A practical rule for the derivation of transition finite elements

DOI<1029::AID-NME815>3.0.CO;2-2 10.1002/(SICI)1097-0207(20000220)47:5<1029::AID-NME815>3.0.CO;2-2zbMath0955.74061OpenAlexW1967693334MaRDI QIDQ4943442

Ibrahim H. Guzelbey, Bahattin Kanber

Publication date: 16 March 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(20000220)47:5<1029::aid-nme815>3.0.co;2-2

zbMATH Keywords

ANSYSPascal triangletrial functionregular finite elementsthree-dimensional finite elementstwo-dimensional finite elementtransition finite elementsderivation of shape functions

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Finite element analysis of elasto-plastic plate bending problems using transition rectangular plate elements

Uses Software

• ANSYS

Cites Work

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• Using a reduced number of Lagrange multipliers for assembling parallel incomplete field finite element approximations
• Construction of transition finite elements for the plane triangular family
• Local/global structural analysis by transition elements
• Side-node transition quadrilateral finite elements for mesh-grading
• Transition finite elements for axisymmetric stress analysis
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• An adaptive h‐refinement using transition element for plate bending problems
• A finite element for transition from a fine to a coarse grid