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Frequency-domain analysis of time-integration methods for semidiscrete finite element equations—part I: Parabolic problems

✍ Scribed by Ata Muǧan; Gregory M. Hulbert

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
528 KB
Volume
51
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

Time‐integration methods for semidiscrete equations emanating from parabolic differential equations are analysed in the frequency domain. The discrete‐time transfer functions of three popular methods are derived, and subsequently the forced response characteristics of single modes are studied in the frequency domain. To enable consistent comparison of the frequency responses of different algorithms, three characteristic numbers are identified. Frequency responses and L~2~‐norms of the phase and magnitude errors are compared for the three time‐integration algorithms. The examples demonstrate that frequency‐domain analysis provides substantial insight into the time‐domain properties of time‐integration algorithms. Copyright © 2001 John Wiley & Sons, Ltd.

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