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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 33
DEVELOPMENTS IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping
Paper IV.5
Finite Element Nodal Ordering Methods A. Kaveh and M. Malek-Zadeh
Iranian Academy of Science and Iran University of Science and Technology, Tehran, Iran A. Kaveh, M. Malek-Zadeh, "Finite Element Nodal Ordering Methods", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 141-147, 1995. doi:10.4203/ccp.33.4.5
Abstract
Graph theoretical algorithms are presented for finite element
nodal ordering to reduce the bandwidth of their stiffness
matrices. Five different graphs are defined for representing
the connectivity of FE models, and the problem of finite
element nodal ordering is transformed into that of a graph
nodal ordering. The efficiency of these methods are
compared through examples of 2 and 3 dimensional finite
element models.
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