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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. http://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:Restricted to Caltech community only
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:http://resolver.caltech.edu/CaltechETD:etd-09012006-080048
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 Aug 2018 23:57

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