The stability of stars of triangular equilibrium plate elements

DOI10.1002/nme.2441zbMath1183.74294OpenAlexW2103147480MaRDI QIDQ3549736

E. A. W. Maunder, José Paulo Baptista Moitinho de Almeida

Publication date: 29 March 2010

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.2441

zbMATH Keywords

starsfinite elementsequilibriumplatespatch stability

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (9)

Recovery of equilibrium on star patches from conforming finite elements with a linear basis ⋮ Restraining approach for the spurious kinematic modes in hybrid equilibrium element ⋮ A basis for bounding the errors of proper generalised decomposition solutions in solid mechanics ⋮ A hybrid equilibrium element for folded plate and shell structures ⋮ A traction-based equilibrium finite element free from spurious kinematic modes for linear elasticity problems ⋮ Stable linear traction-based equilibrium elements for elastostatics: Direct access to linear statically admissible stresses and quadratic kinematically admissible displacements for dual analysis ⋮ The stability of stars of simplicial hybrid equilibrium finite elements for solid mechanics ⋮ Dual adaptive finite element refinement for multiple local quantities in linear elastostatics ⋮ Recovery of equilibrium on star patches using a partition of unity technique

Cites Work

• The superconvergent patch recovery (SPR) and adaptive finite element refinement
• Discretization of stress fields in the finite element method
• An equilibrium stress field model for finite element solutions of two- dimensional elastostatic problems
• Upper bounds of the error in local quantities using equilibrated and compatible finite element solutions for linear elastic problems
• Subdomain-based flux-free a posteriori error estimators
• The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations
• A triangular hybrid equilibrium plate element of general degree
• Pure equilibrium tetrahedral finite elements for global error estimation by dual analysis
• Continuity conditions for finite element analysis of solids
• Patch recovery based on superconvergent derivatives and equilibrium
• A GENERAL FORMULATION OF EQUILIBRIUM MACRO-ELEMENTS WITH CONTROL OF SPURIOUS KINEMATIC MODES: THE EXORCISM OF AN OLD CURSE
• A SET OF HYBRID EQUILIBRIUM FINITE ELEMENT MODELS FOR THE ANALYSIS OF THREE-DIMENSIONAL SOLIDS
• Hybrid and Incompatible Finite Element Methods
• Patch recovery based on complementary energy
• Local problems on stars: A posteriori error estimators, convergence, and performance
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