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: Numerical Approximation of the Magnetoquasistatic Model with Uncertainties
    sub title: Applications in Magnet Design
  name:
    name part: Römer, Ulrich.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2016
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXII, 114 p. 20 illus., 8 illus. in color. online resource.
  abstract: This book presents a comprehensive mathematical approach for solving stochastic magnetic field problems. It discusses variability in material properties and geometry, with an emphasis on the preservation of structural physical and mathematical properties. It especially addresses uncertainties in the computer simulation of magnetic fields originating from the manufacturing process. Uncertainties are quantified by approximating a stochastic reformulation of the governing partial differential equation, demonstrating how statistics of physical quantities of interest, such as Fourier harmonics in accelerator magnets, can be used to achieve robust designs. The book covers a number of key methods and results such as: a stochastic model of the geometry and material properties of magnetic devices based on measurement data; a detailed description of numerical algorithms based on sensitivities or on a higher-order collocation; an analysis of convergence and efficiency; and the application of the developed model and algorithms to uncertainty quantification in the complex magnet systems used in particle accelerators. .
  table of contents: Introduction -- Magnetoquasistatic Approximation of Maxwell's Equations, Uncertainty Quantification Principles -- Magnetoquasistatic Model and its Numerical Approximation -- Parametric Model, Continuity and First Order Sensitivity Analysis -- Uncertainty Quantification -- Uncertainty Quantification for Magnets -- Conclusion and Outlook.
  note: by Ulrich Römer.
  subject:
    topic: Engineering
  subject:
    topic: Particle acceleration
  subject:
    topic: Structural mechanics
  subject:
    topic: Engineering design
  subject:
    topic: Microwaves
  subject:
    topic: Optical engineering
  subject:
    topic: Engineering
  subject:
    topic: Microwaves, RF and Optical Engineering
  subject:
    topic: Structural Mechanics
  subject:
    topic: Engineering Design
  subject:
    topic: Particle Acceleration and Detection, Beam Physics
  classification: TK7876-7876.42
  classification: 621.3
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Theses, Recognizing Outstanding Ph.D. Research
  identifier: 9783319412948
  identifier: http://dx.doi.org/10.1007/978-3-319-41294-8
  record info:
    record creation date: 160727
    record change date: 20160727124416.0
    record identifier: 978-3-319-41294-8