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Krylov precise time-step integration method

✍ Scribed by T. C. Fung; Z. L. Chen

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 140 KB
Volume: 68
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.1737

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✦ Synopsis

Abstract

An efficient precise time‐step integration (PTI) algorithm to solve large‐scale transient problems is presented in this paper. The Krylov subspace method and the Padé approximations are applied to modify the original PTI algorithm in order to improve the computational efficiency. Both the stability and accuracy characteristics of the resultant algorithms are investigated. The efficiency can be further improved by expanding the dimension to avoid the computation of the particular solutions. The present algorithm can also be extended to tackle nonlinear problems without difficulty. Two numerical examples are given to illustrate the highly accurate and efficient algorithm. Copyright © 2006 John Wiley & Sons, Ltd.

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