Getting Acquainted With Homogenization And Multiscale

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Getting Acquainted with Homogenization and Multiscale

Author : Leonid Berlyand
Publisher : Springer
ISBN 13 : 303001777X
Total Pages : 178 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Getting Acquainted with Homogenization and Multiscale by : Leonid Berlyand

Download or read book Getting Acquainted with Homogenization and Multiscale written by Leonid Berlyand and published by Springer. This book was released on 2018-11-22 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions to Gamma convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow. A blend of mathematics and examples from materials science and engineering is designed to teach a mixed audience of mathematical and non-mathematical students.

Homogenization Theory for Multiscale Problems

Author : Xavier Blanc
Publisher : Springer Nature
ISBN 13 : 3031218337
Total Pages : 469 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Homogenization Theory for Multiscale Problems by : Xavier Blanc

Download or read book Homogenization Theory for Multiscale Problems written by Xavier Blanc and published by Springer Nature. This book was released on 2023-04-29 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. It also mixes the most abstract aspects with some more practical aspects regarding the numerical approaches necessary to simulate such multiscale problems. Based on lecture courses of the authors, the book is suitable for graduate students of mathematics and engineering.

Nonlinear Reaction-Diffusion Processes for Nanocomposites

Author : Jesús Ildefonso Díaz
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110647516
Total Pages : 178 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Nonlinear Reaction-Diffusion Processes for Nanocomposites by : Jesús Ildefonso Díaz

Download or read book Nonlinear Reaction-Diffusion Processes for Nanocomposites written by Jesús Ildefonso Díaz and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-06-21 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief J rgen Appell, W rzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Toruń, Poland Vicenţiu D. Rădulescu, Krak w, Poland Simeon Reich, Haifa, Israel Please submit book proposals to J rgen Appell. Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Homogenization Methods for Multiscale Mechanics

Author : Chiang C. Mei
Publisher : World Scientific
ISBN 13 : 9814282448
Total Pages : 349 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Homogenization Methods for Multiscale Mechanics by : Chiang C. Mei

Download or read book Homogenization Methods for Multiscale Mechanics written by Chiang C. Mei and published by World Scientific. This book was released on 2010 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many physical problems several scales present either in space or in time, caused by either inhomogeneity of the medium or complexity of the mechanical process. A fundamental approach is to first construct micro-scale models, and then deduce the macro-scale laws and the constitutive relations by properly averaging over the micro-scale. The perturbation method of multiple scales can be used to derive averaged equations for a much larger scale from considerations of the small scales. In the mechanics of multiscale media, the analytical scheme of upscaling is known as the Theory of Homogenization The authors share the view that the general methods of homogenization should be more widely understood and practiced by applied scientists and engineers. Hence this book is aimed at providing a less abstract treatment of the theory of homogenization for treating inhomogeneous media, and at illustrating its broad range of applications. Each chapter deals with a different class of physical problems. To tackle a new problem, the novel approach of first discussing the physically relevant scales, then identifying the small parameters and their roles in the normalized governing equations is adopted. The details of asymptotic analysis are only explained afterwards.

Multiscale Methods

Author : Grigoris Pavliotis
Publisher : Springer Science & Business Media
ISBN 13 : 0387738290
Total Pages : 314 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Multiscale Methods by : Grigoris Pavliotis

Download or read book Multiscale Methods written by Grigoris Pavliotis and published by Springer Science & Business Media. This book was released on 2008-01-18 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to multiscale methods gives you a broad overview of the methods’ many uses and applications. The book begins by setting the theoretical foundations of the methods and then moves on to develop models and prove theorems. Extensive use of examples shows how to apply multiscale methods to solving a variety of problems. Exercises then enable you to build your own skills and put them into practice. Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter.With the exception of Chapter One, all chapters are supplemented with exercises.

Computational Homogenization of Heterogeneous Materials with Finite Elements

Author : Julien Yvonnet
Publisher : Springer
ISBN 13 : 3030183831
Total Pages : 223 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Computational Homogenization of Heterogeneous Materials with Finite Elements by : Julien Yvonnet

Download or read book Computational Homogenization of Heterogeneous Materials with Finite Elements written by Julien Yvonnet and published by Springer. This book was released on 2019-06-11 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements. Starting from simple cases (linear thermal case) the problems are progressively complexified to finish with nonlinear problems. The book is not an overview of current research in that field, but a course book, and summarizes established knowledge in this area such that students or researchers who would like to start working on this subject will acquire the basics without any preliminary knowledge about homogenization. More specifically, the book is written with the objective of practical implementation of the methodologies in simple programs such as Matlab. The presentation is kept at a level where no deep mathematics are required.

