A george 1971 computer implementation of the finite

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Unformatted text preview: r \wave front" techniques: { Select unknowns xi that only depend on themselves They form the initial level set If none, select an unknown on the periphery of the graph { All unknowns that only involve those in Level Set 1 form Level Set 2 { All unknowns that only involve those in Level Sets 1 and 2 form Level Set 3, etc. For nite element problems, this can be regarded as element annihilation { cf. J.A. George and J.W. Liu (1981) Example 13. Consider the problem of Example 12 { Select an element and number the unknowns that are not connected to unknowns on other elements { Remove the element { Proceed to an adjacent element and repeat the process 33 11 00 11 00 Wave-Front Ordering 11 00 1 2 11 11 00 00 11 00 11 00 4 3 11 11 11 00 00 00 11 11 00 00 11 00 11 00 11 00 5 11 00 7 11 11 00 00 11 00 11 00 11 00 8 9 11 00 11 00 11 11 00 00 11 00 11 00 11 00 10 34 6 11 11 11 00 00 11 11 11 00 00 00 12 14 15 13 16 Wave-Front Ordering Wave-Front bandwidth and pro le: p = 13, P = 68 5 6 8 111 000 111 000 7 1 9 1 1111 0 0000 1 1111 0 0000 2 1 0 1 0 4 111 0 011 010 111 000 13 1 1111 3 0 0000 1 1111 0 0000 12 111 000 111 000 15 14 12 34 5 6 7 8 16 9 10 11 12 13 14 15 16 1X 2X X 3X X X 4X X X X 5X X X XX 6 XX 7 XXXX 8 X 9 XXXXX XXX XXX 10 11 XXXXXXXX 12 XX XX 13 14 X X X X X XX X XXXX X XXXXX 15 16 XXXX XXXXXXXXX 35...
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