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Item Details
Title: FINITE ELEMENT METHOD FOR HEMIVARIATIONAL INEQUALITIES
THEORY, METHODS AND APPLICATIONS
By: J. Haslinger, P. D. Panagiotopoulos, Markku Miettinen
Format: Paperback

List price: £109.99


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ISBN 10: 1441948155
ISBN 13: 9781441948151
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 10 December, 2010
Edition: Softcover reprint of hardcover 1st ed. 1999
Series: Nonconvex Optimization and Its Applications 35
Pages: 260
Synopsis: 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 class of hemivariational inequalities of elliptic and parabolic type. Finite element models are described and their convergence properties are established. Discretized models are numerically treated as nonconvex and nonsmooth optimization problems. The book includes a comprehensive description of typical representants of nonsmooth optimization methods. Basic knowledge of finite element mathematics, functional and nonsmooth analysis is needed. The book is self-contained, and all necessary results from these disciplines are summarized in the introductory chapter. Audience: Engineers and applied mathematicians at universities and working in industry. Also graduate-level students in advanced nonlinear computational mechanics, mathematics of finite elements and approximation theory. Chapter 1 includes the necessary prerequisite materials.
Illustrations: XXV, 260 p.
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
Some other items by this author:
FINITE ELEMENT APPROXIMATION FOR OPTIMAL SHAPE, MATERIAL AND TOPOLOGY DESIGN (HB)
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FROM CONVEXITY TO NONCONVEXITY (PB)
HEMIVARIATIONAL INEQUALITIES (HB)
HEMIVARIATIONAL INEQUALITIES (PB)
INEQUALITY PROBLEMS IN MECHANICS AND APPLICATIONS (PB)
INTRODUCTION TO SHAPE OPTIMIZATION (HB)
MATHEMATICAL THEORY OF HEMIVARIATIONAL INEQUALITIES AND APPLICATIONS
MATHEMATICAL THEORY OF HEMIVARIATIONAL INEQUALITIES AND APPLICATIONS (HB)
MINIMAX THEOREMS AND QUALITATIVE PROPERTIES OF THE SOLUTIONS OF HEMIVARIATIONAL INEQUALITIES (HB)
MINIMAX THEOREMS AND QUALITATIVE PROPERTIES OF THE SOLUTIONS OF HEMIVARIATIONAL INEQUALITIES (PB)
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NONSMOOTH MECHANICS AND APPLICATIONS (PB)
QUASIDIFFERENTIABILITY AND NONSMOOTH MODELLING IN MECHANICS, ENGINEERING AND ECONOMICS (HB)
SOLUTION OF VARIATIONAL INEQUALITIES IN MECHANICS (PB)
THE BOUNDARY INTEGRAL APPROACH TO STATIC AND DYNAMIC CONTACT PROBLEMS (HB)
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