Multiscale Potential Theory, Willi Freeden; Volker Michel
Автор: Pavliotis Название: Multiscale Methods ISBN: 0387738282 ISBN-13(EAN): 9780387738284 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book is meant to be an introduction, aimed primarily towards graduate students. Part I of the book (theoretical foundations) and Part III of the book (proving theorems concerning simplified versions of the models that are studied in Part II) are necessarily terse and present the wide range of applications of the ideas, and illustrate their unity. The subject matter in these set of notes has, for the most part, been known for several decades. However, the particular presentation of the material here is particularly suited to the pedagogical goal of communicating the subject area to the wide range of mathematicians, scientists and engineers who are currently engaged in the use of these tools to tackle the enormous range of applications that require them.Extensions and generalizations of the results presented in these notes, as well as references to the literature, are given in the Discussion and Bibliography section, at the end of each chapter. With the exception of Chapter 1, all chapters are supplemented with exercises.
Автор: Emiliano Cristiani; Benedetto Piccoli; Andrea Tosi Название: Multiscale Modeling of Pedestrian Dynamics ISBN: 331936121X ISBN-13(EAN): 9783319361215 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents mathematical models and numerical simulations of crowd dynamics. The modeling approach promoted in this book pursues actively this intuition and profits from it for designing general mathematical structures susceptible of application also in fields different from the inspiring original one.
Автор: Weinberger Название: Multiscale Materials Modeling for Nanomechanics ISBN: 3319334786 ISBN-13(EAN): 9783319334783 Издательство: Springer Рейтинг: Цена: 17468.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a unique combination of chapters that togetherprovide a practical introduction to multiscale modeling applied to nanoscalematerials mechanics. The goal of this book is to present a balancedtreatment of both the theory of the methodology, as well as some practicalaspects of conducting the simulations and models. The first half of thebook covers some fundamental modeling and simulation techniques ranging from ab-inito methods to the continuum scale.Included in this set of methods are several different concurrent multiscalemethods for bridging time and length scales applicable to mechanics at the nanoscaleregime. The second half of the book presents a range of casestudies from a varied selection of research groups focusing either on a the applicationof multiscale modeling to a specific nanomaterial, or novel analysis techniquesaimed at exploring nanomechanics. Readers are also directed tohelpful sites and other resources throughout the book where the simulationcodes and methodologies discussed herein can be accessed. Emphasis on thepracticality of the detailed techniques is especially felt in the latter halfof the book, which is dedicated to specific examples to studynanomechanics and multiscale materials behavior. An instructive avenue forlearning how to effectively apply these simulation tools to solve nanomechanicsproblems is to study previous endeavors. Therefore, each chapter iswritten by a unique team of experts who have used multiscale materials modelingto solve a practical nanomechanics problem. These chapters provide an extensivepicture of the multiscale materials landscape from problem statement throughthe final results and outlook, providing readers with a roadmap forincorporating these techniques into their own research.
Part I Introduction: 1 The COMSON Project: Michael Gьnther and Uwe Feldmann.- Part II Partial Differential Algebraic Equations: 2 PDAE Modeling and Discretization: Giuseppe Alм, Massimiliano Culpo, Roland Pulch, Vittorio Romano and Sebastian Schцps.- 3 Simulation of Coupled PDAEs - Dynamic Iteration and Multirate Simulation: Giuseppe Alм, Andreas Bartel, Michael Gьnther, Vittorio Romano and Sebastian Schцps.- Part III Model Order Reduction: 4 Model Order Reduction - Methods, Concepts and Properties: Athanasios C. Antoulas, Roxana Ionutiu, Nelson Martins, E. Jan W. ter Maten, Kasra Mohaghegh, Roland Pulch, Joost Rommes, Maryam Saadvandi and Michael Striebel.- 5 Parameterized Model Order Reduction: Gabriela Ciuprina, Jorge Fernбndez Villena, Daniel Ioan, Zoran Ilievski, Sebastian Kula, E. Jan W. ter Maten, Kasra Mohaghegh, Roland Pulch, Wil H.A. Schilders, L. Miguel Silveira, Alexandra, Stefбnescu and Michael Striebel.- 6 Advanced topics in Model Order Reduction: Davit Harutyunyan, Roxana Ionutiu, E. Jan W. ter Maten, Joost Rommes, Wil H.A. Schilders and Michael Striebel.- Part IV Optimization: 7 Optimization Methods and Applications to microelectronics CAD: Salvatore Rinaudo, Valeria Cinnera Martino, Franco Fiorante, Giovanni Stracquadanio and Giuseppe Nicosia.- Part V COMSON Methodology: 8 COMSON Demonstrator Platform: Georg Denk, Tamara Bechtold, Massimiliano Culpo, Carlo de Falco, and Alexander Rusakov.- 9 eLearning in Industrial Mathematics with applications to Nanoelectronics: Giuseppe Alм, Eleonora Bilotta, Lorella Gabriele, Pietro Pantano, Josй Sepъlveda, Rocco Servidio, and Alexander Vasenev.- Index.
