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Uncertain input data problems and the worst scenario method /

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...

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Bibliographic Details
Main Authors: Hlava c ek, Ivan, 1933
Corporate Authors: Elsevier Science & Technology
Group Author: Chleboun, Jan; Babus ka, Ivo
Published: Elsevier,
Publisher Address: Amsterdam ; Boston :
Publication Dates: 2004.
Literature type: eBook
Language: English
Edition: First edition.
Series: North-Holland series in applied mathematics and mechanics ; v. 46
Subjects:
Uncertainty Information theory
Error analysis Mathematics
Mathematical models
MATHEMATICS > General
Electronic books
Online Access: http://www.sciencedirect.com/science/bookseries/01675931/46
Summary: 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, is pre
Carrier Form: 1 online resource (xxvi, 458 pages) : illustrations.
Bibliography: Includes bibliographical references (pages 427-448) and index.
ISBN: 9780444514356
044451435X
9780080543376
0080543375
Index Number: Q375
CLC: O236
Contents: Preface -- List of Figures -- List of Tables -- Introduction -- Acknowledgments -- I Reality, Mathematics, and Computation -- II General Abstract Scheme and the Analysis of the Worst Scenario Method -- III Quasilinear Elliptic Boundary Value Problems -- IV Parabolic Problems -- V Elastic and Thermoelastic Beams -- VI Elastic Plates and Pseudoplates -- VII Contact Problems in Elasticity and Thermoelasticity -- VIII Hencky's and Deformation Theories of Plasticity -- IX Flow Theories of Plasticity -- X Domains With Uncertain Boundary -- XI Essentials of Sensitivity and Functional Analysis -- Ap

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