Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics

Inbunden, Engelska, 1996

Av Vladimir F. Demyanov, Georgios E. Stavroulakis, L.N. Polyakova, P. D. Panagiotopoulos, Vladimir Dem'yanov, V. F. Demyanov, Vladimir F Demyanov, Georgios E Stavroulakis, L N Polyakova, P D Panagiotopoulos

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This text provides a rigorous presentation of the quasidifferentiability approach to nonconvex, possibly nonsmooth, energy functions of the derivation and study of the corresponding variational expressions in mechanics, engineering and economics, and of their numerical treatment. The new variational formulations derived are illustrated by many interesting numerical problems. The techniques presented should permit the reader to check any solution obtained by other heuristic techniques for nonconvex, nonsmooth energy problems. Civil, mechanical or aeronautical engineers should find in the book a mathematically sound technique for the formulation and study of nonconvex, nonsmooth energy problems.

Produktinformation

Utgivningsdatum1996-07-31
Mått155 x 235 x 22 mm
Vikt694 g
FormatInbunden
SpråkEngelska
SerieNonconvex Optimization and Its Applications
Antal sidor349
Upplaga1996
FörlagKluwer Academic Publishers
ISBN9780792340935

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Preface. Introduction. Guidelines for the Readers. 1. Nonsmooth Analysis. The One-Dimensional Case. 2. Quasidifferentiable Functions and Sets. Quasidifferentiable Optimization and Optimality Conditions. 3. Nonsmooth Mechanics I. Nonsmooth Modelling in Mechanics. 4. Nonsmooth Mechanics II. Variational Formulations Using Quasidifferentiability. 5. Additional Topics. Stability, Economics, Flow Problems, Dynamic Problems. 6. Nonsmooth Optimization Algorithms. Quasidifferentiable and Codifferentiable Optimization. 7. Nonsmooth Computational Mechanics I. Modelling and Applications. 8. Nonsmooth Computational Mechanics II. Algorithms and Examples. Subject Index.

'... In view of the growing number of recent publications dealing with nonsmooth and set-valued modelling ... this book, which was written by a multidisciplinary group of authors, seems to be the first attempt to make nonsmooth modelling and set-valued techniques accessible to applied scientists by presenting the quasidifferentiable approach by means of concrete applications. ... The book provides significant help to scientists or graduate students who need an authoritative and understandable introduction to this field, and who would also, like to extend his/her ability to model nonsmooth complicated effects in his/her work. It may also serve as a reference book for advanced graduate courses in nonsmooth modelling, optimization and engineering. ... The book appears very attractive and it is certainly unique ...' Daniel Goeleven in Mathematical Reviews, Issue 97h:49001