Premium
The synthesis of near‐optimum finite element meshes with interactive computer graphics
Author(s) -
Shephard Mark S.,
Gallagher Richard H.,
Abel John F.
Publication year - 1980
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.1620150705
Subject(s) - polygon mesh , finite element method , computer science , mesh generation , computational science , preprocessor , grid , computer graphics , volume mesh , flexibility (engineering) , software , computer graphics (images) , algorithm , geometry , structural engineering , mathematics , engineering , artificial intelligence , statistics , programming language
A new approach to the generation of near‐optimum finite element meshes is presented. Like other current methods, the procedure presented uses the results of a previous analysis to improve the idealization, but unlike other procedures a new element mesh is generated in each cycle with the aid of interactive computer graphics. The procedure generates near‐optimum two‐dimensional meshes on one cycle employing a grid optimization criterion based on variations in the strain energy density and using a software system which operates like an interactive finite element preprocessor. The example problems presented demonstrate the efficiency and flexibility of the approach.