Shape Optimization: Variations of Domains and Applications
Jun 2023 · De Gruyter Series in Nonlinear Analysis and Applications Book 42 · Walter de Gruyter GmbH & Co KG
Ebook
292
Pages
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About this ebook
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.
About the author
Catherine Bandle, Universität Basel, Switzerland; Alfred Wagner, RWTH Aachen University, Germany.
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