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Superconvergent derivatives: A Taylor series analysis (1989)

Mackinnon, R. J. ; Carey, G. F.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 28 (1989), S. 489-509

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: An analysis, based on the use of Taylor series expansions, is developed to determine accuracy estimates for derivatives in one and two dimensions computed by differentiation of a finite-element interpolant or approximation. The analysis clarifies some issues concerning special points at which the derivatives are believed to be exceptionally accurate with higher convergence rates (superconvergence). Moreover, it leads directly to a class of post-processing strategies for the derivatives and offers a more direct constructive approach to the subject.

Additional Material: 7 Tab.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/nme.1620280302

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