Convergence of the TRUNC plate element

DOI10.1016/0045-7825(87)90090-9zbMath0616.73069OpenAlexW2084187907MaRDI QIDQ1821606

Zhong-Ci Shi

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90090-9

zbMATH Keywords

convergencearbitrary mesh geometrymodified variational formationnine-degree plate elementnonconforming Zienkiewicz cubic elementnumerical integrations of part of stiffness matrixTRUNC element

Mathematics Subject Classification ID

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

Related Items

A new error analysis of Bergan's energy-orthogonal element for two-sided displacement obstacle problem of clamped plate, Finite element analysis for general elastic multi-structures, An analysis of the TRUNC element for coupled plates with rigid junction, Sur la convergence des méthodes d'éléments finis nonconformes pour des problèmes linéaires de coques minces. (On the convergence of nonconforming finite element method for linear thin shell problems), A new error analysis of Bergan's energy-orthogonal element for a plate contact problem, A new class of Zienkiewicz-type non-conforming element in any dimensions, A novel error analysis of nonconforming finite element for the clamped Kirchhoff plate with elastic unilateral obstacle, A finite element method for investigating general elastic multi-structures, A new error analysis of nonconforming Bergan's energy-orthogonal element for the extended Fisher-Kolmogorov equation, A V-cycle multigrid method for TRUNC plate element, Modified Morley method by free formula for fourth order elliptic singular perturbation problems, Nonconforming finite element methods, A new cascadic multigrid

Cites Work

• A convergence condition for the quadrilateral Wilson element
• On an unconventional but natural formation of a stiffness matrix
• Convergence of the nonconforming Wilson element for arbitrary quadrilateral meshes
• Some considerations on the natural approach
• TRUNC for shells—an element possibly to the taste of Bruce Irons
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