Title page for etd-0620108-143959


[Back to Results | New Search]

URN etd-0620108-143959
Author Lin-Feng Lo
Author's Email Address m952040013@student.nsysu.edu.tw
Statistics This thesis had been viewed 5071 times. Download 1267 times.
Department Applied Mathematics
Year 2007
Semester 2
Degree Master
Type of Document
Language English
Title The Method of Fundamental Solutions for 2D Helmholtz Equation
Date of Defense 2008-05-22
Page Count 46
Keyword
  • the method of fundamental solutions
  • Bessel functions
  • Helmholtz equation
  • error analysis
  • the method of particular solutions
  • stability analysis
  • Neumann functions
  • Abstract In the thesis, the error and stability analysis is made for the 2D Helmholtz equation by the method of fundamental solutions (MFS) using both Bessel and Neumann functions. The bounds of errors in bounded simply-connected domains are derived, while the bounds of condition number are derived only for disk domains. The MFS using Bessel functions is more efficient than the MFS using Neumann functions. Interestingly, for the MFS using Bessel functions, the radius R of the source points is not necessarily larger than the maximal radius r_max of the solution domain. This is against the traditional condition: r_max < R for MFS. Numerical experiments are carried out to support the analysis and conclusions made.
    Advisory Committee
  • Zi-Cai Li - chair
  • Der-Liang Young - co-chair
  • Jeng-Tzong Chen - co-chair
  • Chien-Sen Huang - co-chair
  • Tzon-Tzer Lu - advisor
  • Files
  • etd-0620108-143959.pdf
  • indicate in-campus access immediately and off_campus access in a year
    Date of Submission 2008-06-20

    [Back to Results | New Search]


    Browse | Search All Available ETDs

    If you have more questions or technical problems, please contact eThesys