Title page for etd-0225103-151216


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URN etd-0225103-151216
Author Nan-Cheng Wang
Author's Email Address ncwang@so-net.net.tw
Statistics This thesis had been viewed 5061 times. Download 1535 times.
Department Applied Mathematics
Year 2002
Semester 1
Degree Master
Type of Document
Language English
Title An Accelerated Domain Decomposition Procedure for Mixed Schwarz Alternating Method
Date of Defense 2003-01-21
Page Count 33
Keyword
  • Robin
  • alternating-direction iteration
  • sectorial domain
  • Abstract The use of Robin boundary conditions as interfacial transmission conditions in nonoverlapping domain decomposition iterative procedures was introduced by P.~L.~Lions and later discussed by a number of authors. In all of these discussions, the weighting of the flux and the trace of the solution were independent of the iterative step number. Recently, Douglas and Huang have considered an extension in which the weighting has depended on the iterative index and proved that an acceleration in the convergence rate similar to that occurring for alternating-direction iteration using a cycle of pseudo-time steps results. Combined methods have received a lot of attention on the study of the boundary value problems of elliptic equation with singularities domain. The objects of this paper are to extend this accelerated procedure to a singularity problem on a sectorial domain. We show that the convergence rate similar to that occurring for alternating-direction iteration results. Also, a combined method and the methodology of weighting parameter can be used to solve a singularity problem.
    Advisory Committee
  • Zi-Cai Li - chair
  • Tzon-Tzer Lu - co-chair
  • Chieh-Sen Huang - advisor
  • Files
  • etd-0225103-151216.pdf
  • indicate access worldwide
    Date of Submission 2003-02-25

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