Variational And Hemivariational Inequalities Theory Methods And Applications

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Variational and Hemivariational Inequalities - Theory, Methods and Applications

D. Goeleven,Dumitru Motreanu
Variational and Hemivariational Inequalities Theory Methods and Applications Book PDF

Author : D. Goeleven,Dumitru Motreanu
Publisher : Springer Science & Business Media
Page : 361 pages
File Size : 47,8 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9781441987587

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Variational and Hemivariational Inequalities - Theory, Methods and Applications by D. Goeleven,Dumitru Motreanu Pdf

This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time. Audience: The book is suitable for researchers, and for doctoral and post-doctoral courses.

Variational and Hemivariational Inequalities Theory, Methods and Applications

D. Goeleven,Dumitru Motreanu,Y. Dumont,M. Rochdi
Variational and Hemivariational Inequalities Theory Methods and Applications Book PDF

Author : D. Goeleven,Dumitru Motreanu,Y. Dumont,M. Rochdi
Publisher : Springer Science & Business Media
Page : 417 pages
File Size : 48,6 Mb
Release : 2013-11-27
Category : Mathematics
ISBN : 9781441986108

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Variational and Hemivariational Inequalities Theory, Methods and Applications by D. Goeleven,Dumitru Motreanu,Y. Dumont,M. Rochdi Pdf

This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time.

Variational and Hemivariational Inequalities - Theory, Methods and Applications

DANIEL Goeleven,Dumitru Motreanu
Variational and Hemivariational Inequalities Theory Methods and Applications Book PDF

Author : DANIEL Goeleven,Dumitru Motreanu
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 51,8 Mb
Release : 2003-08-31
Category : Mathematics
ISBN : 1402075383

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Variational and Hemivariational Inequalities - Theory, Methods and Applications by DANIEL Goeleven,Dumitru Motreanu Pdf

This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time. Audience: The book is suitable for researchers, and for doctoral and post-doctoral courses.

Advances in Variational and Hemivariational Inequalities

Weimin Han,Stanisław Migórski,Mircea Sofonea
Advances in Variational and Hemivariational Inequalities Book PDF

Author : Weimin Han,Stanisław Migórski,Mircea Sofonea
Publisher : Springer
Page : 383 pages
File Size : 41,8 Mb
Release : 2015-03-02
Category : Mathematics
ISBN : 9783319144900

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Advances in Variational and Hemivariational Inequalities by Weimin Han,Stanisław Migórski,Mircea Sofonea Pdf

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.

Variational and Hemivariational Inequalities - Theory, Methods and Applications

DANIEL Goeleven,Dumitru Motreanu
Variational and Hemivariational Inequalities Theory Methods and Applications Book PDF

Author : DANIEL Goeleven,Dumitru Motreanu
Publisher : Springer
Page : 354 pages
File Size : 45,9 Mb
Release : 2014-01-23
Category : Mathematics
ISBN : 1441987592

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Variational and Hemivariational Inequalities - Theory, Methods and Applications by DANIEL Goeleven,Dumitru Motreanu Pdf

This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time. Audience: The book is suitable for researchers, and for doctoral and post-doctoral courses.

Variational and Hemivariational Inequalities Theory, Methods and Applications

D. Goeleven,Dumitru Motreanu
Variational and Hemivariational Inequalities Theory Methods and Applications Book PDF

Author : D. Goeleven,Dumitru Motreanu
Publisher : American Mathematical Soc.
Page : 428 pages
File Size : 55,9 Mb
Release : 2003-07-31
Category : Mathematics
ISBN : 1402075375

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Variational and Hemivariational Inequalities Theory, Methods and Applications by D. Goeleven,Dumitru Motreanu Pdf

This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time.

Finite Element Method for Hemivariational Inequalities

J. Haslinger,M. Miettinen,P. D. Panagiotopoulos
Finite Element Method for Hemivariational Inequalities Book PDF

Author : J. Haslinger,M. Miettinen,P. D. Panagiotopoulos
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 46,9 Mb
Release : 1999-08-31
Category : Mathematics
ISBN : 0792359518

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Finite Element Method for Hemivariational Inequalities by J. Haslinger,M. Miettinen,P. D. Panagiotopoulos Pdf

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.

