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Some ‘special’ interpolation formulae for triangular and quadrilateral elements
Author(s) -
Ying LungAn
Publication year - 1982
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620180702
Subject(s) - quadrilateral , interpolation (computer graphics) , mathematics , type (biology) , singularity , constant (computer programming) , mathematical analysis , pure mathematics , finite element method , physics , computer science , classical mechanics , structural engineering , motion (physics) , engineering , geology , paleontology , programming language
Presented herein are methods to generate special interpolation formulae of the following type: (i) C 0 continuous interpolation over triangular elements which induces a given type of singularity for the first derivatives at one of the vertices, and yet preserves ‘rigid and constant strain’ motions, (ii) C 1 continuous interpolation over triangular elements which induces a given type of singularity for second derivatives at one of the vertices.