Shape Optimization: Variations of Domains and Applications - Rilegato

Bandle, Catherine; Wagner, Alfred

Rilegato

ISBN 10: 3111025268 ISBN 13: 9783111025261

Casa editrice: De Gruyter, 2023

Riassunto

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.

Su questo libro

Informazioni sull'autore

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

Dalla quarta di copertina

This book investigates how domain dependent quantities from geometry and physics behave when the domain is slightly perturbed. Of particular interest are volume or 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 example-driven and intends to illustrate the usefulness of domain variations in various applications.

Dettagli dell'edizione

• Editore: De Gruyter
• Data di pubblicazione: 2023
• Lingua: Inglese
• ISBN 10: 3111025268
• ISBN 13: 9783111025261
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 278
• Contatto del produttore: Walter de Gruyter GmbH; info@degruyter.com; ; Genthiner Straße 13; Berlin; Berlin; 10785; Germania