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Shape Optimization
Variations of Domains and Applications
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Catherine Bandle
Language:
English
Published/Copyright:
2023
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.
- Comprehensive derivation of the variation formulas applying to functionals from geometry and physics.
- Presents the main tools from calculus and geometry to calculate formulas.
- Develops strategies for determination of local maxima and minima
Author / Editor information
Catherine Bandle, Universität Basel, Switzerland; Alfred Wagner, RWTH Aachen University, Germany.
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 19, 2023
eBook ISBN:
9783111025438
Hardcover published on:
June 19, 2023
Hardcover ISBN:
9783111025261
Pages and Images/Illustrations in book
Front matter:
12
Main content:
280
Illustrations:
27
Keywords for this book
Shape Optimization; Domain Variation; Pertubation; Spherical Harmonics; Eigenvalues
Audience(s) for this book
Institutional Libraries, graduate students and researchers with a background in classical analysis.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
