Shape Variation and Optimization
A Geometrical Analysis
Antoine Henrot
Université de Lorraine, Vandœuvre-lès-Nancy, FranceMichel Pierre
ENS Cachan Bretagne, Bruz, France
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| Frontmatter, ForewordDownload pp. i–vi | |
| ContentsDownload pp. vii–xi | |
| 1 | Introduction and examplespp. 1–23 |
| 2 | Topologies on domains of pp. 25–65 |
| 3 | Continuity with respect to domainspp. 67–143 |
| 4 | Existence of optimal shapespp. 145–187 |
| 5 | Differentiating with respect to domainspp. 189–258 |
| 6 | Geometric properties of the optimumpp. 259–297 |
| 7 | Relaxation and homogenizationpp. 299–340 |
| Bibliographypp. 341–359 | |
| General Indexpp. 361–365 | |
| Index of Mathematiciansp. 367 |