Shape Optimization

Variations of Domains and Applications

Catherine Bandle, Alfred Wagner

$383.95 $307.52

Hardback

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English

De Gruyter
19 June 2023

Differential calculus & equations; Differential & Riemannian geometry; Optimisation

Series: De Gruyter Series in Nonlinear Analysis & 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.

By: Catherine Bandle, Alfred Wagner
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm,
Weight: 606g
ISBN: 9783111025261
ISBN 10: 3111025268
Series: De Gruyter Series in Nonlinear Analysis & Applications
Pages: 292
Publication Date: 19 June 2023
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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