<電子ブック>
Finite Element Method for Hemivariational Inequalities : Theory, Methods and Applications / by J. Haslinger, M. Miettinen, Panagiotis D. Panagiotopoulos
(Nonconvex Optimization and Its Applications ; 35)
版 | 1st ed. 1999. |
---|---|
出版者 | New York, NY : Springer US : Imprint: Springer |
出版年 | 1999 |
本文言語 | 英語 |
大きさ | XXV, 260 p : online resource |
著者標目 | *Haslinger, J author Miettinen, M author Panagiotopoulos, Panagiotis D author SpringerLink (Online service) |
件 名 | LCSH:Mathematics LCSH:Mechanics LCSH:Engineering mathematics LCSH:Engineering -- Data processing 全ての件名で検索 FREE:Mathematics FREE:Classical Mechanics FREE:Mathematical and Computational Engineering Applications |
一般注記 | I Introductory Topics -- 1. Mathematical Preliminaries -- 2. Nonsmooth Mechanics -- II Finite Element Approximation of Hemivariational Inequalities -- 3. Approximation of Elliptic Hemivariational Inequalities -- 4. Time Dependent Case -- III Nonsmooth Optimization Methods -- 5. Nonsmooth Optimization Methods -- IV Numerical Examples -- 6. Numerical Examples Hemivariational inequalities represent an important class of problems in nonsmooth and nonconvex mechanics. By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated, mathematically analyzed and finally numerically solved. The present book gives a rigorous analysis of finite element approximation for a class of hemivariational inequalities of elliptic and parabolic type. Finite element models are described and their convergence properties are established. Discretized models are numerically treated as nonconvex and nonsmooth optimization problems. The book includes a comprehensive description of typical representants of nonsmooth optimization methods. Basic knowledge of finite element mathematics, functional and nonsmooth analysis is needed. The book is self-contained, and all necessary results from these disciplines are summarized in the introductory chapter. Audience: Engineers and applied mathematicians at universities and working in industry. Also graduate-level students in advanced nonlinear computational mechanics, mathematics of finite elements and approximation theory. Chapter 1 includes the necessary prerequisite materials HTTP:URL=https://doi.org/10.1007/978-1-4757-5233-5 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9781475752335 |
|
電子リソース |
|
EB00235401 |
類似資料
この資料の利用統計
このページへのアクセス回数:10回
※2017年9月4日以降