Shape Optimization

Variations of Domains and Applications
1. Auflage 2023
ISBN: 978-3-11-102526-1
Verlag: De Gruyter

Buch, Englisch, Band 42, 280 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 606 g

Reihe: De Gruyter Series in Nonlinear Analysis and 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.

Zielgruppe

Institutional Libraries, graduate students and researchers with a

Autoren/Hrsg.

Bandle, Catherine

Wagner, Alfred

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Über Autor(innen)

, Universität Basel, Switzerland; , RWTH Aachen University, Germany.