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A Generalised A-Posteriori Analysis of the Discretization Error in Numerical Solutions to Linear Problems

D. W. Kelly
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D. W. Kelly: University Of New South Wales

Chapter S15 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 659-668 from Springer

Abstract: Summary Aspects of a posteriori error analysis are discussed including the need to identify errors caused by roundoff and physical modelling approximations in addition to discretization. A general procedure is demonstrated on a one-dimensional example identifying exactly the error in stress and displacement. The extensions required to apply the procedures in two and three dimensions are then described.

Keywords: Boundary Element Method; Random Number Generator; Posteriori Error; Discretization Error; Posteriori Error Estimate (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3653-9_73

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DOI: 10.1007/978-94-009-3653-9_73

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