Coarse Spaces by Algebraic Multigrid: Multigrid Convergence and Upscaled Error Estimates Metadata

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Title

  • Main Title Coarse Spaces by Algebraic Multigrid: Multigrid Convergence and Upscaled Error Estimates

Creator

  • Author: Vassilevski, P S
    Creator Type: Personal

Contributor

  • Sponsor: United States. Department of Energy.
    Contributor Type: Organization

Publisher

  • Name: Lawrence Livermore National Laboratory
    Place of Publication: Livermore, California
    Additional Info: Lawrence Livermore National Laboratory (LLNL), Livermore, CA

Date

  • Creation: 2010-04-30

Language

  • English

Description

  • Content Description: We give an overview of a number of algebraic multigrid methods targeting finite element discretization problems. The focus is on the properties of the constructed hierarchy of coarse spaces that guarantee (two-grid) convergence. In particular, a necessary condition known as 'weak approximation property', and a sufficient one, referred to as 'strong approximation property' are discussed. Their role in proving convergence of the TG method (as iterative method) and also on the approximation properties of the AMG coarse spaces if used as discretization tool is pointed out. Some preliminary numerical results illustrating the latter aspect are also reported.
  • Physical Description: PDF-file: 20 pages; size: 1.3 Mbytes

Subject

  • Keyword: Iterative Methods
  • Keyword: Approximations
  • STI Subject Categories: 97 Mathematics, Computing, And Information Science
  • Keyword: Convergence

Source

  • Conference: Presented at: Sparse Representation of Multiscale Data and Images, Singapore, Singapore, Dec 14 - Dec 17, 2009

Collection

  • Name: Office of Scientific & Technical Information Technical Reports
    Code: OSTI

Institution

  • Name: UNT Libraries Government Documents Department
    Code: UNTGD

Resource Type

  • Article

Format

  • Text

Identifier

  • Report No.: LLNL-PROC-432896
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 1010832
  • Archival Resource Key: ark:/67531/metadc836683
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