Black box multigrid solver for definite and indefinite problems

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Description

A two-level analysis method for certain separable problems is introduced. It motivates the definition of improved versions of Black Box Multigrid for diffusion problems with discontinuous coefficients and indefinite Helmholtz equations. For anisotropic problems, it helps in choosing suitable implementations for frequency decomposition multigrid methods. For highly indefinite problems, it provides a way to choose in advance a suitable mesh size for the coarsest grid used. Numerical experiments confirm the analysis and show the advantage of the present methods for several examples.

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21 p.

Creation Information

Shapira, Yair February 1, 1997.

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This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 19 times . More information about this report can be viewed below.

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Description

A two-level analysis method for certain separable problems is introduced. It motivates the definition of improved versions of Black Box Multigrid for diffusion problems with discontinuous coefficients and indefinite Helmholtz equations. For anisotropic problems, it helps in choosing suitable implementations for frequency decomposition multigrid methods. For highly indefinite problems, it provides a way to choose in advance a suitable mesh size for the coarsest grid used. Numerical experiments confirm the analysis and show the advantage of the present methods for several examples.

Physical Description

21 p.

Notes

OSTI as DE97002961

Source

  • Other Information: PBD: [1997]

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  • Other: DE97002961
  • Report No.: LA-UR--96-3703
  • Grant Number: W-7405-ENG-36
  • DOI: 10.2172/431140 | External Link
  • Office of Scientific & Technical Information Report Number: 431140
  • Archival Resource Key: ark:/67531/metadc682575

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Office of Scientific & Technical Information Technical Reports

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Creation Date

  • February 1, 1997

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • May 20, 2016, 2:31 p.m.

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Shapira, Yair. Black box multigrid solver for definite and indefinite problems, report, February 1, 1997; New Mexico. (digital.library.unt.edu/ark:/67531/metadc682575/: accessed October 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.