Titlebook: Shape Optimization Problems; Hideyuki Azegami Book 2020 Springer Nature Singapore Pte Ltd. 2020 Non-parametric Shape Optimization Problem.

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Boundary Value Problems of Partial Differential Equations,e considered design variables and state variables as elements of a finite-dimensional vector space. However, in this book, our main interest focuses on the shape optimization problem of continuum. In this case, boundary value problems of partial differential equations, such as linear elastic bodies

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Fundamentals of Numerical Analysis,ould be guaranteed using solutions of the weak form. These will be referred to as the exact solutions. Exact solutions can be found analytically if the shape of the domain is somewhat simple such as a rectangle or an ellipse. However, difficulties arise for domains whose shape may have arbitrarily m

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Abstract Optimum Design Problem,the optimum design problems looked at in Chap. ., they correspond to state determination problems. From this chapter, we finally start thinking about optimum design problems targeting the shape or topology of a domain in which the boundary value problem is defined. In this chapter, we construct an a

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Shape Optimization Problems of Domain Variation Type,s chapter, we shall look at the type of shape optimization problems in which the boundary of a continuum varies. The key theory of numerical solution shown in this chapter is published in the paper (Azegami, Trans. Jpn. Soc. Industrial Appl. Math. .(2), 83–138 (2014)). In this book, we shall look at

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