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Title: FINAL REPORT: Multigrid for Systems and Time-Dependent PDEs

Abstract

This report has two sections. The first section is the motivation for looking at differing discretizations on coarse grids for solving a parabolic equation using multigrid in time. The second section contains selected numerical results from the many experiments conducted. The most interesting result is that for explicit fine grid discretizations, the best coarse discretization (i.e. smallest convergence rates) is a weighting between implicit and explicit methods.

Authors:
 [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1289359
Report Number(s):
LLNL-SR-699265
DOE Contract Number:
AC52-07NA27344
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE

Citation Formats

Jones, J. E.. FINAL REPORT: Multigrid for Systems and Time-Dependent PDEs. United States: N. p., 2016. Web. doi:10.2172/1289359.
Jones, J. E.. FINAL REPORT: Multigrid for Systems and Time-Dependent PDEs. United States. doi:10.2172/1289359.
Jones, J. E.. 2016. "FINAL REPORT: Multigrid for Systems and Time-Dependent PDEs". United States. doi:10.2172/1289359. https://www.osti.gov/servlets/purl/1289359.
@article{osti_1289359,
title = {FINAL REPORT: Multigrid for Systems and Time-Dependent PDEs},
author = {Jones, J. E.},
abstractNote = {This report has two sections. The first section is the motivation for looking at differing discretizations on coarse grids for solving a parabolic equation using multigrid in time. The second section contains selected numerical results from the many experiments conducted. The most interesting result is that for explicit fine grid discretizations, the best coarse discretization (i.e. smallest convergence rates) is a weighting between implicit and explicit methods.},
doi = {10.2172/1289359},
journal = {},
number = ,
volume = ,
place = {United States},
year = 2016,
month = 8
}

Technical Report:

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