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A priori local error estimation with adaptive time-stepping

โœ Scribed by Ruge, P.

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
177 KB
Volume
15
Category
Article
ISSN
1069-8299

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โœฆ Synopsis

An a priori local error estimator for one-step implicit time-stepping schemes of Padeร‚ type is presented; such algorithms are widely used in structural dynamics. The proper time step h to be done can be calculated by matching a given local accuracy. The numerical process to evaluate h is straightforward and explicit. A simple example shows some signiยฎcant features of the method presented.

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โœ Li, X. D. ;Zeng, L. F. ;Wiberg, N.-E. ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 719 KB

A simple (I posteriori local error estimator for time discretization in structural dynamic analysis is presented. It is derived from the difference of the solutions between an ordinary integration method (the Newmark scheme) and another higher-order one which assumes that the derivatives of accelera