Boundary Value Problems of Partial Differential Equations

Hideyuki Azegami ()
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Hideyuki Azegami: Nagoya University

Chapter Chapter 5 in Shape Optimization Problems, 2020, pp 223-257 from Springer

Abstract: Abstract As seen in Chap. 1 , optimal design problems are optimization problems whose state equations are considered as equality constraints. In Chap. 1 , we have 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 and Stokes flow field, are included in the equality constraints as state equations.

Date: 2020
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DOI: 10.1007/978-981-15-7618-8_5

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