Finite Element Method for Hemivariational Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 1475752334
Total Pages : 278 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Finite Element Method for Hemivariational Inequalities by : J. Haslinger

Download or read book Finite Element Method for Hemivariational Inequalities written by J. Haslinger and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Regularization Methods and Finite Element Approximation of Hemivariational Inequalities with Applications to Nonmonotone Contact Problems

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Publisher :
ISBN 13 : 9783954041800
Total Pages : 189 pages
Book Rating : 4.0/5 (418 download)

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Book Synopsis Regularization Methods and Finite Element Approximation of Hemivariational Inequalities with Applications to Nonmonotone Contact Problems by : Nina Ovcharova

Download or read book Regularization Methods and Finite Element Approximation of Hemivariational Inequalities with Applications to Nonmonotone Contact Problems written by Nina Ovcharova and published by . This book was released on 2012-09-11 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hemivariational Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 3642516777
Total Pages : 453 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Hemivariational Inequalities by : Panagiotis D. Panagiotopoulos

Download or read book Hemivariational Inequalities written by Panagiotis D. Panagiotopoulos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Finite Element Approximation of Parabolic Hemivariational Inequalities

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Publisher :
ISBN 13 : 9789513901158
Total Pages : 20 pages
Book Rating : 4.9/5 (11 download)

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Book Synopsis Finite Element Approximation of Parabolic Hemivariational Inequalities by : Markku Miettinen

Download or read book Finite Element Approximation of Parabolic Hemivariational Inequalities written by Markku Miettinen and published by . This book was released on 1997 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational-Hemivariational Inequalities with Applications

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Publisher : CRC Press
ISBN 13 : 1351649299
Total Pages : 412 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Variational-Hemivariational Inequalities with Applications by : Mircea Sofonea

Download or read book Variational-Hemivariational Inequalities with Applications written by Mircea Sofonea and published by CRC Press. This book was released on 2017-10-23 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Variational and Hemivariational Inequalities

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Publisher : Springer
ISBN 13 : 3319144901
Total Pages : 389 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Advances in Variational and Hemivariational Inequalities by : Weimin Han

Download or read book Advances in Variational and Hemivariational Inequalities written by Weimin Han and published by Springer. This book was released on 2015-03-02 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Inclusions and Hemivariational Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 146144232X
Total Pages : 293 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Nonlinear Inclusions and Hemivariational Inequalities by : Stanisław Migórski

Download or read book Nonlinear Inclusions and Hemivariational Inequalities written by Stanisław Migórski and published by Springer Science & Business Media. This book was released on 2012-09-18 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonsmooth Variational Problems and Their Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 038746252X
Total Pages : 404 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Nonsmooth Variational Problems and Their Inequalities by : Siegfried Carl

Download or read book Nonsmooth Variational Problems and Their Inequalities written by Siegfried Carl and published by Springer Science & Business Media. This book was released on 2007-06-07 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as multivalued elliptic problems, variational inequalities, hemivariational inequalities, and their corresponding evolution problems. It provides a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method.

Finite Element Methods and Their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3540280782
Total Pages : 415 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Finite Element Methods and Their Applications by : Zhangxin Chen

Download or read book Finite Element Methods and Their Applications written by Zhangxin Chen and published by Springer Science & Business Media. This book was released on 2005-10-14 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.

Encyclopedia of Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Deterministic and Stochastic Optimal Control and Inverse Problems

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Publisher : CRC Press
ISBN 13 : 1000511723
Total Pages : 394 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Deterministic and Stochastic Optimal Control and Inverse Problems by : Baasansuren Jadamba

Download or read book Deterministic and Stochastic Optimal Control and Inverse Problems written by Baasansuren Jadamba and published by CRC Press. This book was released on 2021-12-15 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations constitute a vibrant and emerging research area that has found numerous applications. A related problem of paramount importance is the optimal control problem for stochastic differential equations. This edited volume comprises invited contributions from world-renowned researchers in the subject of control and inverse problems. There are several contributions on optimal control and inverse problems covering different aspects of the theory, numerical methods, and applications. Besides a unified presentation of the most recent and relevant developments, this volume also presents some survey articles to make the material self-contained. To maintain the highest level of scientific quality, all manuscripts have been thoroughly reviewed.

The Finite Element Method for Elliptic Problems

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Publisher : SIAM
ISBN 13 : 0898715148
Total Pages : 552 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis The Finite Element Method for Elliptic Problems by : Philippe G. Ciarlet

Download or read book The Finite Element Method for Elliptic Problems written by Philippe G. Ciarlet and published by SIAM. This book was released on 2002-04-01 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only book available that fully analyzes the mathematical foundations of the finite element method. Not only is it valuable reference and introduction to current research, it is also a working textbook for graduate courses in numerical analysis, including useful figures and exercises of varying difficulty.

System Modeling and Optimization

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Publisher : Springer
ISBN 13 : 0387234675
Total Pages : 316 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis System Modeling and Optimization by : John Cagnol

Download or read book System Modeling and Optimization written by John Cagnol and published by Springer. This book was released on 2006-01-15 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: System Modeling and Optimization is an indispensable reference for anyone interested in the recent advances in these two disciplines. The book collects, for the first time, selected articles from the 21st and most recent IFIP TC 7 conference in Sophia Antipolis, France. Applied mathematicians and computer scientists can attest to the ever-growing influence of these two subjects. The practical applications of system modeling and optimization can be seen in a number of fields: environmental science, transport and telecommunications, image analysis, free boundary problems, bioscience, and non-cylindrical evolution control, to name just a few. New developments in each of these fields have contributed to a more complex understanding of both system modeling and optimization. Editors John Cagnol and Jean-Paul Zolésio, chairs of the conference, have assembled System Modeling and Optimization to present the most up-to-date developments to professionals and academics alike.

Constructive Nonsmooth Analysis and Related Topics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461486157
Total Pages : 258 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Constructive Nonsmooth Analysis and Related Topics by : Vladimir F. Demyanov

Download or read book Constructive Nonsmooth Analysis and Related Topics written by Vladimir F. Demyanov and published by Springer Science & Business Media. This book was released on 2013-11-12 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Finite Element Method for Elliptic Problems

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Publisher : Elsevier
ISBN 13 : 0080875254
Total Pages : 551 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis The Finite Element Method for Elliptic Problems by : P.G. Ciarlet

Download or read book The Finite Element Method for Elliptic Problems written by P.G. Ciarlet and published by Elsevier. This book was released on 1978-01-01 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author’s experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6. On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on “Additional Bibliography and Comments should provide many suggestions for conducting seminars.

Advanced Boundary Element Methods

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Publisher : Springer
ISBN 13 : 3319920014
Total Pages : 661 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Advanced Boundary Element Methods by : Joachim Gwinner

Download or read book Advanced Boundary Element Methods written by Joachim Gwinner and published by Springer. This book was released on 2018-07-28 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods – efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.

Nonsmooth Mechanics of Solids

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Publisher : Springer Science & Business Media
ISBN 13 : 3211482431
Total Pages : 320 pages
Book Rating : 4.2/5 (114 download)

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Book Synopsis Nonsmooth Mechanics of Solids by : Jaroslav Haslinger

Download or read book Nonsmooth Mechanics of Solids written by Jaroslav Haslinger and published by Springer Science & Business Media. This book was released on 2007-08-03 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonsmooth mechanics is a relatively complex field and requires a good knowledge of mechanics as well as a good background in some parts of modern mathematics. The present volume of lecture notes follows a very successful advanced school, with the aim to cover as much as possible all these aspects. It includes contributions that cover mechanical aspects as well as the mathematical and numerical treatment.