On the influence of the partitioning schemes on the efficiency of overlapping domain decomposition methods

PDF Version Also Available for Download.

Description

One level overlapping Schwarz domain decomposition preconditioners can be viewed as a generalization of block Jacobi preconditioning. The effect of the number of blocks and the amount of overlapping between blocks on the convergence rate is well understood. This paper considers the related issue of the effect of the scheme used to partition the matrix into blocks on the convergence rate of the preconditioned iterative method. Numerical results for Laplace and linear elasticity problems in two and three dimensions are presented. The tentative conclusion is that using overlap tends to decrease the differences between the rates of convergence for different ... continued below

Physical Description

10 p.

Creation Information

Ciarlet, P., Jr.; Lamour, F. & Smith, B. F. June 1995.

Context

This article 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 11 times . More information about this article can be viewed below.

Who

People and organizations associated with either the creation of this article or its content.

Authors

  • Ciarlet, P., Jr. CEA Centre d`Etudes de Limeil, 94 - Villeneuve-Saint-Georges (France)
  • Lamour, F. Compagnie Internationale de Services en Informatique (CISI) - Centre d`Etudes Nucleaires de Saclay, 91 - Gif-sur-Yvette (France)
  • Smith, B. F. Argonne National Lab., IL (United States)

Sponsors

Publisher

Provided By

UNT Libraries Government Documents Department

Serving as both a federal and a state depository library, the UNT Libraries Government Documents Department maintains millions of items in a variety of formats. The department is a member of the FDLP Content Partnerships Program and an Affiliated Archive of the National Archives.

Contact Us

What

Descriptive information to help identify this article. Follow the links below to find similar items on the Digital Library.

Description

One level overlapping Schwarz domain decomposition preconditioners can be viewed as a generalization of block Jacobi preconditioning. The effect of the number of blocks and the amount of overlapping between blocks on the convergence rate is well understood. This paper considers the related issue of the effect of the scheme used to partition the matrix into blocks on the convergence rate of the preconditioned iterative method. Numerical results for Laplace and linear elasticity problems in two and three dimensions are presented. The tentative conclusion is that using overlap tends to decrease the differences between the rates of convergence for different partitioning schemes.

Physical Description

10 p.

Notes

OSTI as DE95012935

Source

  • Frontiers 95: a workshop on future directions of massively parallel processing, McLean, VA (United States), 6-9 Feb 1995

Language

Item Type

Identifier

Unique identifying numbers for this article in the Digital Library or other systems.

  • Other: DE95012935
  • Report No.: ANL/MCS/CP--84608
  • Report No.: CONF-9502101--3
  • Grant Number: W-31-109-ENG-38
  • Office of Scientific & Technical Information Report Number: 69404
  • Archival Resource Key: ark:/67531/metadc711543

Collections

This article is part of the following collection of related materials.

Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

What responsibilities do I have when using this article?

When

Dates and time periods associated with this article.

Creation Date

  • June 1995

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

Description Last Updated

  • Dec. 16, 2015, 5:35 p.m.

Usage Statistics

When was this article last used?

Yesterday: 0
Past 30 days: 2
Total Uses: 11

Interact With This Article

Here are some suggestions for what to do next.

Start Reading

PDF Version Also Available for Download.

Citations, Rights, Re-Use

Ciarlet, P., Jr.; Lamour, F. & Smith, B. F. On the influence of the partitioning schemes on the efficiency of overlapping domain decomposition methods, article, June 1995; Illinois. (digital.library.unt.edu/ark:/67531/metadc711543/: accessed December 15, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.