Multiscale Methods

Author : G A Pavliotis
Publisher : Springer
ISBN 13 : 9780387520353
Total Pages : 0 pages
Book Rating : 4.5/5 (23 download)

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Book Synopsis Multiscale Methods by : G A Pavliotis

Download or read book Multiscale Methods written by G A Pavliotis and published by Springer. This book was released on 2008-11-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to multiscale methods gives you a broad overview of the methods’ many uses and applications. The book begins by setting the theoretical foundations of the methods and then moves on to develop models and prove theorems. Extensive use of examples shows how to apply multiscale methods to solving a variety of problems. Exercises then enable you to build your own skills and put them into practice. Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter.With the exception of Chapter One, all chapters are supplemented with exercises.

Principles of Multiscale Modeling

Author : Weinan E
Publisher : Cambridge University Press
ISBN 13 : 1107096545
Total Pages : 485 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Principles of Multiscale Modeling by : Weinan E

Download or read book Principles of Multiscale Modeling written by Weinan E and published by Cambridge University Press. This book was released on 2011-07-07 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic discussion of the fundamental principles, written by a leading contributor to the field.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 804 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Homogenization

Author : Doïna Cioranescu
Publisher : Oxford University Press on Demand
ISBN 13 : 9780198565543
Total Pages : 262 pages
Book Rating : 4.5/5 (655 download)

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Book Synopsis An Introduction to Homogenization by : Doïna Cioranescu

Download or read book An Introduction to Homogenization written by Doïna Cioranescu and published by Oxford University Press on Demand. This book was released on 1999 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composite materials are widely used in industry: well-known examples of this are the superconducting multi-filamentary composites which are used in the composition of optical fibres. Such materials are complicated to model, as different points in the material will have different properties. The mathematical theory of homogenization is designed to deal with this problem, and hence is used to model the behaviour of these important materials. This book provides a self-contained and authoritative introduction to the subject for graduates and researchers in the field.

An Introduction to Reservoir Simulation Using MATLAB/GNU Octave

Author : Knut-Andreas Lie
Publisher : Cambridge University Press
ISBN 13 : 1108492436
Total Pages : 677 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis An Introduction to Reservoir Simulation Using MATLAB/GNU Octave by : Knut-Andreas Lie

Download or read book An Introduction to Reservoir Simulation Using MATLAB/GNU Octave written by Knut-Andreas Lie and published by Cambridge University Press. This book was released on 2019-08-08 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents numerical methods for reservoir simulation, with efficient implementation and examples using widely-used online open-source code, for researchers, professionals and advanced students. This title is also available as Open Access on Cambridge Core.

Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids

Author : Laura De Lorenzis
Publisher : Springer Nature
ISBN 13 : 3030375188
Total Pages : 225 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids by : Laura De Lorenzis

Download or read book Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids written by Laura De Lorenzis and published by Springer Nature. This book was released on 2020-02-08 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.

Emulsifiers in Food Technology

Author : Viggo Norn
Publisher : John Wiley & Sons
ISBN 13 : 0470670630
Total Pages : 379 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis Emulsifiers in Food Technology by : Viggo Norn

Download or read book Emulsifiers in Food Technology written by Viggo Norn and published by John Wiley & Sons. This book was released on 2015-01-20 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emulsifiers are essential components of many industrial food recipes. They have the ability to act at the interface between two phases, and so can stabilise the desired mix of oil and water in a mayonnaise, ice cream or salad dressing. They can also stabilise gas/liquid mixtures in foams. More than that, they are increasingly employed in textural and organoleptic modification, in shelf life enhancement, and as complexing or stabilising agents for other components such as starch or protein. Applications include modifying the rheology of chocolate, the strengthening of dough, crumb softening and the retardation of staling in bread. This volume, now in a revised and updated second edition, introduces emulsifiers to those previously unfamiliar with their functions, and provides a state of the art account of their chemistry, manufacture, application and legal status for more experienced food technologists. Each chapter considers one of the main chemical groups of food emulsifiers. Within each group the structures of the emulsifiers are considered, together with their modes of action. This is followed by a discussion of their production / extraction and physical characteristics, together with practical examples of their application. Appendices cross-reference emulsifier types with applications, and give E-numbers, international names, synonyms and references to analytical standards and methods. This is a book for food scientists and technologists, ingredients suppliers and quality assurance personnel.

