Shape Optimization
eBook - ePub

Shape Optimization

Variations of Domains and Applications

Catherine Bandle, Alfred Wagner

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  1. 292 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Shape Optimization

Variations of Domains and Applications

Catherine Bandle, Alfred Wagner

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About This Book

This book investigates how domain dependent quantities from geometry and physics behave when the domain is perturbed. Of particular interest are volume- and perimeter-preserving perturbations. The first and second derivatives with respect to the perturbation are exploited for domain functionals like eigenvalues, energies and geometrical quantities. They provide necessary conditions for optimal domains and are useful when global approaches like symmetrizations fail. The book is exampledriven and illustrates the usefulness of domain variations in various applications.

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Information

Publisher
De Gruyter
Year
2023
ISBN
9783111025810

Table of contents