483
DOI10.1016/0168-9274(94)90017-5zbMath0802.73072OpenAlexW2017473596WikidataQ127570814 ScholiaQ127570814MaRDI QIDQ1330483
J. Tinsley Oden, Mark Ainsworth, Weihan Wu
Publication date: 18 December 1994
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0168-9274(94)90017-5
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)
Related Items (12)
A GENERAL FORMULATION OF EQUILIBRIUM MACRO-ELEMENTS WITH CONTROL OF SPURIOUS KINEMATIC MODES: THE EXORCISM OF AN OLD CURSE ⋮ A general method for recovering equilibrating element tractions ⋮ A posteriori error estimation of \(h-p\) finite element approximations of frictional contact problems ⋮ Adaptive \(hp\)-finite element viscoelastic flow calculations ⋮ Validation of a posteriori error estimators by numerical approach ⋮ A posteriori boundary layer detection and resolution in \textit{hpq}-adaptive finite element methods for 3D-based hierarchical plate and shell models ⋮ 3D-based hierarchical models and \(hpq\)-approximations for adaptive finite element method of Laplace problems as exemplified by linear dielectricity ⋮ Adaptive \(hpq\) finite element methods for the analysis of 3D-based models of complex structures. Part II: A posteriori error estimation ⋮ Adaptive hpq finite element methods for the analysis of 3D-based models of complex structures. I: Hierarchical modeling and approximations ⋮ Error estimates and adaptive finite element methods ⋮ A posteriori error estimation in large-strain elasticity using equilibrated local Neumann problems ⋮ Pointwise and local error estimates for the quantities of interest in two-dimensional elasticity
Cites Work
- A procedure for a posteriori error estimation for \(h\)-\(p\) finite element methods
- Accuracy and optimal meshes in finite element computation for nearly incompressible materials
- A posteriori error estimators for second order elliptic systems. II: An optimal order process for calculating self-equilibrating fluxes
- A unified approach to a posteriori error estimation using element residual methods
- The self-equilibration of residuals and complementarya posteriori error estimates in the finite element method
- Element by element a posteriori error estimation and improvement of stress solutions for two‐dimensional elastic problems
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