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Titlebook: New Trends in Shape Optimization; Aldo Pratelli,Günter Leugering Book 2015 Springer International Publishing Switzerland 2015 Constrained

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書目名稱New Trends in Shape Optimization
編輯Aldo Pratelli,Günter Leugering
視頻videohttp://file.papertrans.cn/667/666020/666020.mp4
概述Plenty of modern problems, also including many open ones.State-of-the-art description of research a shape optimization.Clearly written, easily accessible contributions.Includes supplementary material:
叢書名稱International Series of Numerical Mathematics
圖書封面Titlebook: New Trends in Shape Optimization;  Aldo Pratelli,Günter Leugering Book 2015 Springer International Publishing Switzerland 2015 Constrained
描述.This volume reflects “New Trends in Shape Optimization” and is based on a workshop of the same name organized at the Friedrich-Alexander University Erlangen-Nürnberg in September 2013. During the workshop senior mathematicians and young scientists alike presented their latest findings. The format of the meeting allowed fruitful discussions on challenging open problems, and triggered a number of new and spontaneous collaborations. As such, the idea was born to produce this book, each chapter of which was written by a workshop participant, often with a collaborator. The content of the individual chapters ranges from survey papers to original articles; some focus on the topics discussed at the Workshop, while others involve arguments outside its scope but which are no less relevant for the field today. As such, the book offers readers a balanced introduction to the emerging field of shape optimization..
出版日期Book 2015
關(guān)鍵詞Constrained problems; Dirichlet Eigenvalues; Nonlinear PDEs; Optimal shapes; elliptic equations and syst
版次1
doihttps://doi.org/10.1007/978-3-319-17563-8
isbn_softcover978-3-319-79236-1
isbn_ebook978-3-319-17563-8Series ISSN 0373-3149 Series E-ISSN 2296-6072
issn_series 0373-3149
copyrightSpringer International Publishing Switzerland 2015
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An Overview on the Cheeger Problem,ct.?. for the definition of the perimeter functional). Then we define the . . as .. Any set . such that . is called a . of .. We shall generically refer to the ., as far as the computation or estimation of ., or the characterization of Cheeger sets of ., are concerned. As we will see later on, the C
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Shape- and Topology Optimization for Passive Control of Crack Propagation,acks and inclusions are presented. The results obtained can be used to determine the location and the shape of inclusions which influence in a desirable way the energy release at the crack tip. In contrast to the linear theory, where in principle, crack lips may mutually penetrate, here we employ no
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Approximate Shape Gradients for Interface Problems,ulations rely on the solution of two IPs, and their equivalence breaks down when these IPs are solved approximatively. We establish which expression for the shape gradient offers better accuracy for approximations by means of finite elements. Great effort is devoted to provide numerical evidence of
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