Greens Kernels And Meso Scale Approximations In Perforated Domains

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Green's Kernels and Meso-Scale Approximations in Perforated Domains

Author : Vladimir Maz'ya
Publisher : Springer
ISBN 13 : 3319003577
Total Pages : 265 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Green's Kernels and Meso-Scale Approximations in Perforated Domains by : Vladimir Maz'ya

Download or read book Green's Kernels and Meso-Scale Approximations in Perforated Domains written by Vladimir Maz'ya and published by Springer. This book was released on 2013-06-07 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are a wide range of applications in physics and structural mechanics involving domains with singular perturbations of the boundary. Examples include perforated domains and bodies with defects of different types. The accurate direct numerical treatment of such problems remains a challenge. Asymptotic approximations offer an alternative, efficient solution. Green’s function is considered here as the main object of study rather than a tool for generating solutions of specific boundary value problems. The uniformity of the asymptotic approximations is the principal point of attention. We also show substantial links between Green’s functions and solutions of boundary value problems for meso-scale structures. Such systems involve a large number of small inclusions, so that a small parameter, the relative size of an inclusion, may compete with a large parameter, represented as an overall number of inclusions. The main focus of the present text is on two topics: (a) asymptotics of Green’s kernels in domains with singularly perturbed boundaries and (b) meso-scale asymptotic approximations of physical fields in non-periodic domains with many inclusions. The novel feature of these asymptotic approximations is their uniformity with respect to the independent variables. This book addresses the needs of mathematicians, physicists and engineers, as well as research students interested in asymptotic analysis and numerical computations for solutions to partial differential equations.

Mechanics of High-Contrast Elastic Solids

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 303124141X
Total Pages : 271 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Mechanics of High-Contrast Elastic Solids by : Holm Altenbach

Download or read book Mechanics of High-Contrast Elastic Solids written by Holm Altenbach and published by Springer Nature. This book was released on 2023-04-11 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the most recent results in the area of strongly inhomogeneous composite structures, including layered materials as well as continua with microstructure. This collection of papers mainly arises from the Euromech Colloquium No. 626 on “Mechanics of High-Contrast Elastic Composites”. Focus is set on the peculiar mechanical behaviour caused by adjoining widely different structural elements (high contrast) in terms of material and/or geometrical properties.

Singularly Perturbed Boundary Value Problems

Author : Matteo Dalla Riva
Publisher : Springer Nature
ISBN 13 : 3030762599
Total Pages : 672 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Singularly Perturbed Boundary Value Problems by : Matteo Dalla Riva

Download or read book Singularly Perturbed Boundary Value Problems written by Matteo Dalla Riva and published by Springer Nature. This book was released on 2021-10-01 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation parameter is the size of the holes. The book is the first introduction to the topic and covers the theoretical material and its applications to a series of problems that range from simple illustrative examples to more involved research results. The Functional Analytic Approach makes constant use of the integral representation method for the solutions of boundary value problems, of Potential Theory, of the Theory of Analytic Functions both in finite and infinite dimension, and of Nonlinear Functional Analysis. Designed to serve various purposes and readerships, the extensive introductory part spanning Chapters 1–7 can be used as a reference textbook for graduate courses on classical Potential Theory and its applications to boundary value problems. The early chapters also contain results that are rarely presented in the literature and may also, therefore, attract the interest of more expert readers. The exposition moves on to introduce the Functional Analytic Approach. A reader looking for a quick introduction to the method can find simple illustrative examples specifically designed for this purpose. More expert readers will find a comprehensive presentation of the Functional Analytic Approach, which allows a comparison between the approach of the book and the more classical expansion methods of Asymptotic Analysis and offers insights on the specific features of the approach and its applications to linear and nonlinear boundary value problems.

Multiscale Model Reduction

Author : Eric Chung
Publisher : Springer Nature
ISBN 13 : 3031204093
Total Pages : 499 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Multiscale Model Reduction by : Eric Chung

Download or read book Multiscale Model Reduction written by Eric Chung and published by Springer Nature. This book was released on 2023-06-07 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the study of multiscale model reduction methods from the point of view of multiscale finite element methods. Multiscale numerical methods have become popular tools for modeling processes with multiple scales. These methods allow reducing the degrees of freedom based on local offline computations. Moreover, these methods allow deriving rigorous macroscopic equations for multiscale problems without scale separation and high contrast. Multiscale methods are also used to design efficient solvers. This book offers a combination of analytical and numerical methods designed for solving multiscale problems. The book mostly focuses on methods that are based on multiscale finite element methods. Both applications and theoretical developments in this field are presented. The book is suitable for graduate students and researchers, who are interested in this topic.

