Title page for etd-0709109-015029


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URN etd-0709109-015029
Author Ya-Ting Chi
Author's Email Address No Public.
Statistics This thesis had been viewed 5100 times. Download 2523 times.
Department Applied Mathematics
Year 2008
Semester 2
Degree Master
Type of Document
Language English
Title The method of fundamental solution for Laplace's equation in 3D
Date of Defense 2009-06-04
Page Count 35
Keyword
  • Laplace's equation
  • method of fundamental solutions
  • sources points
  • collocation points
  • cylinder
  • spheres
  • 3D problems
  • Abstract For the method of fundamental solutions(MFS), many reports deal
    with 2D problems. Since the MFS is more advantageous for 3D
    problems, this thesis is devoted to Laplace's equation in 3D
    problems. Since the fundamental solutions(FS)
    Φ(x,y)=1/(4π||x-y||), x,y∈R^3
    are known, the location of source points is important in real
    computation. In this thesis, we choose a cylinder as the solution
    domain, and the source points on larger cylinders and spheres.
    Numerical results are reported, to draw some useful conclusions.
    The theoretical analysis will be explored in the future.
    Advisory Committee
  • Tzon-Tzer Lu - chair
  • Lih-Jier Yeong - co-chair
  • Chien-Sen Huang - co-chair
  • Zi-Cai Li - advisor
  • Hung-Tsai Huang - advisor
  • Files
  • etd-0709109-015029.pdf
  • indicate in-campus access immediately and off_campus access in a year
    Date of Submission 2009-07-09

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