Methods and systems for using bi-directional level sets to partition an undirected graph representing a matrix to be used in CAE

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United States of America Patent

PATENT NO 9507892
APP PUB NO 20140343899A1
SERIAL NO

13971642

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Abstract

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An N×N matrix is generated from computerized model representing a physical domain, comprises coefficients of N simultaneous linear equations with N unknown physical quantities associated with N degrees-of-freedom of the physical domain, and is represented by an undirected graph having N vertices connected by a plurality of edges. A best suitable partition scheme for dividing the N vertices into a separator group and, first and second mutually independent groups as follows: distance vectors of source vertices selected from the N vertices are calculated; for each distinct pair of the source vertices, the difference of respective distance vectors is used for finding a coarse graph whose adjacency coarse matrix is pentadiagonal; a trial partition scheme is determined using the coarse graph initially; the separator group is then iteratively improved by trimming vertices contained therein and merging them into one of the mutually independent groups until the separator group becomes minimal.

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Patent Owner(s)

Patent OwnerAddress
ANSYS INC2600 ANSYS DRIVE CANONSBURG PA 15317

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  • 2013 Application Filing Year
  • G06T Class
  • 5669 Applications Filed
  • 4399 Patents Issued To-Date
  • 77.60 % Issued To-Date
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Inventor(s)

Inventor Name Address # of filed Patents Total Citations
Ashcraft, Cleve Kingston, US 1 1
Grimes, Roger Fall City, US 7 48

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