Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Shape Optimization: Variations of Domains and Applications

Shape Optimization: Variations of Domains and Applications

Bandle, Catherine
Wagner, Alfred

Hardcover

Series: de Gruyter Nonlinear Analysis and Applications, Book 42

General MathematicsGeometry

ISBN10: 3111025268
ISBN13: 9783111025261
Publisher: de Gruyter
Published: Jun 19 2023
Pages: 292
Weight: 1.46
Height: 0.69 Width: 6.69 Depth: 9.61
Language: English

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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