Автор: Ivan G. Graham; Thomas Y. Hou; Omar Lakkis; Robert Название: Numerical Analysis of Multiscale Problems ISBN: 3642431240 ISBN-13(EAN): 9783642431241 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Articles cover the analysis of forward and inverse PDE problems in heterogeneous media, high-frequency wave propagation, atomistic-continuum modeling and high-dimensional problems arising in modeling uncertainty.
Автор: Juergen Geiser Название: Multicomponent and Multiscale Systems ISBN: 3319151169 ISBN-13(EAN): 9783319151168 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Multicomponent and Multiscale Systems: Theory, Methods and Applications in Engineering also considers the question of why iterative methods can be powerful and more appropriate for well-balanced multiscale and multicomponent coupled nonlinear problems.
Автор: Juergen Geiser Название: Multicomponent and Multiscale Systems ISBN: 3319358286 ISBN-13(EAN): 9783319358284 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Multicomponent and Multiscale Systems: Theory, Methods and Applications in Engineering also considers the question of why iterative methods can be powerful and more appropriate for well-balanced multiscale and multicomponent coupled nonlinear problems.
Автор: Ronald DeVore; Angela Kunoth Название: Multiscale, Nonlinear and Adaptive Approximation ISBN: 3642424570 ISBN-13(EAN): 9783642424571 Издательство: Springer Рейтинг: Цена: 33401.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduction: Wolfgang Dahmen's mathematical work.- The way things were in multivariate splines: A personal view.- On the efficient computation of high-dimensional integrals and the approximation by exponential sums.- Adaptive and anisotropic piecewise polynomial approximation.- Anisotropic function spaces with applications.- Nonlinear approximation and its applications.- Univariate subdivision and multi-scale transforms: The nonlinear case.- Rapid solution of boundary integral equations by wavelet Galerkin schemes.- Learning out of leaders.- Optimized wavelet preconditioning.- Multiresolution schemes for conservation laws.- Theory of adaptive finite element methods: An introduction.- Adaptive wavelet methods for solving operator equations: An overview.- Optimal multilevel methods for (grad), (curl), and (div) systems on graded and unstructured grids.
Автор: Alexander N. Gorban; Nikolas Kazantzis; I. G. Kevr Название: Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena ISBN: 364207149X ISBN-13(EAN): 9783642071492 Издательство: Springer Рейтинг: Цена: 25149.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Model reduction and coarse-graining are important in many areas of science and engineering. How does a system with many degrees of freedom become one with fewer? How can a reversible micro-description be adapted to the dissipative macroscopic model? These crucial questions, as well as many other related problems, are discussed in this book. All contributions are by experts whose specialities span a wide range of fields within science and engineering.
Автор: Xia Liang Название: Multiscale Structural Topology Optimization ISBN: 1785481002 ISBN-13(EAN): 9781785481000 Издательство: Elsevier Science Рейтинг: Цена: 11620.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Multiscale Structural Topology Optimization discusses the development of a multiscale design framework for topology optimization of multiscale nonlinear structures. With the intention to alleviate the heavy computational burden of the design framework, the authors present a POD-based adaptive surrogate model for the RVE solutions at the microscopic scale and make a step further towards the design of multiscale elastoviscoplastic structures. . Various optimization methods for structural size, shape, and topology designs have been developed and widely employed in engineering applications. Topology optimization has been recognized as one of the most effective tools for least weight and performance design, especially in aeronautics and aerospace engineering. . This book focuses on the simultaneous design of both macroscopic structure and microscopic materials. In this model, the material microstructures are optimized in response to the macroscopic solution, which results in the nonlinearity of the equilibrium problem of the interface of the two scales. The authors include a reduce database model from a set of numerical experiments in the space of effective strain.
Описание: The investigation of multiscale problems in multibody system contacts is an interesting and timely topic which has been the subject of intensive research. This proceedings volume summarizes contributions of many authors active in the field and gives insight in very different areas of this fascinating research.
Описание: This book presents the latest state of simulation techniques to model plasticity and fracture in crystalline materials on the nano- and microscale. It covers discrete dislocation mechanics and the neighboring fields molecular dynamics and crystal plasticity.
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