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: Mesh Dependence in PDE-Constrained Optimisation
    sub title: An Application in Tidal Turbine Array Layouts
  name:
    name part: Schwedes, Tobias.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Ham, David A.
    role:
      role term: author.
  name:
    name part: Funke, Simon W.
    role:
      role term: author.
  name:
    name part: Piggott, Matthew D.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VIII, 110 p. 24 illus., 21 illus. in color. online resource.
  abstract: This book provides an introduction to PDE-constrained optimisation using finite elements and the adjoint approach. The practical impact of the mathematical insights presented here are demonstrated using the realistic scenario of the optimal placement of marine power turbines, thereby illustrating the real-world relevance of best-practice Hilbert space aware approaches to PDE-constrained optimisation problems. Many optimisation problems that arise in a real-world context are constrained by partial differential equations (PDEs). That is, the system whose configuration is to be optimised follows physical laws given by PDEs. This book describes general Hilbert space formulations of optimisation algorithms, thereby facilitating optimisations whose controls are functions of space. It demonstrates the importance of methods that respect the Hilbert space structure of the problem by analysing the mathematical drawbacks of failing to do so. The approaches considered are illustrated using the optimisation problem arising in tidal array layouts mentioned above. This book will be useful to readers from engineering, computer science, mathematics and physics backgrounds interested in PDE-constrained optimisation and their real-world applications.
  table of contents: 1. Introduction -- 2. Problem formulation -- 3. Shallow water equations -- 4. Aspects of the numerical solution -- 5. Optimisation methods -- 6. Mesh independent optimisation in 1-D -- 7. Mesh-dependence for Poisson constrained problem -- Index.
  note: by Tobias Schwedes, David A. Ham, Simon W. Funke, Matthew D. Piggott.
  subject:
    topic: Mathematics
  subject:
    topic: Environmental sciences
  subject:
    topic: Partial differential equations
  subject:
    topic: Computer mathematics
  subject:
    topic: Calculus of variations
  subject:
    topic: Mathematical optimization
  subject:
    topic: Mathematics
  subject:
    topic: Mathematics of Planet Earth
  subject:
    topic: Environmental Science and Engineering
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Continuous Optimization
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Computational Science and Engineering
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Mathematics of Planet Earth
  identifier: 9783319594835
  identifier: http://dx.doi.org/10.1007/978-3-319-59483-5
  record info:
    record creation date: 170707
    record change date: 20170707142202.0
    record identifier: 978-3-319-59483-5