rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Variational Methods in Shape Optimization Problems
  name:
    name part: Bucur, Dorin.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Buttazzo, Giuseppe.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2005
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VIII, 216 p. online resource.
  abstract: The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems. Key topics and features: * Presents foundational introduction to shape optimization theory * Studies certain classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, and optimization problems over classes of convex domains * Treats optimal control problems under a general scheme, giving a topological framework, a survey of "gamma"-convergence, and problems governed by ODE * Examines shape optimization problems with Dirichlet and Neumann conditions on the free boundary, along with the existence of classical solutions * Studies optimization problems for obstacles and eigenvalues of elliptic operators * Poses several open problems for further research * Substantial bibliography and index Driven by good examples and illustrations and requiring only a standard knowledge in the calculus of variations, differential equations, and functional analysis, the book can serve as a text for a graduate course in computational methods of optimal design and optimization, as well as an excellent reference for applied mathematicians addressing functional shape optimization problems.
  table of contents: to Shape Optimization Theory and Some Classical Problems -- Optimization Problems over Classes of Convex Domains -- Optimal Control Problems: A General Scheme -- Shape Optimization Problems with Dirichlet Condition on the Free Boundary -- Existence of Classical Solutions -- Optimization Problems for Functions of Eigenvalues -- Shape Optimization Problems with Neumann Condition on the Free Boundary.
  note: by Dorin Bucur, Giuseppe Buttazzo.
  subject:
    topic: Mathematics
  subject:
    topic: Difference equations
  subject:
    topic: Functional equations
  subject:
    topic: Functional analysis
  subject:
    topic: Partial differential equations
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematical optimization
  subject:
    topic: Calculus of variations
  subject:
    topic: Mathematics
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Optimization
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Functional Analysis
  subject:
    topic: Difference and Functional Equations
  subject:
    topic: Applications of Mathematics
  classification: QA315-316
  classification: QA402.3
  classification: QA402.5-QA402.6
  classification: 515.64
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Progress in Nonlinear Differential Equations and Their Applications ; 65
  identifier: 9780817644031
  identifier: http://dx.doi.org/10.1007/b137163
  record info:
    record creation date: 100301
    record change date: 20151204160219.0
    record identifier: 978-0-8176-4403-1