Advances in Variational and Hemivariational Inequalities : Theory, Numerical Analysis, and Applications / edited by Weimin Han, Stanisław Migórski, Mircea Sofonea.

Format:

Book

Contributor:

Han, Weimin., Editor.

Migórski, Stanisław., Editor.

Sofonea, Mircea., Editor.

Series:

Advances in Mechanics and Mathematics, 1876-9896 ; 33

Language:

English

Subjects (All):

Discrete mathematics.

Mathematical models.

Operator theory.

Discrete Mathematics.

Mathematical Modeling and Industrial Mathematics.

Operator Theory.

Local Subjects:

Discrete Mathematics.

Mathematical Modeling and Industrial Mathematics.

Operator Theory.

Physical Description:

1 online resource (389 p.)

Edition:

1st ed. 2015.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2015.

Language Note:

English

Summary:

Highlighting recent advances in variational and hemivariational inequalities with an emphasis on theory, numerical analysis and applications, this volume serves as an indispensable resource to graduate students and researchers interested in the latest results from recognized scholars in this relatively young and rapidly-growing field. Particularly, readers will find that the volume’s results and analysis present valuable insights into the fields of pure and applied mathematics, as well as civil, aeronautical, and mechanical engineering. Researchers and students will find new results on well posedness to stationary and evolutionary inequalities and their rigorous proofs. In addition to results on modeling and abstract problems, the book contains new results on the numerical methods for variational and hemivariational inequalities. Finally, the applications presented illustrate the use of these results in the study of miscellaneous mathematical models which describe the contact between deformable bodies and a foundation. This includes the modelling, the variational and the numerical analysis of the corresponding contact processes. Furthermore, it can be used as supplementary reading material for advanced specialized courses in mathematical modeling for students with a strong background knowledge on nonlinear analysis, numerical analysis, partial differential equations, and mechanics of continua.

Contents:

Bifurcation Phenomena for Parametric Nonlinear Elliptic Hemivariational Inequalities

Evolutionary Inclusions and Hemivariational Inequalities

Location Results for Variational-Hemivariational Inequalities

Nonconvex Variational Inequalities

Numerical Methods for Evolution Hemivariational Inequalities

Some Extragradient Algorithms for Variational Inequalities

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

Discontinuous Galerkin Methods for an Elliptic Variational Inequality of 4th-Order

Dynamic Gao Beam in Contact with a Reactive or Rigid Foundation

A Hyperelastic Dynamic Frictional Contact Model with Energy-Consistent Properties

A Non-clamped Frictional Contact Problem with Normal Compliance

On Large Time Asymptotics for Two Classes of Contact Problems

Hemivariational Inequalities for Dynamic Elastic-viscoplastic Contact Problems

Two History-dependent Contact Problems.

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters and index.

ISBN:

3-319-14490-1

OCLC:

904338881