Title page for etd-0807112-112527


[Back to Results | New Search]

URN etd-0807112-112527
Author Kang-Ming Yan
Author's Email Address atmlwk_58200@hotmail.com
Statistics This thesis had been viewed 5352 times. Download 615 times.
Department Applied Mathematics
Year 2011
Semester 2
Degree Master
Type of Document
Language English
Title Super-geometric Convergence of Trefftz Method for Helmholtz Equation
Date of Defense 2012-06-21
Page Count 66
Keyword
  • super-geometric convergence
  • rate of convergence
  • singularity analysis
  • Trefftz method
  • Helmholtz equation
  • boundary value problem
  • Abstract In literature Trefftz method normally has geometric (exponential) convergence. Recently many scholars have found that spectral method in some cases can converge faster than exponential, which is called super-geometric convergence. Since Trefftz method can be regarded as a kind of spectral method, we expect it might possess super-geometric convergence too. In this thesis, we classify all types of super-geometric convergence and compare their speeds. We develop a method to decide the convergent type of given error data. Finally we can observe in many numerical experiments the super-geometric convergence of Trefftz method to solve Helmholtz boundary value problems.
    Advisory Committee
  • Chien-Sen Huang - chair
  • Zi-Cai Li - co-chair
  • Tzon-Tzer Lu - advisor
  • Files
  • etd-0807112-112527.pdf
  • Indicate in-campus at 0 year and off-campus access at 1 year.
    Date of Submission 2012-08-07

    [Back to Results | New Search]


    Browse | Search All Available ETDs

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