Heuristic finite element node numbering

Larry Manevitz; Dan Givoli; Micha Margi

doi:10.1016/0956-0521(93)90041-T

Heuristic finite element node numbering

Larry Manevitz
, Dan Givoli
, Micha Margi

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The design and implementation of a preliminary (MARK I) version of a system for the numbering of the nodes of a given finite element mesh is described. The numbering is performed in such a way as to minimize the average bandwidth of the finite element stiffness matrix. The numbering procedure is heuristic and is designed to mimic the methods of a human expert numberer. The performance of the system is demonstrated by means of a number of two-dimensional examples.

Original language	English
Pages (from-to)	159-167
Number of pages	9
Journal	Computing systems in engineering
Volume	4
Issue number	2-3
DOIs	https://doi.org/10.1016/0956-0521(93)90041-T
State	Published - 1993
Externally published	Yes

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title = "Heuristic finite element node numbering",

abstract = "The design and implementation of a preliminary (MARK I) version of a system for the numbering of the nodes of a given finite element mesh is described. The numbering is performed in such a way as to minimize the average bandwidth of the finite element stiffness matrix. The numbering procedure is heuristic and is designed to mimic the methods of a human expert numberer. The performance of the system is demonstrated by means of a number of two-dimensional examples.",

author = "Larry Manevitz and Dan Givoli and Micha Margi",

note = "Funding Information: Acknowledgements--This work was supported partly by the Joint Haifa University Technion Research Fund. The third author has received the 1991 Computer Science Akavia Award for graduate students, for his contribution to the present work.",

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N2 - The design and implementation of a preliminary (MARK I) version of a system for the numbering of the nodes of a given finite element mesh is described. The numbering is performed in such a way as to minimize the average bandwidth of the finite element stiffness matrix. The numbering procedure is heuristic and is designed to mimic the methods of a human expert numberer. The performance of the system is demonstrated by means of a number of two-dimensional examples.

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Heuristic finite element node numbering

Abstract

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