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Finite element triangular meshing optimization for pure torsion
Author(s) -
Liniecki Alexander,
Yun Jixia
Publication year - 1983
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.1620190612
Subject(s) - finite element method , discretization , torsion (gastropod) , quadratic equation , mesh generation , mathematics , mathematical optimization , nonlinear system , polygon mesh , algorithm , computer science , mathematical analysis , geometry , structural engineering , engineering , physics , medicine , surgery , quantum mechanics
This paper presents a new approach to the mesh generation for torsional problems in the finite element discretization using quadratic triangular elements. A nonlinear constrained optimization program is used as a tool. As a criterion for the optimum meshing, the minimum error of second‐order differential operator is adopted. An example problem is included to demonstrate the applicability of the method. Final results of the mesh distribution show significant improvements in meeting the criterion's objectives.