A01=Alfred Wagner
A01=Catherine Bandle
Author_Alfred Wagner
Author_Catherine Bandle
Category=PBKJ
Category=PBMP
Category=PBU
Domain Variation
Domanenvariation
Eigenvalues
Eigenwerte
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Formoptimierung
Kugelflachenfunktionen
Pertubation
Shape Optimization
Spherical Harmonics
Product details
- ISBN 9783111025261
- Weight: 606g
- Dimensions: 170 x 240mm
- Publication Date: 19 Jun 2023
- Publisher: De Gruyter
- Publication City/Country: DE
- Product Form: Hardback
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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.
Catherine Bandle, Universität Basel, Switzerland; Alfred Wagner, RWTH Aachen University, Germany.
