Finite Element Method for Hemivariational Inequalities: Theory, Methods and Applications / Edition 1

Finite Element Method for Hemivariational Inequalities: Theory, Methods and Applications / Edition 1

by J. Haslinger, Panagiotis D. Panagiotopoulos, M. Miettinen
     
 

Hemivariational inequalities represent an important class of problems in nonsmooth and nonconvex mechanics. By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated , mathematically analyzed and finally numerically solved. The present book gives a rigorous analysis of finite element approximation for a c lass of

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Overview

Hemivariational inequalities represent an important class of problems in nonsmooth and nonconvex mechanics. By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated , mathematically analyzed and finally numerically solved. The present book gives a rigorous analysis of finite element approximation for a c lass of hemivariational inequalities of elliptic and parabolic type. F inite element models are described and their convergence properties ar e established. Discretized models are numerically treated as nonconvex and nonsmooth optimization problems. The book includes a comprehensiv e description of typical representants of nonsmooth optimization metho ds. Basic knowledge of finite element mathematics, functional and nons mooth analysis is needed. The book is self-contained, and all necessar y results from these disciplines are summarized in the introductory ch apter.

Product Details

ISBN-13:
9780792359517
Publisher:
Springer US
Publication date:
08/31/1999
Series:
Nonconvex Optimization and Its Applications (closed) Series, #35
Edition description:
1999
Pages:
260
Product dimensions:
9.21(w) x 6.14(h) x 0.69(d)

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Table of Contents

Preface. List of Notations. Introduction. Part I: Introductory Topics. 1. Mathematical Preliminaries. 2. Nonsmooth Mechanics. Part II: Finite Element Approximation of Hemivariational Inequalities. 3. Approximation of Elliptic Hemivariational Inequalities. 4. Time Dependent Case. Part III: Nonsmooth Optimization Methods. 5. Nonsmooth Optimization Methods. Part IV: Numerical Examples. 6. Numerical Examples. Index.

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