Shape Variation and Optimization

A Geometrical Analysis

  • Antoine Henrot

    Université de Lorraine, Vandœuvre-lès-Nancy, France
  • Michel Pierre

    ENS Cachan Bretagne, Bruz, France
Shape Variation and Optimization cover

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Frontmatter, ForewordDownload pp. i–vi
ContentsDownload pp. vii–xi
1Introduction and examplespp. 1–23
2Topologies on domains of pp. 25–65
3Continuity with respect to domainspp. 67–143
4Existence of optimal shapespp. 145–187
5Differentiating with respect to domainspp. 189–258
6Geometric properties of the optimumpp. 259–297
7Relaxation and homogenizationpp. 299–340
Bibliographypp. 341–359
General Indexpp. 361–365
Index of Mathematiciansp. 367