Some first and second order algorithmic approaches for the solution of PDE-constrained optimization problems are reviewed. An optimal control problem for the stationary Navier-Stokes system with pointwise control constraints serves as an illustrative example. Some issues in treating inequality const
PDE-constrained optimization for advanced materials
✍ Scribed by Günter Leugering; Michael Stingl
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 354 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0936-7195
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✦ Synopsis
Abstract
In these notes we consider PDE‐constrained optimization in the context of advanced materials. We give examples for optimization and control in the coefficients, free material optimization, topology optimization, shape optimization in elastic and piezo‐electric materials. We explain some approaches to metamaterials, in particular for auxetic materials (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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