Realistic computable error bounds for three-dimensional finite element analyses in linear elasticity

DOI10.1016/j.cma.2011.01.017zbMath1228.74076OpenAlexW1989381896MaRDI QIDQ653744

Richard Rankin, Mark Ainsworth

Publication date: 19 December 2011

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

Full work available at URL: https://strathprints.strath.ac.uk/37747/

zbMATH Keywords

elasticityfinite elementcomputable error bounds

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)

Related Items (6)

Pointwise Error Estimation for the One-Dimensional Transport Equation Based on the Variational Multiscale Method ⋮ Weakly symmetric stress equilibration and a posteriori error estimation for linear elasticity ⋮ Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions ⋮ A posteriori error estimators for stabilized finite element approximations of an optimal control problem ⋮ Variational multiscale a posteriori error estimation for systems. Application to linear elasticity ⋮ A posteriori pointwise error computation for 2-D transport equations based on the variational multiscale method

Uses Software

• MUMPS

Cites Work

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