Title page for etd-0715102-143756


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URN etd-0715102-143756
Author Yi-mou Li
Author's Email Address sloven@ms56.url.com.tw
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Department Applied Mathematics
Year 2001
Semester 2
Degree Master
Type of Document
Language English
Title Implementation of an Accelerated Domain Decomposition Iterative Procedure
Date of Defense 2002-06-07
Page Count 20
Keyword
  • domain decomposition
  • iterative procedure
  • implementation
  • Abstract This paper is concerned about an implementation of an accelerated domain decomposition iterative
    procedure. In [4], Douglas and Huang had shown the convergence for one dimensional
    partitioning case. This time we make an implementation to show the numerical results, and
    further more extend our procedure to two dimensional partitioning case.
    Our results show that the parameter sequence do accelerate our iterative procedure. In
    one dimensional partitioning case, we have the rule to choose the parameter sequence[4], but
    in two dimensional partitioning case, we still have no idea about the rule, but we still try to
    find some parameters to make our procedure more e cient. After some tests, we find that
    the sequence {0.4, 0.43, 0.45, 0.47, 0.5} works. Though the iteration steps in two dimensional
    partitioning are not decreasing, our results show the computation time is almost the same
    as which in the two dimensional partitioning case. It means that the parallelized program
    could cut down the computation cost.
    Advisory Committee
  • Tzon-Tzer Lu - chair
  • Zi-Cai Li - co-chair
  • Shih-Yu Shen - co-chair
  • ALLEN T. L. HORNG - co-chair
  • Chien-sen Huang - advisor
  • Files
  • etd-0715102-143756.pdf
  • indicate access worldwide
    Date of Submission 2002-07-15

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