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

Author: Levit, Itzhak

Year: 1983

Degree: Dissertation (Ph.D.)

Advisor: Knowles, James K.

Committee Members: Caughey, Thomas Kirk; Hughes, Thomas J. R.; Beck, James L.; Acosta, Allan J.; Knowles, James K.

Option: Mechanical Engineering

DOI: 10.7907/jqbq-rc43

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.

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