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Boundary Value Problems of Partial Differential Equations

In: Shape Optimization Problems

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  • Hideyuki Azegami

    (Nagoya University)

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.

Suggested Citation

  • Hideyuki Azegami, 2020. "Boundary Value Problems of Partial Differential Equations," Springer Optimization and Its Applications, in: Shape Optimization Problems, chapter 0, pages 223-257, Springer.
    • Handle: RePEc:spr:spochp:978-981-15-7618-8_5
    DOI: 10.1007/978-981-15-7618-8_5
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