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Uncertain input data problems and the worst scenario method
Authors: --- ---
ISBN: 044451435X 9786611037758 1281037753 0080543375 9780444514356 9780080543376 Year: 2004 Publisher: Amsterdam ; Boston : Elsevier,

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Abstract

This book deals with the impact of uncertainty in input data on the outputs of mathematical models. Uncertain inputs as scalars, tensors, functions, or domain boundaries are considered. In practical terms, material parameters or constitutive laws, for instance, are uncertain, and quantities as local temperature, local mechanical stress, or local displacement are monitored. The goal of the worst scenario method is to extremize the quantity over the set of uncertain input data.A general mathematical scheme of the worst scenario method, including approximation by finite element methods, i

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