书目名称 | Finite Element Method for Hemivariational Inequalities | 副标题 | Theory, Methods and | 编辑 | Jaroslav Haslinger,Markku Miettinen,Panagiotis D. | 视频video | | 丛书名称 | Nonconvex Optimization and Its Applications | 图书封面 |  | 描述 | Hemivariational inequalities represent an important class ofproblems in nonsmooth and nonconvex mechanics. By means of them,problems with nonmonotone, possibly multivalued, constitutive laws canbe formulated, mathematically analyzed and finally numerically solved.The present book gives a rigorous analysis of finite elementapproximation for a class of hemivariational inequalities of ellipticand parabolic type. Finite element models are described and theirconvergence properties are established. Discretized models arenumerically treated as nonconvex and nonsmooth optimization problems.The book includes a comprehensive description of typical representantsof nonsmooth optimization methods. Basic knowledge of finite elementmathematics, functional and nonsmooth analysis is needed. The book isself-contained, and all necessary results from these disciplines aresummarized in the introductory chapter. ..Audience.: Engineers and applied mathematicians at universitiesand working in industry. Also graduate-level students in advancednonlinear computational mechanics, mathematics of finite elements andapproximation theory. Chapter 1 includes the necessary prerequisitematerials. | 出版日期 | Book 1999 | 关键词 | Finite; computational mechanics; finite element method; function; mathematics; mechanics; optimization | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4757-5233-5 | isbn_softcover | 978-1-4419-4815-1 | isbn_ebook | 978-1-4757-5233-5Series ISSN 1571-568X | issn_series | 1571-568X | copyright | Springer Science+Business Media Dordrecht 1999 |
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