Title: A new approach to minimizing the frontwidth in finite-element calculations
Authors: Desouza, C.C. ×
Keunings, Roland
Wolsey, L.A.
Zone, O. #
Issue Date: Jan-1994
Publisher: Elsevier science sa lausanne
Series Title: Computer methods in applied mechanics and engineering vol:111 issue:3-4 pages:323-334
Abstract: We propose a new approach to determine the element ordering that minimises the frontwidth in finite element computations. The optimisation problem is formulated using graph theoretic concepts. We develop a divide-and-conquer strategy which defines a series of graph partitioning subproblems. The latter are tackled by means of three different heuristics, namely the Kernighan-Lin deterministic technique, and the non-deterministic Simulated Annealing and Stochastic Evolution algorithms. Results obtained for various 2D and 3D finite element meshes, whether structured or non-structured, reveal the superiority of the proposed approach relative to the standard Cuthill-McKee 'greedy' algorithms. Relative improvements in frontwidth are in the range 25-50% in most cases. These figures translate into a significant 2-4 speedup of the finite element solver phase relative to the standard Cuthill-McKee ordering. The best results are obtained with the divide.-and-conquer variant that uses the Stochastic Evolution partitioning heuristic. Numerical experiments indicate that the two non-deterministic variants of our divide-and-conquer approach are robust with respect to mesh refinement and vary little in solution quality from one run to another.
ISSN: 0045-7825
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Department of Materials Engineering - miscellaneous
× corresponding author
# (joint) last author

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