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.
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.
Shape Optimization: Variations of Domains and Applications
292
Shape Optimization: Variations of Domains and Applications
292Related collections and offers
Product Details
| ISBN-13: | 9783111025810 |
|---|---|
| Publisher: | De Gruyter |
| Publication date: | 06/19/2023 |
| Series: | De Gruyter Series in Nonlinear Analysis and Applications , #42 |
| Sold by: | Barnes & Noble |
| Format: | eBook |
| Pages: | 292 |
| File size: | 44 MB |
| Note: | This product may take a few minutes to download. |
| Age Range: | 18 Years |