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: Multiscale Model Reduction
    sub title: Multiscale Finite Element Methods and Their Generalizations
  name:
    name part: Chung, Eric.
    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: Efendiev, Yalchin.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Hou, Thomas Y.
    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
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 2023
    edition: 1st ed. 2023.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (XIV, 491 pages 177 illustrations, 162 illustrations in color.)
  abstract: This monograph is devoted to the study of multiscale model reduction methods from the point of view of multiscale finite element methods. Multiscale numerical methods have become popular tools for modeling processes with multiple scales. These methods allow reducing the degrees of freedom based on local offline computations. Moreover, these methods allow deriving rigorous macroscopic equations for multiscale problems without scale separation and high contrast. Multiscale methods are also used to design efficient solvers. This book offers a combination of analytical and numerical methods designed for solving multiscale problems. The book mostly focuses on methods that are based on multiscale finite element methods. Both applications and theoretical developments in this field are presented. The book is suitable for graduate students and researchers, who are interested in this topic.
  table of contents: Introduction -- Homogenization and Numerical Homogenization of Linear Equations -- Local Model Reduction: Introduction to Multiscale Finite Element Methods -- Generalized Multiscale Finite Element Methods: Main Concepts and Overview -- Adaptive Strategies -- Selected Global Formulations for GMsFEM and Energy Stable Oversampling -- GMsFEM Using Sparsity in the Snapshot Spaces -- Space-time GMsFEM -- Constraint Energy Minimizing Concepts -- Non-local Multicontinua Upscaling -- Space-time GMsFEM -- Multiscale Methods for Perforated Domains -- Multiscale Stabilization -- GMsFEM for Selected Applications -- Homogenization and Numerical Homogenization of Nonlinear Equations -- GMsFEM for Nonlinear Problems -- Nonlinear Non-local Multicontinua Upscaling -- Global-local Multiscale Model Reduction Using GMsFEM -- Multiscale Methods in Temporal Splitting. Efficient Implicit-explicit Methods for Multiscale Problems -- References -- Index.
  note: by Eric Chung, Yalchin Efendiev, Thomas Y. Hou.
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematics-Data processing
  subject:
    topic: Mathematical physics
  subject:
    topic: Numerical Analysis
  subject:
    topic: Computational Science and Engineering
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  classification: QA297-299.4
  classification: 518
  related item:
    title info:
      title: Springer Nature eBook
  related item:
    title info:
      title: Applied Mathematical Sciences, 212
  identifier: 9783031204098
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record creation date: 230607
    record change date: 20240805190149.3
    record identifier: in00004740117