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: BEM-based Finite Element Approaches on Polytopal Meshes
  name:
    name part: Weißer, Steffen.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVII, 246 p. 69 illus., 23 illus. in color. online resource.
  abstract: This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes, which it subsequently analyzes and applies in various scenarios. The BEM-based finite element approaches employs implicitly defined trial functions, which are treated locally by means of boundary integral equations. A detailed construction of high-order approximation spaces is discussed and applied to uniform, adaptive and anisotropic polytopal meshes. The main benefits of these general discretizations are the flexible handling they offer for meshes, and their natural incorporation of hanging nodes. This can especially be seen in adaptive finite element strategies and when anisotropic meshes are used. Moreover, this approach allows for problem-adapted approximation spaces as presented for convection-dominated diffusion equations. All theoretical results and considerations discussed in the book are verified and illustrated by several numerical examples and experiments. Given its scope, the book will be of interest to mathematicians in the field of boundary value problems, engineers with a (mathematical) background in finite element methods, and advanced graduate students. .
  table of contents: 1. Introduction -- 2. Finite element method on polytopal meshes -- 3. Interpolation of non-smooth functions and anisotropic polytopal meshes -- 4. Boundary integral equations and their approximations -- 5. Adaptive BEM-based finite element method -- 6. Developments of mixed and problem-adapted BEM-based FEM.
  note: by Steffen Weißer.
  subject:
    topic: Computer mathematics
  subject:
    topic: Approximation theory
  subject:
    topic: Numerical analysis
  subject:
    topic: Computational Science and Engineering
  subject:
    topic: Approximations and Expansions
  subject:
    topic: Numerical Analysis
  classification: QA71-90
  classification: 004
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Computational Science and Engineering, 130
  identifier: 9783030209612
  identifier: https://doi.org/10.1007/978-3-030-20961-2
  record info:
    record creation date: 190718
    record change date: 20191220125332.0
    record identifier: 978-3-030-20961-2