Title page for etd-0812111-021620


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URN etd-0812111-021620
Author I-Sheng Lin
Author's Email Address shenglin74@gmail.com
Statistics This thesis had been viewed 5067 times. Download 639 times.
Department Applied Mathematics
Year 2010
Semester 2
Degree Master
Type of Document
Language English
Title Further Investigation on Null and Interior Field Methods for Laplace’s Equation with Very Small Circular Holes
Date of Defense 2011-06-09
Page Count 85
Keyword
  • small size holes
  • Trefftz method
  • Null field method
  • interior field method
  • fundament solutions
  • error analysis
  • circular domain
  • Abstract The error analysis is made for the simple annular domain with the circular boundaries having the same origin. The error bounds are derived, and the optimal convergence rates can be archived. For circular domains with circular boundaries, the same convergence rates can be achieved by strict proof. Moreover, the NFM algorithms and its conservative schemes can be applied to very small holes, which are difficult for other numerical methods to handle. Both the NFM and the collocation Trefftz method(CTM) are used for very small circular holes, the CTM is superior to the NFM in accuracy and stability.
    Advisory Committee
  • Jeng-Tzong Chen - chair
  • Tzon-Tzer Lu - co-chair
  • Tsung-Lin Lee - co-chair
  • Hung-Tsai Huang - co-chair
  • Zi-Cai Li - advisor
  • Files
  • etd-0812111-021620.pdf
  • indicate access worldwide
    Date of Submission 2011-08-12

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