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Advances in Variational and Hemivariational Inequalities

Theory, Numerical Analysis, and Applications

  • Book
  • © 2015

Overview

Editors:
  1. Weimin Han

    1. University of Iowa, Iowa City, IA, USA and Xi'an Jiaotong Universiry, Xi'an, China

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  2. Stanisław Migórski

    1. Faculty of Mathematics and Computer Scie Institute of Computer Science, Jagiellonian University, Kraków, Poland

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  3. Mircea Sofonea

    1. Laboratoire de Mathématiques et Physique (LAMPS), Université de Perpignan Via Domitia, Perpignan, France

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  • Presents results of variational and hemivariational inequalities, with accompanying proofs
  • Gives an overview of the applications of nonlinear analysis in fields including Contact Mechanics
  • Shows how abstract results can be applied to problems arising in the realm of Engineering

Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 33)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Theory

    1. Front Matter

      Pages 1-1
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    2. Bifurcation Phenomena for Parametric Nonlinear Elliptic Hemivariational Inequalities

      • Leszek Gasiński, Nikolaos S. Papageorgiou
      Pages 3-37

    3. Evolutionary Inclusions and Hemivariational Inequalities

      • Stanisław Migórski, Anna Ochal, Mircea Sofonea
      Pages 39-64

    4. Location Results for Variational–Hemivariational Inequalities

      • Dumitru Motreanu, Viorica Venera Motreanu
      Pages 65-88

    5. Nonconvex Variational Inequalities

      • Si-sheng Yao, Nan-jing Huang
      Pages 89-108

  3. Numerical Analysis

    1. Front Matter

      Pages 109-109
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    2. Numerical Methods for Evolution Hemivariational Inequalities

      • Krzysztof Bartosz
      Pages 111-144

    3. Some Extragradient Algorithms for Variational Inequalities

      • Changjie Fang, Shenglan Chen
      Pages 145-171

    4. Proximal Methods for the Elastography Inverse Problem of Tumor Identification Using an Equation Error Approach

      • Mark S. Gockenbach, Baasansuren Jadamba, Akhtar A. Khan, Christiane Tammer, Brian Winkler
      Pages 173-197

    5. Discontinuous Galerkin Methods for an Elliptic Variational Inequality of Fourth-Order

      • Fei Wang, Weimin Han, Jianguo Huang, Tianyi Zhang
      Pages 199-222

  4. Applications

    1. Front Matter

      Pages 223-223
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    2. Dynamic Gao Beam in Contact with a Reactive or Rigid Foundation

      • Kevin T. Andrews, Kenneth L. Kuttler, Meir Shillor
      Pages 225-248

    3. A Hyperelastic Dynamic Frictional Contact Model with Energy-Consistent Properties

      • Mikael Barboteu, David Danan, Mircea Sofonea
      Pages 249-275

    4. A Non-clamped Frictional Contact Problem with Normal Compliance

      • Oanh Chau, Daniel Goeleven, Rachid Oujja
      Pages 277-298

    5. On Large Time Asymptotics for Two Classes of Contact Problems

      • Piotr Kalita, Grzegorz Łukaszewicz
      Pages 299-332

    6. Hemivariational Inequalities for Dynamic Elastic-Viscoplastic Contact Problems

      • Anna Kulig
      Pages 333-353

    7. Two History-Dependent Contact Problems

      • Mircea Sofonea, Stanisław Migórski, Anna Ochal
      Pages 355-380

  5. Back Matter

    Pages 381-383
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Keywords

About this book

This volume is comprised of articles providing new results on variational and hemivariational inequalities with applications to Contact Mechanics unavailable from other sources. The book will be of particular interest to graduate students and young researchers in applied and pure mathematics, civil, aeronautical and mechanical engineering, and can be used as supplementary reading material for advanced specialized courses in mathematical modeling. New results on well posedness to stationary and evolutionary inequalities and their rigorous proofs are of particular interest to readers. In addition to results on modeling and abstract problems, the book contains new results on the numerical methods for variational and hemivariational inequalities.

Editors and Affiliations

  • University of Iowa, Iowa City, IA, USA and Xi'an Jiaotong Universiry, Xi'an, China

    Weimin Han

  • Faculty of Mathematics and Computer Scie Institute of Computer Science, Jagiellonian University, Kraków, Poland

    Stanisław Migórski

  • Laboratoire de Mathématiques et Physique (LAMPS), Université de Perpignan Via Domitia, Perpignan, France

    Mircea Sofonea

Bibliographic Information

  • Book Title: Advances in Variational and Hemivariational Inequalities

  • Book Subtitle: Theory, Numerical Analysis, and Applications

  • Editors: Weimin Han, Stanisław Migórski, Mircea Sofonea

  • Series Title: Advances in Mechanics and Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-14490-0

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-14489-4Published: 24 March 2015

  • Softcover ISBN: 978-3-319-38047-6Published: 09 October 2016

  • eBook ISBN: 978-3-319-14490-0Published: 02 March 2015

  • Series ISSN: 1571-8689

  • Series E-ISSN: 1876-9896

  • Edition Number: 1

  • Number of Pages: XIII, 383

  • Number of Illustrations: 11 b/w illustrations, 22 illustrations in colour

  • Topics: Combinatorics, Mathematical Modeling and Industrial Mathematics, Operator Theory

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