Numerical Simulation in Molecular Dynamics

Author : Michael Griebel
Publisher : Springer Science & Business Media
ISBN 13 : 3540680950
Total Pages : 472 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Numerical Simulation in Molecular Dynamics by : Michael Griebel

Download or read book Numerical Simulation in Molecular Dynamics written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2007-08-16 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details the necessary numerical methods, the theoretical background and foundations and the techniques involved in creating computer particle models, including linked-cell method, SPME-method, tree codes, amd multipol technique. It illustrates modeling, discretization, algorithms and their parallel implementation with MPI on computer systems with distributed memory. The text offers step-by-step explanations of numerical simulation, providing illustrative code examples. With the description of the algorithms and the presentation of the results of various simulations from fields such as material science, nanotechnology, biochemistry and astrophysics, the reader of this book will learn how to write programs capable of running successful experiments for molecular dynamics.

Mathematics as a Tool

Author : Johannes Lenhard
Publisher : Springer
ISBN 13 : 3319544691
Total Pages : 285 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Mathematics as a Tool by : Johannes Lenhard

Download or read book Mathematics as a Tool written by Johannes Lenhard and published by Springer. This book was released on 2017-04-04 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book puts forward a new role for mathematics in the natural sciences. In the traditional understanding, a strong viewpoint is advocated, on the one hand, according to which mathematics is used for truthfully expressing laws of nature and thus for rendering the rational structure of the world. In a weaker understanding, many deny that these fundamental laws are of an essentially mathematical character, and suggest that mathematics is merely a convenient tool for systematizing observational knowledge. The position developed in this volume combines features of both the strong and the weak viewpoint. In accordance with the former, mathematics is assigned an active and even shaping role in the sciences, but at the same time, employing mathematics as a tool is taken to be independent from the possible mathematical structure of the objects under consideration. Hence the tool perspective is contextual rather than ontological. Furthermore, tool-use has to respect conditions like suitability, efficacy, optimality, and others. There is a spectrum of means that will normally differ in how well they serve particular purposes. The tool perspective underlines the inevitably provisional validity of mathematics: any tool can be adjusted, improved, or lose its adequacy upon changing practical conditions.

Tutorials in Metamaterials

Author : Mikhail A. Noginov
Publisher : CRC Press
ISBN 13 : 1420092197
Total Pages : 308 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Tutorials in Metamaterials by : Mikhail A. Noginov

Download or read book Tutorials in Metamaterials written by Mikhail A. Noginov and published by CRC Press. This book was released on 2016-04-19 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: From science fiction to science laboratoriesDiscover the State of the Art in Photonic MetamaterialsMetamaterials-composite media with unusual optical properties-have revolutionized the landscape of optical science and engineering over the past decades. Metamaterials have transformed science-fiction-like concepts of superresolution imaging and optic

Landscape Ecology in Theory and Practice

Author : Monica G. Turner
Publisher : Springer Science & Business Media
ISBN 13 : 0387216944
Total Pages : 353 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Landscape Ecology in Theory and Practice by : Monica G. Turner

Download or read book Landscape Ecology in Theory and Practice written by Monica G. Turner and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: An ideal text for students taking a course in landscape ecology. The book has been written by very well-known practitioners and pioneers in the new field of ecological analysis. Landscape ecology has emerged during the past two decades as a new and exciting level of ecological study. Environmental problems such as global climate change, land use change, habitat fragmentation and loss of biodiversity have required ecologists to expand their traditional spatial and temporal scales and the widespread availability of remote imagery, geographic information systems, and desk top computing has permitted the development of spatially explicit analyses. In this new text book this new field of landscape ecology is given the first fully integrated treatment suitable for the student. Throughout, the theoretical developments, modeling approaches and results, and empirical data are merged together, so as not to introduce barriers to the synthesis of the various approaches that constitute an effective ecological synthesis. The book also emphasizes selected topic areas in which landscape ecology has made the most contributions to our understanding of ecological processes, as well as identifying areas where its contributions have been limited. Each chapter features questions for discussion as well as recommended reading.