Variational-Hemivariational Inequalities with Applications

Mircea Sofonea,Stanislaw Migorski
Variational Hemivariational Inequalities with Applications Book PDF

Author : Mircea Sofonea,Stanislaw Migorski
Publisher : CRC Press
Page : 334 pages
File Size : 48,8 Mb
Release : 2017-10-23
Category : Mathematics
ISBN : 9781351649292

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Variational-Hemivariational Inequalities with Applications by Mircea Sofonea,Stanislaw Migorski Pdf

This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors’ original results, it introduces a general fixed point principle and its application to various nonlinear problems in analysis and mechanics. The classes of history-dependent operators and almost history-dependent operators are exposed in a large generality. A systematic and unified presentation contains a carefully-selected collection of new results on variational-hemivariational inequalities with or without unilateral constraints. A wide spectrum of static, quasistatic, dynamic contact problems for elastic, viscoelastic and viscoplastic materials illustrates the applicability of these theoretical results. Written for mathematicians, applied mathematicians, engineers and scientists, it is also a valuable tool for graduate students and researchers in nonlinear analysis, mathematical modelling, mechanics of solids, and contact mechanics.

Hemivariational Inequalities

Panagiotis D. Panagiotopoulos
Hemivariational Inequalities Book PDF

Author : Panagiotis D. Panagiotopoulos
Publisher : Springer Science & Business Media
Page : 453 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642516771

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Hemivariational Inequalities by Panagiotis D. Panagiotopoulos Pdf

The aim of the present book is the formulation, mathematical study and numerical treatment of static and dynamic problems in mechanics and engineering sciences involving nonconvex and nonsmooth energy functions, or nonmonotone and multivalued stress-strain laws. Such problems lead to a new type of variational forms, the hemivariational inequalities, which also lead to multivalued differential or integral equations. Innovative numerical methods are presented for the treament of realistic engineering problems. This book is the first to deal with variational theory of engineering problems involving nonmonotone multivalue realations, their mechanical foundation, their mathematical study (existence and certain approximation results) and the corresponding eigenvalue and optimal control problems. All the numerical applications give innovative answers to as yet unsolved or partially solved engineering problems, e.g. the adhesive contact in cracks, the delamination problem, the sawtooth stress-strain laws in composites, the shear connectors in composite beams, the semirigid connections in steel structures, the adhesive grasping in robotics, etc. The book closes with the consideration of hemivariational inequalities for fractal type geometries and with the neural network approach to the numerical treatment of hemivariational inequalities.

Nonlinear Inclusions and Hemivariational Inequalities

Stanisław Migórski,Anna Ochal,Mircea Sofonea
Nonlinear Inclusions and Hemivariational Inequalities Book PDF

Author : Stanisław Migórski,Anna Ochal,Mircea Sofonea
Publisher : Springer Science & Business Media
Page : 293 pages
File Size : 48,6 Mb
Release : 2012-09-18
Category : Mathematics
ISBN : 9781461442325

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Nonlinear Inclusions and Hemivariational Inequalities by Stanisław Migórski,Anna Ochal,Mircea Sofonea Pdf

This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of contact mechanics. The work covers both abstract results in the area of nonlinear inclusions, hemivariational inequalities as well as the study of specific contact problems, including their modelling and their variational analysis. Provided results are based on original research on the existence, uniqueness, regularity and behavior of the solution for various classes of nonlinear stationary and evolutionary inclusions. In carrying out the variational analysis of various contact models, one systematically uses results of hemivariational inequalities and, in this way, illustrates the applications of nonlinear analysis in contact mechanics. New mathematical methods are introduced and applied in the study of nonlinear problems, which describe the contact between a deformable body and a foundation. Contact problems arise in industry, engineering and geophysics. Their variational analysis presented in this book lies the background for their numerical analysis. This volume will interest mathematicians, applied mathematicians, engineers, and scientists as well as advanced graduate students.

Finite Element Method for Hemivariational Inequalities

J. Haslinger,M. Miettinen,Panagiotis D. Panagiotopoulos
Finite Element Method for Hemivariational Inequalities Book PDF

Author : J. Haslinger,M. Miettinen,Panagiotis D. Panagiotopoulos
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 44,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475752335

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Finite Element Method for Hemivariational Inequalities by J. Haslinger,M. Miettinen,Panagiotis D. Panagiotopoulos Pdf

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.

