Regularization Methods And Finite Element Approximation Of Hemivariational Inequalities With Applications To Nonmonotone Contact Problems

Author : Nina Ovcharova
Publisher :
ISBN 13 : 9783954041800
Total Pages : 189 pages
Book Rating : 4.04/5 ( download)

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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:

Author : J. Haslinger
Publisher : Springer Science & Business Media
ISBN 13 : 1475752334
Total Pages : 278 pages
Book Rating : 4.35/5 ( download)

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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.

Author : Vladimir F. Demyanov
Publisher : Springer Science & Business Media
ISBN 13 : 1461486157
Total Pages : 258 pages
Book Rating : 4.52/5 ( download)

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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.

Author : Joachim Gwinner
Publisher : Springer
ISBN 13 : 3319920014
Total Pages : 661 pages
Book Rating : 4.16/5 ( download)

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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.

Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 1493908081
Total Pages : 611 pages
Book Rating : 4.80/5 ( download)

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Download or read book Optimization in Science and Engineering written by Themistocles M. Rassias and published by Springer. This book was released on 2014-05-29 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization in Science and Engineering is dedicated in honor of the 60th birthday of Distinguished Professor Panos M. Pardalos. Pardalos’s past and ongoing work has made a significant impact on several theoretical and applied areas in modern optimization. As tribute to the diversity of Dr. Pardalos’s work in Optimization, this book comprises a collection of contributions from experts in various fields of this rich and diverse area of science. Topics highlight recent developments and include: Deterministic global optimization Variational inequalities and equilibrium problems Approximation and complexity in numerical optimization Non-smooth optimization Statistical models and data mining Applications of optimization in medicine, energy systems, and complex network analysis This volume will be of great interest to graduate students, researchers, and practitioners, in the fields of optimization and engineering.

Author : Aref Jeribi
Publisher : Birkhäuser
ISBN 13 : 331918041X
Total Pages : 406 pages
Book Rating : 4.10/5 ( download)

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Download or read book Applied Mathematics in Tunisia written by Aref Jeribi and published by Birkhäuser. This book was released on 2015-10-05 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume presents some recent theoretical advances in mathematics and its applications in various areas of science and technology. Written by internationally recognized scientists and researchers, the chapters in this book are based on talks given at the International Conference on Advances in Applied Mathematics (ICAAM), which took place December 16-19, 2013, in Hammamet, Tunisia. Topics discussed at the conference included spectral theory, operator theory, optimization, numerical analysis, ordinary and partial differential equations, dynamical systems, control theory, probability, and statistics. These proceedings aim to foster and develop further growth in all areas of applied mathematics.

Author :
Publisher :
ISBN 13 :
Total Pages : 1770 pages
Book Rating : 4.33/5 ( download)

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Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1770 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : J.J. Moreau
Publisher : Springer
ISBN 13 : 370912624X
Total Pages : 466 pages
Book Rating : 4.40/5 ( download)

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Download or read book Nonsmooth Mechanics and Applications written by J.J. Moreau and published by Springer. This book was released on 2014-05-04 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Panagiotis D. Panagiotopoulos
Publisher : Springer Science & Business Media
ISBN 13 : 3642516777
Total Pages : 453 pages
Book Rating : 4.71/5 ( download)

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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.

Author : Mircea Sofonea
Publisher : CRC Press
ISBN 13 : 1351649299
Total Pages : 334 pages
Book Rating : 4.92/5 ( download)

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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 334 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.