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Algebraic substructuring (AS) for eigenvalue and frequency response calculations
Author(s) -
Bai Zhaojun,
Gao Weiguo,
Ko JinHwan,
Li Xiaoye S.,
Yang Chao
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700509
Subject(s) - eigenvalues and eigenvectors , algebraic number , computer science , code (set theory) , field (mathematics) , mathematics , frequency response , algebra over a field , scale (ratio) , computational science , algorithm , mathematical optimization , pure mathematics , mathematical analysis , engineering , physics , programming language , quantum mechanics , electrical engineering , set (abstract data type)
Eigenvalue and frequency response calculations are ubiquitous in scientific modeling and engineering analysis. Algebraic substructuring (AS) method is a powerful numerical technique for solving extremely large scale problems. We developed a unified framework and AS code that can solve both problems efficiently. Furthermore, we addressed some of the open problems in this field, including resolving arbitrary eigenmodes, performing high frequency response analysis, accuracy and performance. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)