Shape Optimization: Variations of Domains and Applications
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.
1143200330
Shape Optimization: Variations of Domains and Applications
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.
185.99
In Stock
5
1
Shape Optimization: Variations of Domains and Applications
292
Shape Optimization: Variations of Domains and Applications
292
185.99
In Stock
Product Details
| ISBN-13: | 9783111025261 |
|---|---|
| Publisher: | De Gruyter |
| Publication date: | 06/19/2023 |
| Series: | De Gruyter Series in Nonlinear Analysis and Applications , #42 |
| Pages: | 292 |
| Product dimensions: | 6.69(w) x 9.45(h) x (d) |
| Age Range: | 18 Years |
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