Mathematical Theory of Hemivariational Inequalities and Applications

Zdzistaw Naniewicz,P. D. Panagiotopoulos
Mathematical Theory of Hemivariational Inequalities and Applications Book PDF

Author : Zdzistaw Naniewicz,P. D. Panagiotopoulos
Publisher : CRC Press
Page : 296 pages
File Size : 53,6 Mb
Release : 2021-07-28
Category : Mathematics
ISBN : 9781000445053

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Mathematical Theory of Hemivariational Inequalities and Applications by Zdzistaw Naniewicz,P. D. Panagiotopoulos Pdf

Gives a complete and rigorous presentation of the mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions. A theory of the existence of solutions for inequality problems involving monconvexity and nonsmoothness is established.

Complementarity and Variational Inequalities in Electronics

Daniel Goeleven
Complementarity and Variational Inequalities in Electronics Book PDF

Author : Daniel Goeleven
Publisher : Academic Press
Page : 210 pages
File Size : 43,9 Mb
Release : 2017-05-18
Category : Mathematics
ISBN : 9780128133903

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Complementarity and Variational Inequalities in Electronics by Daniel Goeleven Pdf

Complementarity and Variational Inequalities in Electronics evaluates the main mathematical models relevant to the study of electrical network problems involving devices. The book focuses on complementarity problems, variational inequalities and non-regular dynamical systems which are well-known for their applications in mechanics and economics, but rarely target electrical applications. The book uses these tools to review the qualitative properties of devices, including slicers, amplitude selectors, sampling gates, operational amplifiers, and four-diode bridge full-wave rectifiers. Users will find demonstrations on how to compute optimized output signal relevant to potentially superior applications. In addition, the book describes how to determine the stationary points of dynamical circuits and to determine the corresponding Lyapunov stability and attractivity properties, topics of major importance for further dynamical analysis and control. Hemivariational inequalities are also covered in some depth relevant to application in thyristor devices. Reviews the main mathematical models applicable to the study of electrical networks involving diodes and transistors Focuses on theoretical existence and uniqueness of a solution, stability of stationary solutions, and invariance properties Provides realistic complementarity and variational problems to illustrate theoretical results Evaluates applications of the theory across many devices, including slicers, amplitude selectors, sampling gates, operational amplifiers, and four-diode bridge full-wave rectifiers Details both fully developed mathematical proofs and common models used in electronics Provides a comprehensive literature review, including thousands of relevant references

Difference Equations and Inequalities

Ravi P. Agarwal
Difference Equations and Inequalities Book PDF

Author : Ravi P. Agarwal
Publisher : CRC Press
Page : 1010 pages
File Size : 52,5 Mb
Release : 2000-01-27
Category : Mathematics
ISBN : 1420027026

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Difference Equations and Inequalities by Ravi P. Agarwal Pdf

A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and

Constructive Nonsmooth Analysis and Related Topics

Vladimir F. Demyanov,Panos M. Pardalos,Mikhail Batsyn
Constructive Nonsmooth Analysis and Related Topics Book PDF

Author : Vladimir F. Demyanov,Panos M. Pardalos,Mikhail Batsyn
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 49,7 Mb
Release : 2013-11-12
Category : Mathematics
ISBN : 9781461486152

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Constructive Nonsmooth Analysis and Related Topics by Vladimir F. Demyanov,Panos M. Pardalos,Mikhail Batsyn Pdf

This volume contains a collection of papers based on lectures and presentations delivered at the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg (Russia) from June 18-23, 2012. This conference was organized to mark the 50th anniversary of the birth of nonsmooth analysis and nondifferentiable optimization and was dedicated to J.-J. Moreau and the late B.N. Pshenichnyi, A.M. Rubinov, and N.Z. Shor, whose contributions to NSA and NDO remain invaluable. The first four chapters of the book are devoted to the theory of nonsmooth analysis. Chapters 5-8 contain new results in nonsmooth mechanics and calculus of variations. Chapters 9-13 are related to nondifferentiable optimization, and the volume concludes with four chapters containing interesting and important historical chapters, including tributes to three giants of nonsmooth analysis, convexity, and optimization: Alexandr Alexandrov, Leonid Kantorovich, and Alex Rubinov. The last chapter provides an overview and important snapshots of the 50-year history of convex analysis and optimization.