| 书目名称 | Homogenization of Reticulated Structures |
| 编辑 | Doina Cioranescu,Jeannine Saint Jean Paulin |
| 视频video | |
| 概述 | Presents recent developments in reticulated/lattice-type structures Analyzing reticulated structures, which are easily visualized, makes it easy to learn about homogenization techniques The topic is t |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | This book presents recent works on lattice type structure. Some of the results discussed here have already been published in mathematical journals, but we give here a comprehensive and unified presentation. We have also added some new topics such as those contained in Chapter 4 treating elastic problems for gridworks. The aim of this book is to give continuous simple models for thin reticulated structures (which may have a very complex pattern). This means that we have to treat partial differential equations depending on several small parameters and give the asymptotic behavior with respect to these parameters (which can be the period, the thickness of the material, or the thickness of a plate or of a beam). This book is written from the point of view of the applied mathematician, atten tion being paid to the mathematical rigor, convergence results, and error estimates. It consists of six chapters and more than a hundred figures. The basic ideas are presented in the first two chapters, while the four last ones study some particular models, using the ideas of Chapters 1 and 2. Chapter 1 is an introduction to homogenization methods in perforated domains. Here the parameter to be tak |
| 出版日期 | Book 1999 |
| 关键词 | Eigenvalue; Extension; Lattice-Type Structures; Reticulated Structures; behavior; convergence; differentia |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-2158-6 |
| isbn_softcover | 978-1-4612-7437-7 |
| isbn_ebook | 978-1-4612-2158-6Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer-Verlag New York 1999 |
发表于 2025-3-21 16:29:05
