Locking and robustness in the finite element method for circular arch problem

DOI10.1007/s002110050106zbMath0822.65089OpenAlexW2010844708MaRDI QIDQ1347040

Zhimin Zhang

Publication date: 2 April 1995

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

Full work available at URL: https://doi.org/10.1007/s002110050106

zbMATH Keywords

convergencerobustnessfinite element methodslocking\(p\)- version methodcircular arch models

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Boundary value problems for second-order elliptic equations (35J25) 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 (10)

Analytical and computational assessment of locking in the \(hp\) finite element method ⋮ A priori error estimations of \(hp\)-finite element approximations for hierarchical models of plate- and shell-like structures ⋮ Locking and boundary layer in hierarchical models for thin elastic structures ⋮ Locking-free optimal discontinuous Galerkin methods for a Naghdi-type arch model ⋮ Numerical method for two-dimensional linearly elastic clamped plate model ⋮ Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model ⋮ Stability and convergence of mixed methods for elastic rods of arbitrary geometry ⋮ 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

This page was built for publication: Locking and robustness in the finite element method for circular arch problem