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. doi:10.1002/nme.1620260207. https://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.
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| 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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| Issue or Number: | 2 | |||||||||
| DOI: | 10.1002/nme.1620260207 | |||||||||
| Record Number: | CaltechAUTHORS:20180104-145355217 | |||||||||
| Persistent URL: | https://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: | 15 Nov 2021 20:16 |
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