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Spectral trisection of finite element models

A. Kaveh (Iran University of Science and Technology, Narmak, Tehran, Iran)
H.A. Rahimi Bondarabady (University of Yazd, Yazd, Iran)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 1 June 2001

216

Abstract

In this paper a new method is proposed for finite element domain decomposition. A weighted incidence graph is first constructed for the finite element model. A spectral partitioning heuristic is then applied to the graph using the second and the third eigenvalues of the Laplacian matrix of the graph, to partition it into three subgraphs and correspondingly trisect the finite element model.

Keywords

Citation

Kaveh, A. and Rahimi Bondarabady, H.A. (2001), "Spectral trisection of finite element models", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 11 No. 4, pp. 358-370. https://doi.org/10.1108/09615530110389199

Publisher

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MCB UP Ltd

Copyright © 2001, MCB UP Limited

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