Automatic two- and three-dimensional mesh generation based on fuzzy knowledge processing
type: Item
instance of: scholarly article
title: Automatic two- and three-dimensional mesh generation based on fuzzy knowledge processing
zbMATH Open document ID: 0755.65117
DOI: 10.1007/BF00370013
author: S. Singh
published in: Computational Mechanics
publication date: 1993-01-16T00:00:00Z
review text: Computational mechanics simulations have progressed dramatically, in particular after the appearance of supercomputers. Several tens of thousands of degrees of freedom (DOF) problems are currently regarded as nearly an upper limit for the finite element analysis on a popular supercomputer. In recent years, much attention has been paid to the fuzzy knowledge processing techniques, which allow computers to deal with ``ambiguous'' matters and processes. The authors propose a novel finite element mesh generation algorithm based on the fuzzy knowledge processing technique. A number of local nodal patterns are stored in a nodal pattern database of the mesh generation system. These nodal patterns are determined a priori based on certain theories or past experience of experts of finite element method analyses. Each nodal pattern possesses a membership function and a procedure of node placement according to this function. What a user has to do in a practical mesh generation process is to choose several local nodal points patterns properly and to designate the maximum nodal density of each pattern. The system places the chosen nodal patterns automatically in an analysis domain and on its boundary, and connects them smoothly by the fuzzy knowledge processing technique. Then triangular or tetrahedral elements are generated by means of the advancing front method. The key issue of the present algorithm - to the authors' opinion -- is an easy control of complex two- or three-dimensional nodal density distribution by means of the fuzzy knowledge processing technique. The principal features of the algorithm are: a) quasi globally-optimum mesh subdivision can be obtained; b) only a fewer input data are necessary to generate complicated meshes. The effectiveness of the present algorithm is demonstrated through several mesh generations for structures with a crack and a hole and those for structures with a junction. To demonstrate fundamental performances of the present algorithm the au…
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 68T35
zbMATH DE Number: 95174
zbMATH Keywords: fuzzy knowledge processing
zbMATH Keywords: finite element mesh generation algorithm
zbMATH Keywords: local nodal patterns
zbMATH Keywords: finite element method
zbMATH Keywords: advancing front method
zbMATH Keywords: quasi globally-optimum mesh subdivision
zbMATH Keywords: effectiveness
zbMATH Keywords: performances
reviewed by: G. Dimitriu
describes a project that uses: Smalltalk
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00370013
OpenAlex ID: W2019472135
description: scientific article; zbMATH DE number 95174