Catherine Bandle & Alfred Wagner 
Shape Optimization [EPUB ebook] 
Variations of Domains and Applications

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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.

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About the author

Catherine Bandle, Universität Basel, Switzerland; Alfred Wagner, RWTH Aachen University, Germany.

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Language English ● Format EPUB ● Pages 292 ● ISBN 9783111025810 ● File size 40.7 MB ● Publisher De Gruyter ● City Berlin/Boston ● Published 2023 ● Edition 1 ● Downloadable 24 months ● Currency EUR ● ID 8998030 ● Copy protection Adobe DRM
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