An improved variational method for finite element stress recovery and a posteriori error estimation

DOI10.1016/S0045-7825(97)00135-7zbMath0961.74067OpenAlexW2064028445MaRDI QIDQ1971171

Colin E. Freese, Geoffrey M. Cook, H. R. Riggs, Alexander Tessler

Publication date: 22 March 2000

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00135-7

zbMATH Keywords

variational formulationadaptive mesh refinementa posteriori error estimationtwo-dimensional structuresbuild-up aircraft componentsimproved finite element stress recoverystress gradients

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15)

Related Items (6)

Recovery of consistent stresses for compatible finite elements ⋮ Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures ⋮ Error estimates and adaptive finite element methods ⋮ Unnamed Item ⋮ A least-squares variational method for full-field reconstruction of elastic deformations in shear-deformable plates and shells ⋮ A locally conservative stress recovery technique for continuous Galerkin FEM in linear elasticity

Cites Work

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• Error estimation with postprocessed finite element solutions
• Patch recovery based on superconvergent derivatives and equilibrium
• Local and global smoothing of discontinuous finite element functions using a least squares method
• On the calculation of consistent stress distributions in finite element approximations

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