Shape Optimization
Variations of Domains and Applications
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Beschreibung
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.
Autor*in
Catherine Bandle
Themen in »Shape Optimization«
Formoptimierung Domänenvariation Kugelflächenfunktionen Eigenwerte Shape Optimization Domain Variation Pertubation Spherical Harmonics Eigenvalues