Description

Book Synopsis

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.

Shape Optimization: Variations of Domains and Applications

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    Order before 4pm today for delivery by Wed 17 Jun 2026.

    A Hardback by Catherine Bandle, Alfred Wagner

    15 in stock


      View other formats and editions of Shape Optimization: Variations of Domains and Applications by Catherine Bandle

      Publisher: De Gruyter
      Publication Date: 19/06/2023
      ISBN13: 9783111025261, 978-3111025261
      ISBN10:

      Description

      Book Synopsis

      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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