Описание: 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.
Автор: V.V. Jikov; G.A. Yosifian; S.M. Kozlov; O.A. Olein Название: Homogenization of Differential Operators and Integral Functionals ISBN: 3642846610 ISBN-13(EAN): 9783642846618 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A great deal of attention was given to the so called disperse media, which, in the simplest case, are two-phase media formed by the main homogeneous material containing small foreign particles (grains, inclusions).
Автор: Scott Armstrong; Tuomo Kuusi; Jean-Christophe Mour Название: Quantitative Stochastic Homogenization and Large-Scale Regularity ISBN: 3030155447 ISBN-13(EAN): 9783030155445 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The focus of this book is the large-scale statistical behavior of solutions of divergence-form elliptic equations with random coefficients, which is closely related to the long-time asymptotics of reversible diffusions in random media and other basic models of statistical physics. Of particular interest is the quantification of the rate at which solutions converge to those of the limiting, homogenized equation in the regime of large scale separation, and the description of their fluctuations around this limit. This self-contained presentation gives a complete account of the essential ideas and fundamental results of this new theory of quantitative stochastic homogenization, including the latest research on the topic, and is supplemented with many new results. The book serves as an introduction to the subject for advanced graduate students and researchers working in partial differential equations, statistical physics, probability and related fields, as well as a comprehensive reference for experts in homogenization. Being the first text concerned primarily with stochastic (as opposed to periodic) homogenization and which focuses on quantitative results, its perspective and approach are entirely different from other books in the literature.
Автор: Leonid Berlyand; Volodymyr Rybalko Название: Getting Acquainted with Homogenization and Multiscale ISBN: 3030017761 ISBN-13(EAN): 9783030017767 Издательство: Springer Рейтинг: Цена: 5589.00 р. Наличие на складе: Поставка под заказ.
Описание: 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.
Описание: This book, meant for graduate students and researchers, explores the connections between numerical approximation and statistical inference from a game and decision theoretic perspective, and illustrates these interplays by addressing problems related to numerical homogenization, operator adapted wavelets, and fast solvers.
Автор: Hornung U. Название: Homogenization and Porous Media ISBN: 1461273390 ISBN-13(EAN): 9781461273394 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers a systematic, rigorous treatment of upscaling procedures related to physical modeling for porous media on micro-, meso- and macro-scales, including detailed studies of micro-structure systems and computational results for dual-porosity models.
Автор: Axel Malqvist, Daniel Peterseim Название: Numerical Homogenization by Localized Orthogonal Decomposition ISBN: 1611976448 ISBN-13(EAN): 9781611976441 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 6145.00 р. Наличие на складе: Нет в наличии.
Описание: This book presents the first survey of the Localized Orthogonal Decomposition (LOD) method, a pioneering approach for the numerical homogenization of partial differential equations with multiscale data beyond periodicity and scale separation. The authors provide a careful error analysis, including previously unpublished results, and a complete implementation of the method in MATLAB. They also reveal how the LOD method relates to classical homogenization and domain decomposition. Illustrated with numerical experiments that demonstrate the significance of the method, the book is enhanced by a survey of applications including eigenvalue problems and evolution problems.Numerical Homogenization by Localized Orthogonal Decomposition is appropriate for graduate students in applied mathematics, numerical analysis, and scientific computing. Researchers in the field of computational partial differential equations will find this self-contained book of interest, as will applied scientists and engineers interested in multiscale simulation.
Автор: Shen Название: Periodic Homogenization of Elliptic Systems ISBN: 3319912135 ISBN-13(EAN): 9783319912134 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients in a bounded domain.
Автор: Volker Schulz; Diaraf Seck Название: Shape Optimization, Homogenization and Optimal Control ISBN: 331990468X ISBN-13(EAN): 9783319904689 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally. Seeds for collaboration can be found in the first four papers in the field of homogenization. Modelling and optimal control in partial differential equations is the topic of the next six papers, again mixed from Africa and Germany. Finally, new results in the field of shape optimization are discussed in the final international three papers.
This workshop, held at the AIMS Center Senegal, March 13-16, 2017, has been supported by the Deutsche Forschungsgemeinschaft (DFG) and by the African Institute for Mathematical Sciences (AIMS) in Senegal, which is one of six centres of a pan-African network of centres of excellence for postgraduate education, research and outreach in mathematical sciences.
Описание: Homogenization in magnetic-shape-memory polymer composites.- Homogenization of stochastic parabolic equations in varying domains.- Two-Scale Convergence: Obviousness of the Choice of Test Functions? Not Always.- Corrector problem and homogenization of nonlinear elliptic monotone PDE.- Instantaneous optimal control of friction dominated flow in a gas-network.- Multilevel Iterations for the Combined Moving Horizon Estimation and Nonlinear Model Predictive Control for PDE Mod.- Some recent developments in optimal control of multiphase flows.- Localized Model Reduction in PDE Constrained Optimization.- Numerical simulation for the coupled SWE with Long term dynamic of sand dunes.- Coupling the Navier-Stokes equations with a short term dynamic of sand dunes.- Branching Structures in Elastic Shape Optimization.- Shape and Topological Derivatives via One Sided Differentiation of the Minimax of Lagrangian Functionals.- On optimization transfer operators in shape spaces.
Описание: 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.?
Автор: Jerry L. Ericksen; David Kinderlehrer; Robert Kohn Название: Homogenization and Effective Moduli of Materials and Media ISBN: 1461386489 ISBN-13(EAN): 9781461386483 Издательство: Springer Рейтинг: Цена: 16979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This IMA Volume in Mathematics and its Applications Homogenization and Effective Moduli of Materials and Media represents the proceedings of a workshop which was an integral part of the 19R4-R5 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS.
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