Efficient Solution Processes for Finite Element Analysis of Transient Heat Conduction

[+] Author and Article Information
R. H. Gallagher

Cornell University, Ithaca, N. Y.

R. H. Mallett

Continuum Mechanics Research, Bell Aerospace Co., Buffalo, N. Y.

J. Heat Transfer 93(3), 257-263 (Aug 01, 1971) (7 pages) doi:10.1115/1.3449809 History: Received July 16, 1969; Online August 11, 2010


Systematic procedures are presented for reducing the order of a matrix differential equation governing transient heat conduction in solids. Two principal aspects of this development are a condensation of the set of gridpoint temperature degrees of freedom using steady-state relations and the introduction of generalized (modal) temperature degrees of freedom to achieve a further reduction. These processes are illustrated in an elementary one-dimensional transient heat conduction problem.

Copyright © 1971 by ASME
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