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: Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
  name:
    name part: Mathew, Tarek Poonithara Abraham.
    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: 2008
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 770 p. 40 illus. online resource.
  abstract: Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and techniques for heterogeneous approximations. This book serves as an introduction to this subject, with emphasis on matrix formulations. The topics studied include Schwarz, substructuring, Lagrange multiplier and least squares-control hybrid formulations, multilevel methods, non-self adjoint problems, parabolic equations, saddle point problems (Stokes, porous media and optimal control), non-matching grid discretizations, heterogeneous models, fictitious domain methods, variational inequalities, maximum norm theory, eigenvalue problems, optimization problems and the Helmholtz scattering problem. Selected convergence theory is included.
  table of contents: Decomposition Frameworks -- Schwarz Iterative Algorithms -- Schur Complement and Iterative Substructuring Algorithms -- Lagrange Multiplier Based Substructuring: FETI Method -- Computational Issues and Parallelization -- Least Squares-Control Theory: Iterative Algorithms -- Multilevel and Local Grid Refinement Methods -- Non-Self Adjoint Elliptic Equations: Iterative Methods -- Parabolic Equations -- Saddle Point Problems -- Non-Matching Grid Discretizations -- Heterogeneous Domain Decomposition Methods -- Fictitious Domain and Domain Imbedding Methods -- Variational Inequalities and Obstacle Problems -- Maximum Norm Theory -- Eigenvalue Problems -- Optimization Problems -- Helmholtz Scattering Problem.
  note: by Tarek Poonithara Abraham Mathew.
  subject:
    topic: Mathematics
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Partial differential equations
  subject:
    topic: Computer mathematics
  subject:
    topic: Computational intelligence
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Computational Science and Engineering
  subject:
    topic: Mathematics of Computing
  subject:
    topic: Computational Intelligence
  subject:
    topic: Computational Mathematics and Numerical Analysis
  subject:
    topic: Partial Differential Equations
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Computational Science and Engineering, 61
  identifier: 9783540772095
  identifier: http://dx.doi.org/10.1007/978-3-540-77209-5
  record info:
    record creation date: 100301
    record change date: 20151204170453.0
    record identifier: 978-3-540-77209-5