A Modal Error Indicator Based on a Work-Cancellation Property of Energy-Orthogonal Axisymmetric Finite Elements

DOI10.1080/15502280701761560zbMath1136.74040OpenAlexW2063754098MaRDI QIDQ3499046

F. J. Brito Castro

Publication date: 19 May 2008

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502280701761560

zbMATH Keywords

energy cancellation criterionmodal convergence

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

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• Hierarchies of conforming finite elements for plane elasticity and plate bending
• A survey of parametrized variational principles and applications to computational mechanics
• Finite elements with increased freedom in choosing shape functions
• The hierarchical concept in finite element analysis
• From the individual element test to finite element templates: Evolution of the patch test
• More on optimal stress points—reduced integration, element distortions and error estimation
• Introduction to Finite Element Vibration Analysis

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