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Advances in variational and hemivari...

Han, Weimin.

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Advances in variational and hemivariational inequalities = theory, numerical analysis, and applications /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Advances in variational and hemivariational inequalities/ edited by Weimin Han, Stanislaw Migorski, Mircea Sofonea.
其他題名:	theory, numerical analysis, and applications /
其他作者:	Han, Weimin.
出版者:	Cham :Springer International Publishing : : 2015.,
面頁冊數:	xiii, 383 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Variational inequalities (Mathematics) -
電子資源:	http://dx.doi.org/10.1007/978-3-319-14490-0
ISBN:	9783319144900 (electronic bk.)

Advances in variational and hemivariational inequalities = theory, numerical analysis, and applications /
Advances in variational and hemivariational inequalitiestheory, numerical analysis, and applications /[electronic resource] :edited by Weimin Han, Stanislaw Migorski, Mircea Sofonea. - Cham :Springer International Publishing :2015. - xiii, 383 p. :ill. (some col.), digital ;24 cm. - Advances in mechanics and mathematics,v.331571-8689 ;. - Advances in mechanics and mathematics ;v.27..

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.

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.

ISBN: 9783319144900 (electronic bk.)

Standard No.: 10.1007/978-3-319-14490-0doiSubjects--Topical Terms:

712918
Variational inequalities (Mathematics)

LC Class. No.: QA316

Dewey Class. No.: 515.64

Advances in variational and hemivariational inequalities = theory, numerical analysis, and applications /
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520 $a 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.
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