Abstract Optimum Design Problem

Hideyuki Azegami ()
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Hideyuki Azegami: Nagoya University

Chapter Chapter 7 in Shape Optimization Problems, 2020, pp 331-357 from Springer

Abstract: Abstract We have seen in Chaps. 5 and 6 how boundary problems of partial differential equations are constructed and how they are solved. If we compare them to the optimum design problems looked at in Chap. 1 , 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 abstract problem common to both problems, and explore the ways to solve them.

Date: 2020
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DOI: 10.1007/978-981-15-7618-8_7

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