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