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Accuracy of a class of concurrent algorithms for transient finite element analysis

Ortiz, Michael and Nour-Omid, Bahram and Sotelino, Elisa D. (1988) Accuracy of a class of concurrent algorithms for transient finite element analysis. International Journal for Numerical Methods in Engineering, 26 (2). pp. 379-391. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20180104-145355217

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Abstract

The accuracy of a new class of concurrent, procedures for transient finite element analysis is examined. A phase error analysis is carried out which shows that wave retardation leading to unacceptable loss of accuracy may occur if a Courant condition based on the dimensions of the subdomains is violated. Numerical tests suggest that this Courant condition is conservative for typical structural applications and may lead to a marked increase in accuracy as the number of subdomains is increased. Theoretical speed-up ratios are derived which suggest that the algorithms under consideration can be expected to exhibit a performance superior to that of globally implicit methods when implemented on parallel machines.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://dx.doi.org/10.1002/nme.1620260207DOIArticle
http://onlinelibrary.wiley.com/doi/10.1002/nme.1620260207/fullPublisherArticle
Additional Information:© 1988 John Wiley & Sons. Received 10 March 1986. Revised 27 April 1987. M. O. and E. D. S. gratefully acknowledge support from the NASA Langley Research Center under grant NAG-1-634.
Group:GALCIT
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NASANAG-1-634
Record Number:CaltechAUTHORS:20180104-145355217
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180104-145355217
Official Citation:Ortiz, M., Nour-Omid, B. and Sotelino, E. D. (1988), Accuracy of a class of concurrent algorithms for transient finite element analysis. Int. J. Numer. Meth. Engng., 26: 379–391. doi:10.1002/nme.1620260207
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84094
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:05 Jan 2018 00:55
Last Modified:05 Jan 2018 00:55

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