Arch beam models: Finite element analysis and superconvergence

DOI10.1007/BF01385501zbMath0753.73078MaRDI QIDQ1185492

Zhimin Zhang

Publication date: 28 June 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133614

zbMATH Keywords

existenceuniquenessreduced integrationmixed methodsGauss points

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Derivative superconvergence of rectangular finite elements for the Reissner-Mindlin plate ⋮ Locking-free optimal discontinuous Galerkin methods for a Naghdi-type arch model ⋮ HDG methods for Naghdi arches ⋮ The partition of unity method for the elastically supported beam ⋮ Element-by-element post-processing of discontinuous Galerkin methods for Timoshenko beams

Cites Work

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• On the hybrid-mixed formulation of \(C^ 0\) curved beam elements
• Convergence of mixed finite element approximation for the shallow arch problem
• Discretization by finite elements of a model parameter dependent problem
• Accuracy of some finite element models for arch problems
• Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces
• Superconvergence of the gradient of Galerkin approximations for elliptic problems