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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 39
ADVANCES IN FINITE ELEMENT TECHNOLOGY
Edited by: B.H.V. Topping
Paper V.1

A Graph Theoretical Method for Frontwidth Reduction

A. Kaveh* and G.R. Roosta#

*Iran University of Science and Technology, Tehran, Iran
#Building and Housing Research Centre, Tehran, Iran

Full Bibliographic Reference for this paper
A. Kaveh, G.R. Roosta, "A Graph Theoretical Method for Frontwidth Reduction", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 245-253, 1996. doi:10.4203/ccp.39.5.1
Abstract
A graph theoretical approach is designed for element renumbering of finite element meshes for frontwidth reduction of sparse matrices with symmetric structures. In this heuristic, the problem is transformed into that of a graph nodal ordering. The incidence graph of a mesh is used for representing its connectivity. The efficiency of the method is illustrated through worst-case analysis and examples of unstructured finite element models.

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