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Catalogue Information
Field name	Details
Dewey Class	519.6
Title	From Convexity to Nonconvexity ([EBook]) / edited by R. P. Gilbert, P. D. Panagiotopoulos, P. M. Pardalos.
Added Personal Name	editor
	Panagiotopoulos, Panagiotis D. , 1950-1998
	Pardalos, P. M.
	Gilbert, Robert P. , 1932-
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : Springer US , 2001.
Physical Details	XII, 396 pages : online resource.
Series	Nonconvex Optimization and Its Applications 1571-568X ; ; 55
ISBN	9781461302872
Summary Note	This collection of papers is dedicated to the memory of Gaetano Fichera, a great mathematician and also a good friend to the editors. Regrettably it took an unusual amount of time to bring this collection out. This was primarily due to the fact that the main editor who had collected all of the materials, for this volume, P. D. Panagiotopoulos, died unexpectedly during the period when we were editing the manuscript. The other two editors in appreciation of Panagiotopoulos' contribution to this field, believe it is therefore fitting that this collection be dedicated to his memory also. The theme of the collection is centered around the seminal research of G. Fichera on the Signorini problem. Variants on this idea enter in different ways. For example, by bringing in friction the problem is no longer self-adjoint and the minimization formulation is not valid. A large portion of this collection is devoted to survey papers concerning hemivariational methods, with a main point of its application to nonsmooth mechanics. Hemivariational inequali ties, which are a generalization of variational inequalities, were pioneered by Panagiotopoulos. There are many applications of this theory to the study of non convex energy functionals occurring in many branches of mechanics. An area of concentration concerns contact problems, in particular, quasistatic and dynamic contact problems with friction and damage. Nonsmooth optimization methods which may be divided into the main groups of subgradient methods and bundle methods are also discussed in this collection.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4613-0287-2
Links to Related Works	Subject References: Applications of Mathematics . Applied mathematics . Appl.Mathematics/Computational Methods of Engineering . Engineering mathematics . Mathematical optimization . Mathematics, general . Mechanics . Optimization . Authors: editor . Panagiotopoulos, Panagiotis D. 1950-1998 . Pardalos, P. M. . Corporate Authors: SpringerLink (Online service) . Series: Nonconvex Optimization and Its Applications . Classification: 519.6 .

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From Convexity to Nonconvexity

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