Titlebook: An Introduction to the Topological Derivative Method; Antonio André Novotny,Jan Sokołowski Book 2020 The Author(s), under exclusive licens

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Antonio André Novotny,Jan SokołowskiIntroduces the concept of topological derivative in a simple and pedagogical manner using a direct approach based on calculus of variations combined with compound asymptotic analysis.Offers numerical

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SpringerBriefs in Mathematicshttp://image.papertrans.cn/a/image/155608.jpg

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Singular Domain Perturbation,main perturbations, is formally developed. In particular, we consider singular perturbations produced by the nucleation of small circular holes endowed with homogeneous Neumann, Dirichlet, or Robin boundary conditions.

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Book 2020compound asymptotic analysis. This new concept in shape optimization has applications in many different fields such as topology optimization, inverse problems, imaging processing, multi-scale material design and mechanical modeling including damage and fracture evolution phenomena. In particular, th

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