Numerical Analysis of Multiscale Problems, Ivan G. Graham; Thomas Y. Hou; Omar Lakkis; Robert
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.
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: Bj?rn Engquist; Olof Runborg; Yen-Hsi R. Tsai Название: Numerical Analysis of Multiscale Computations ISBN: 3642269702 ISBN-13(EAN): 9783642269707 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It covers fundamental mathematical theory, numerical algorithms as well as practical computational advice for analysing single and multiphysics models containing a variety of scales in time and space.
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.
Автор: Nenad Antonic; C.J. van Duijn; Willi J?ger; Andro Название: Multiscale Problems in Science and Technology ISBN: 3540435840 ISBN-13(EAN): 9783540435846 Издательство: Springer Рейтинг: Цена: 19591.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Contains the proceedings of the conference "Multiscale Problems in Science and Technology" held in Croatia in 2000. The objective of the conference was to bring together mathematicians working on multiscale techniques (homogenization, singular pertubation) and specialists from the applied sciences.
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: Tearing and interconnecting methods, such as FETI, FETI-DP, BETI, etc., are among the most successful domain decomposition solvers for partial differential equations.
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.
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