Nonconvex Optimization and Its Applications

Finite Element Method for Hemivariational Inequalities

Theory, Methods and Applications

Authors: Haslinger, J., Miettinen, M., Panagiotopoulos, Panagiotis D.

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About this book

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.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-1-4757-5233-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-0-7923-5951-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.99
price for USA in USD
  • ISBN 978-1-4419-4815-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Finite Element Method for Hemivariational Inequalities
Book Subtitle
Theory, Methods and Applications
Authors
Series Title
Nonconvex Optimization and Its Applications
Series Volume
35
Copyright
1999
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4757-5233-5
DOI
10.1007/978-1-4757-5233-5
Hardcover ISBN
978-0-7923-5951-7
Softcover ISBN
978-1-4419-4815-1
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XXV, 260
Topics