Getting Acquainted with Homogenization and Multiscale

Author : Leonid Berlyand
Publisher : Springer
ISBN 13 : 303001777X
Total Pages : 187 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 187 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.

A Panorama of Mathematics: Pure and Applied

Author : Carlos M. da Fonseca
Publisher : American Mathematical Soc.
ISBN 13 : 1470416689
Total Pages : 292 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Panorama of Mathematics: Pure and Applied by : Carlos M. da Fonseca

Download or read book A Panorama of Mathematics: Pure and Applied written by Carlos M. da Fonseca and published by American Mathematical Soc.. This book was released on 2016-02-26 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Conference on Mathematics and its Applications-2014, held from November 14-17, 2014, at Kuwait University, Safat, Kuwait. Papers contained in this volume cover various topics in pure and applied mathematics ranging from an introductory study of quotients and homomorphisms of C-systems, also known as contextual pre-categories, to the most important consequences of the so-called Fokas method. Also covered are multidisciplinary topics such as new structural and spectral matricial results, acousto-electromagnetic tomography method, a recent hybrid imaging technique, some numerical aspects of sonic-boom minimization, PDE eigenvalue problems, von Neumann entropy in graph theory, the relative entropy method for hyperbolic systems, conductances on grids, inverse problems in magnetohydrodynamics, location and size estimation of small rigid bodies using elastic far-fields, and the space-time fractional Schrödinger equation, just to cite a few. Papers contained in this volume cover various topics in pure and applied mathematics ranging from an introductory study of quotients and homomorphisms of C-systems, also known as contextual pre-categories, to the most important consequences of the so-called Fokas method. Also covered are multidisciplinary topics such as new structural and spectral matricial results, acousto-electromagnetic tomography method, a recent hybrid imaging technique, some numerical aspects of sonic-boom minimization, PDE eigenvalue problems, von Neumann entropy in graph theory, the relative entropy method for hyperbolic systems, conductances on grids, inverse problems in magnetohydrodynamics, location and size estimation of small rigid bodies using elastic far-fields, and the space-time fractional Schrödinger equation, just to cite a few. - See more at: http://s350148651-preview.tizrapublisher.com/conm-658/#sthash.74nRhV3y.dpufThis volume contains the proceedings of the Conference on Mathematics and its Applications–2014, held from November 14–17, 2014, at Kuwait University, Safat, Kuwait. - See more at: http://s350148651-preview.tizrapublisher.com/conm-658/#sthash.74nRhV3y.dpuf

Harmonic Analysis and Partial Differential Equations

Author : Anatoly Golberg
Publisher : Springer Nature
ISBN 13 : 3031254244
Total Pages : 319 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Harmonic Analysis and Partial Differential Equations by : Anatoly Golberg

Download or read book Harmonic Analysis and Partial Differential Equations written by Anatoly Golberg and published by Springer Nature. This book was released on 2023-04-26 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of his distinguished career, Vladimir Maz'ya has made a number of groundbreaking contributions to numerous areas of mathematics, including partial differential equations, function theory, and harmonic analysis. The chapters in this volume - compiled on the occasion of his 80th birthday - are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.

Flowing Matter

Author : Federico Toschi
Publisher : Springer Nature
ISBN 13 : 3030233707
Total Pages : 313 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Flowing Matter by : Federico Toschi

Download or read book Flowing Matter written by Federico Toschi and published by Springer Nature. This book was released on 2019-09-25 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, published in the Soft and Biological Matter series, presents an introduction to selected research topics in the broad field of flowing matter, including the dynamics of fluids with a complex internal structure -from nematic fluids to soft glasses- as well as active matter and turbulent phenomena. Flowing matter is a subject at the crossroads between physics, mathematics, chemistry, engineering, biology and earth sciences, and relies on a multidisciplinary approach to describe the emergence of the macroscopic behaviours in a system from the coordinated dynamics of its microscopic constituents. Depending on the microscopic interactions, an assembly of molecules or of mesoscopic particles can flow like a simple Newtonian fluid, deform elastically like a solid or behave in a complex manner. When the internal constituents are active, as for biological entities, one generally observes complex large-scale collective motions. Phenomenology is further complicated by the invariable tendency of fluids to display chaos at the large scales or when stirred strongly enough. This volume presents several research topics that address these phenomena encompassing the traditional micro-, meso-, and macro-scales descriptions, and contributes to our understanding of the fundamentals of flowing matter. This book is the legacy of the COST Action MP1305 “Flowing Matter”.

