Homogenization Of Reticulated Structures PDF Download
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| Author | : Doina Cioranescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 367 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461221587 |
Download Homogenization of Reticulated Structures Book in PDF, ePub and Kindle
Materials science is an area of growing research as composite materials become widely used in such areas as civil engineering, electrotechnics, and the aerospace industry. This mathematically rigorous treatment of lattice-type structures will appeal to both applied mathematicians, as well as engineers looking for a solid mathematical foundation of the methodology.
| Author | : L.I. Manevitch |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 276 |
| Release | : 2013-11-11 |
| Genre | : Technology & Engineering |
| ISBN | : 3540445714 |
Download Mechanics of Periodically Heterogeneous Structures Book in PDF, ePub and Kindle
Rigorous presentation of Mathematical Homogenization Theory is the subject of numerous publications. This book, however, is intended to fill the gap in the analytical and numerical performance of the corresponding asymptotic analysis of the static and dynamic behaviors of heterogenous systems. Numerous concrete applications to composite media, heterogeneous plates and shells are considered. A lot of details, numerical results for cell problem solutions, calculations of high-order terms of asymptotic expansions, boundary layer analysis etc., are included.
| Author | : Peter I. Kogut |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 639 |
| Release | : 2011-09-09 |
| Genre | : Science |
| ISBN | : 0817681493 |
Download Optimal Control Problems for Partial Differential Equations on Reticulated Domains Book in PDF, ePub and Kindle
In the development of optimal control, the complexity of the systems to which it is applied has increased significantly, becoming an issue in scientific computing. In order to carry out model-reduction on these systems, the authors of this work have developed a method based on asymptotic analysis. Moving from abstract explanations to examples and applications with a focus on structural network problems, they aim at combining techniques of homogenization and approximation. Optimal Control Problems for Partial Differential Equations on Reticulated Domains is an excellent reference tool for graduate students, researchers, and practitioners in mathematics and areas of engineering involving reticulated domains.
| Author | : Andrej Cherkaev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 561 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461211883 |
Download Variational Methods for Structural Optimization Book in PDF, ePub and Kindle
This book bridges a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in sufficiently simple form as to make them available for practical use.
| Author | : Alain Damlamian |
| Publisher | : World Scientific |
| Total Pages | : 314 |
| Release | : 2011-10-13 |
| Genre | : Mathematics |
| ISBN | : 9814458120 |
Download Multiscale Problems: Theory, Numerical Approximation And Applications Book in PDF, ePub and Kindle
The focus of this is on the latest developments related to the analysis of problems in which several scales are presented. After a theoretical presentation of the theory of homogenization in the periodic case, the other contributions address a wide range of applications in the fields of elasticity (asymptotic behavior of nonlinear elastic thin structures, modeling of junction of a periodic family of rods with a plate) and fluid mechanics (stationary Navier-Stokes equations in porous media). Other applications concern the modeling of new composites (electromagnetic and piezoelectric materials) and imperfect transmission problems. A detailed approach of numerical finite element methods is also investigated.
| Author | : Patrizia Donato |
| Publisher | : Springer Nature |
| Total Pages | : 122 |
| Release | : 2021-02-01 |
| Genre | : Mathematics |
| ISBN | : 3030620301 |
Download Emerging Problems in the Homogenization of Partial Differential Equations Book in PDF, ePub and Kindle
This book contains some of the results presented at the mini-symposium titled Emerging Problems in the Homogenization of Partial Differential Equations, held during the ICIAM2019 conference in Valencia in July 2019. The papers cover a large range of topics, problems with weak regularity data involving renormalized solutions, eigenvalue problems for complicated shapes of the domain, homogenization of partial differential problems with strongly alternating boundary conditions of Robin type with large parameters, multiscale analysis of the potential action along a neuron with a myelinated axon, and multi-scale model of magnetorheological suspensions. The volume is addressed to scientists who deal with complex systems that presents several elements (characteristics, constituents...) of very different scales, very heterogeneous, and search for homogenized models providing an effective (macroscopic) description of their behaviors.
| Author | : Vladimir A. Marchenko |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 407 |
| Release | : 2008-12-22 |
| Genre | : Mathematics |
| ISBN | : 0817644687 |
Download Homogenization of Partial Differential Equations Book in PDF, ePub and Kindle
A comprehensive study of homogenized problems, focusing on the construction of nonstandard models Details a method for modeling processes in microinhomogeneous media (radiophysics, filtration theory, rheology, elasticity theory, and other domains) Complete proofs of all main results, numerous examples Classroom text or comprehensive reference for graduate students, applied mathematicians, physicists, and engineers
| Author | : Igor V. Andrianov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 527 |
| Release | : 2013-06-29 |
| Genre | : Science |
| ISBN | : 354045246X |
Download Asymptotical Mechanics of Thin-Walled Structures Book in PDF, ePub and Kindle
In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and their applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.
| Author | : Gilles Aubert |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 400 |
| Release | : 2006-11-30 |
| Genre | : Mathematics |
| ISBN | : 0387445889 |
Download Mathematical Problems in Image Processing Book in PDF, ePub and Kindle
The updated 2nd edition of this book presents a variety of image analysis applications, reviews their precise mathematics and shows how to discretize them. For the mathematical community, the book shows the contribution of mathematics to this domain, and highlights unsolved theoretical questions. For the computer vision community, it presents a clear, self-contained and global overview of the mathematics involved in image procesing problems. The second edition offers a review of progress in image processing applications covered by the PDE framework, and updates the existing material. The book also provides programming tools for creating simulations with minimal effort.
| Author | : Helge Holden |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 386 |
| Release | : 2007-05-15 |
| Genre | : Mathematics |
| ISBN | : 9783540432890 |
Download Front Tracking for Hyperbolic Conservation Laws Book in PDF, ePub and Kindle
This book presents the theory of hyperbolic conservation laws from basic theory to the forefront of research. The text treats the theory of scalar conservation laws in one dimension in detail, showing the stability of the Cauchy problem using front tracking. The extension to multidimensional scalar conservation laws is obtained using dimensional splitting. The book includes detailed discussion of the recent proof of well-posedness of the Cauchy problem for one-dimensional hyperbolic conservation laws, and a chapter on traditional finite difference methods for hyperbolic conservation laws with error estimates and a section on measure valued solutions.
