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Skyline algorithms for multilevel substructure analysis
Author(s) -
Elwi A. E.,
Murray D. W.
Publication year - 1985
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620210307
Subject(s) - skyline , cholesky decomposition , substructure , feti , algorithm , transformation (genetics) , computer science , matrix (chemical analysis) , decomposition , subroutine , mathematics , domain decomposition methods , finite element method , eigenvalues and eigenvectors , data mining , engineering , structural engineering , ecology , biochemistry , physics , chemistry , materials science , quantum mechanics , biology , gene , composite material , operating system
A matrix derivation of the method of partial decomposition for substructure equilibrium equations is given and algorithms and subroutines necessary for implementing a multi‐level substructuring scheme are presented. The algorithms are based upon partial decomposition of skyline matrices by the Cholesky method. Transformation of co‐ordinates and prediction of the skyline for higher level substructures are also discussed.