Gamma-Convergence for Beginners

Author : Andrea Braides
Publisher : Clarendon Press
ISBN 13 : 0191523194
Total Pages : 230 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Gamma-Convergence for Beginners by : Andrea Braides

Download or read book Gamma-Convergence for Beginners written by Andrea Braides and published by Clarendon Press. This book was released on 2002-07-25 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Gamma-convergence is commonly recognized as an ideal and flexible tool for the description of the asymptotic behaviour of variational problems. Its applications range from the mathematical analysis of composites to the theory of phase transitions, from Image Processing to Fracture Mechanics. This text, written by an expert in the field, provides a brief and simple introduction to this subject, based on the treatment of a series of fundamental problems that illustrate the main features and techniques of Gamma-convergence and at the same time provide a stimulating starting point for further studies. The main part is set in a one-dimensional framework that highlights the main issues of Gamma-convergence without the burden of higher-dimensional technicalities. The text deals in sequence with increasingly complex problems, first treating integral functionals, then homogenisation, segmentation problems, phase transitions, free-discontinuity problems and their discrete and continuous approximation, making stimulating connections among those problems and with applications. The final part is devoted to an introduction to higher-dimensional problems, where more technical tools are usually needed, but the main techniques of Gamma-convergence illustrated in the previous section may be applied unchanged. The book and its structure originate from the author's experience in teaching courses on this subject to students at PhD level in all fields of Applied Analysis, and from the interaction with many specialists in Mechanics and Computer Vision, which have helped in making the text addressed also to a non-mathematical audience. The material of the book is almost self-contained, requiring only some basic notion of Measure Theory and Functional Analysis.

From Multiscale Modeling to Meso-Science

Author : Jinghai Li
Publisher : Springer Science & Business Media
ISBN 13 : 3642351891
Total Pages : 497 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis From Multiscale Modeling to Meso-Science by : Jinghai Li

Download or read book From Multiscale Modeling to Meso-Science written by Jinghai Li and published by Springer Science & Business Media. This book was released on 2013-03-22 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiscale modeling is becoming essential for accurate, rapid simulation in science and engineering. This book presents the results of three decades of research on multiscale modeling in process engineering from principles to application, and its generalization for different fields. This book considers the universality of meso-scale phenomena for the first time, and provides insight into the emerging discipline that unifies them, meso-science, as well as new perspectives for virtual process engineering. Multiscale modeling is applied in areas including: multiphase flow and fluid dynamics chemical, biochemical and process engineering mineral processing and metallurgical engineering energy and resources materials science and engineering Jinghai Li is Vice-President of the Chinese Academy of Sciences (CAS), a professor at the Institute of Process Engineering, CAS, and leader of the EMMS (Energy-minimizing multiscale) Group. Wei Ge, Wei Wang, Ning Yang and Junwu Wang are professors at the EMMS Group, part of the Institute of Process Engineering, CAS. Xinhua Liu, Limin Wang, Xianfeng He and Xiaowei Wang are associate professors at the EMMS Group, part of the Institute of Process Engineering, CAS. Mooson Kwauk is an emeritus director of the Institute of Process Engineering, CAS, and is an advisor to the EMMS Group.

Conformal and Potential Analysis in Hele-Shaw Cells

Author : Björn Gustafsson
Publisher : Springer Science & Business Media
ISBN 13 : 3764377046
Total Pages : 235 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Conformal and Potential Analysis in Hele-Shaw Cells by : Björn Gustafsson

Download or read book Conformal and Potential Analysis in Hele-Shaw Cells written by Björn Gustafsson and published by Springer Science & Business Media. This book was released on 2006-08-13 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents recent and new ideas arising from the study of problems of planar fluid dynamics, and which are interesting from the point of view of geometric function theory and potential theory. the book is concerned with geometric problems for Hele-Shaw flows. Additionally, Hele-Shaw flows on parameter spaces are discussed, and connections with string theory are revealed. Assumes a graduate level understanding of real and complex analysis, and fluid mechanics.

