On mapping irregular plates without four corners into a regular domain

DOI10.1016/j.aml.2021.107082zbMath1462.74150OpenAlexW3127640785MaRDI QIDQ2022262

Deng'an Cai, Guangming Zhou, Xin-Wei Wang

Publication date: 28 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107082

zbMATH Keywords

Jacobian determinantgeometric mappinggeneral shape function, 12-node serendipity finite element

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

An efficient quadrature method for vibration analysis of thin elliptical plates with continuous and discontinuous edge conditions

Cites Work

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• Free vibration and static analysis of general plate by spline finite strip
• The differential quadrature method for irregular domains and application to plate vibration
• High-accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain
• Use of Eight-node Curvilinear Domains in Discrete Singular Convolution Method for Free Vibration Analysis of Annular Sector Plates with Simply Supported Radial Edges

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