A General Solution Strategy for Large Scale Static and Dynamic Nonlinear Finite Element Problems Employing the Element-by-Element Factorization Concept

Citation

Levit, Itzhak (1983) A General Solution Strategy for Large Scale Static and Dynamic Nonlinear Finite Element Problems Employing the Element-by-Element Factorization Concept. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/jqbq-rc43. https://resolver.caltech.edu/CaltechETD:etd-09012006-080048

Abstract

It is proposed to solve large-scale finite-element equation systems arising in structural and solid mechanics by way of an element-by-element approximate factorization technique which obviates the need for a global coefficient matrix. The procedure has considerable operation count and I/O advantages over direct elimination schemes and it is easily implemented. Numerical results demonstrate the effectiveness of the method and suggest its potential for the analysis of large-scale systems.

Item Type:	Thesis (Dissertation (Ph.D.))
Subject Keywords:	Mechanical Engineering
Degree Grantor:	California Institute of Technology
Division:	Engineering and Applied Science
Major Option:	Mechanical Engineering
Thesis Availability:	Public (worldwide access)
Research Advisor(s):	Knowles, James K.
Thesis Committee:	Caughey, Thomas Kirk (chair) Hughes, Thomas J. R. Beck, James L. Acosta, Allan J. Knowles, James K.
Defense Date:	28 September 1982
Record Number:	CaltechETD:etd-09012006-080048
Persistent URL:	https://resolver.caltech.edu/CaltechETD:etd-09012006-080048
DOI:	10.7907/jqbq-rc43
Default Usage Policy:	No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:	3308
Collection:	CaltechTHESIS
Deposited By:	Imported from ETD-db
Deposited On:	15 Sep 2006
Last Modified:	16 Apr 2021 22:31

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