Continuum Micromechanics

Author : P. Suquet
Publisher : Springer
ISBN 13 : 3709126622
Total Pages : 352 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Continuum Micromechanics by : P. Suquet

Download or read book Continuum Micromechanics written by P. Suquet and published by Springer. This book was released on 2014-05-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the most recent progress of fundamental nature made in the new developed field of micromechanics: transformation field analysis, variational bounds for nonlinear composites, higher-order gradients in micromechanical damage models, dynamics of composites, pattern based variational bounds.

Aerosol Science

Author : Ian Colbeck
Publisher : John Wiley & Sons
ISBN 13 : 1119977924
Total Pages : 522 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Aerosol Science by : Ian Colbeck

Download or read book Aerosol Science written by Ian Colbeck and published by John Wiley & Sons. This book was released on 2014-02-03 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: AEROSOL SCIENCE TECHNOLOGY AND APPLICATIONS Aerosols influence many areas of our daily life. They are at the core of environmental problems such as global warming, photochemical smog and poor air quality. They can also have diverse effects on human health, where exposure occurs in both outdoor and indoor environments. However, aerosols can have beneficial effects too; the delivery of drugs to the lungs, the delivery of fuels for combustion and the production of nanomaterials all rely on aerosols. Advances in particle measurement technologies have made it possible to take advantage of rapid changes in both particle size and concentration. Likewise, aerosols can now be produced in a controlled fashion. Reviewing many technological applications together with the current scientific status of aerosol modelling and measurements, this book includes: Satellite aerosol remote sensing The effects of aerosols on climate change Air pollution and health Pharmaceutical aerosols and pulmonary drug delivery Bioaerosols and hospital infections Particle emissions from vehicles The safety of emerging nanomaterials Radioactive aerosols: tracers of atmospheric processes With the importance of this topic brought to the public's attention after the eruption of the Icelandic volcano Eyjafjallajökull, this book provides a timely, concise and accessible overview of the many facets of aerosol science.

Human Adaptation in the Ozark and Ouachita Mountains

Author : George Sabo
Publisher :
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Human Adaptation in the Ozark and Ouachita Mountains by : George Sabo

Download or read book Human Adaptation in the Ozark and Ouachita Mountains written by George Sabo and published by . This book was released on 1990 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Science and Hebrew Tradition

Author : Thomas Henry Huxley
Publisher :
ISBN 13 :
Total Pages : 398 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Science and Hebrew Tradition by : Thomas Henry Huxley

Download or read book Science and Hebrew Tradition written by Thomas Henry Huxley and published by . This book was released on 1897 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Basics of Geomatics

Author : Mario A. Gomarasca
Publisher : Springer Science & Business Media
ISBN 13 : 1402090145
Total Pages : 690 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Basics of Geomatics by : Mario A. Gomarasca

Download or read book Basics of Geomatics written by Mario A. Gomarasca and published by Springer Science & Business Media. This book was released on 2009-09-18 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geomatics is a neologism, the use of which is becoming increasingly widespread, even if it is not still universally accepted. It includes several disciplines and te- niques for the study of the Earth’s surface and its environments, and computer science plays a decisive role. A more meaningful and appropriate expression is G- spatial Information or GeoInformation. Geo-spatial Information embeds topography in its more modern forms (measurements with electronic instrumentation, sophisticated techniques of data analysis and network compensation, global satellite positioning techniques, laser scanning, etc.), analytical and digital photogrammetry, satellite and airborne remote sensing, numerical cartography, geographical information systems, decision support systems, WebGIS, etc. These specialized elds are intimately interrelated in terms of both the basic science and the results pursued: rigid separation does not allow us to discover several common aspects and the fundamental importance assumed in a search for solutions in the complex survey context. The objective pursued by Mario A. Gomarasca, one that is only apparently modest, is to publish an integrated text on the surveying theme, containing simple and comprehensible concepts relevant to experts in Geo-spatial Information and/or speci cally in one of the disciplines that compose it. At the same time, the book is rigorous and synthetic, describing with precision the main instruments and methods connected to the multiple techniques available today.

Handbook to Life in the Aztec World

Author : Manuel Aguilar-Moreno
Publisher : Oxford University Press, USA
ISBN 13 : 0195330838
Total Pages : 466 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis Handbook to Life in the Aztec World by : Manuel Aguilar-Moreno

Download or read book Handbook to Life in the Aztec World written by Manuel Aguilar-Moreno and published by Oxford University Press, USA. This book was released on 2007 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes daily life in the Aztec world, including coverage of geography, foods, trades, arts, games, wars, political systems, class structure, religious practices, trading networks, writings, architecture and science.