Evaluation of least squares time stepping procedures for transient field problems

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ConferenceNumerical Methods for Coupled Problems : Proceedings of the International Conference: 07 September 1981, Swansea, Wales
Pages4048; # of pages: 9
Subjectthermal conduction; calculations; solution accuracy; three-time-level least squares development
AbstractA generalization of Zienkiewicz and Lewis's least squares time stepping procedure is proposed. The method is applied to a simple initial value problem for a range of parameter values and the performance is compared with that of several well-known methods. It is shown that solution accuracy even greater than that of Zienkiewicz and Lewis's method can be obtained for intermediate step lengths. For a particular choice of parameter value a method is obtained that will not oscillate regardless of step length chosen. This method nevertheless possesses truncation error nearly comparable to that of the Crank-Nicholson scheme and should prove useful in treating stiff systems. A three-time-level least squares scheme is also developed and compared with other methods for the initial value problem. The method does not appear to offer any advantages over two-time-level methods.
Publication date
PublisherPineridge Pres, Publ., E. Hinton, P. Bettens, R.W. Lewis, Eds.
AffiliationNRC Institute for Research in Construction; National Research Council Canada
Peer reviewedYes
NRC number20378
NPARC number20386251
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Record identifierfa5e0871-17cb-4f7b-a1cf-196ca9779b55
Record created2012-07-25
Record modified2016-05-09
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