Open AccessAutomatic Domain Decomposition in Finite Element Method – A Comparative Study
Author(s) -
A. Kaveh,
Mohammad Reza Seddighian,
Pouya Hassani
Publication year - 2021
Publication title -
periodica polytechnica. civil engineering/periodica polytechnica. civil engineering (online)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.406
H-Index - 19
eISSN - 1587-3773
pISSN - 0553-6626
DOI - 10.3311/ppci.18519
Subject(s) - polygon mesh , cluster analysis , heuristic , finite element method , computer science , decomposition , algorithm , graph , simple (philosophy) , mathematics , mathematical optimization , theoretical computer science , artificial intelligence , engineering , ecology , philosophy , computer graphics (images) , structural engineering , epistemology , biology
In this paper, an automatic data clustering approach is presented using some concepts of the graph theory. Some Cluster Validity Index (CVI) is mentioned, and DB Index is defined as the objective function of meta-heuristic algorithms. Six Finite Element meshes are decomposed containing two- and three- dimensional types that comprise simple and complex meshes. Six meta-heuristic algorithms are utilized to determine the optimal number of clusters and minimize the decomposition problem. Finally, corresponding statistical results are compared.