Title page for etd-0626106-150814


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URN etd-0626106-150814
Author Shr-jie Jian
Author's Email Address jiansj_27@yahoo.com.tw
Statistics This thesis had been viewed 5103 times. Download 1977 times.
Department Applied Mathematics
Year 2005
Semester 2
Degree Master
Type of Document
Language English
Title High Order FEMs Using Penalty Technigues for Poisson's Eigenvalue Problems with Periodical Boundary Conditions
Date of Defense 2006-05-25
Page Count 84
Keyword
  • Adini’s elements
  • Poisson
  • Poisson’s equation
  • Adini
  • periodical boundary conditions
  • Abstract Adini’s elements are applied to Poisson’s eigenvalue problems in the unit square with periodical boundary conditions and the leading eigenvalues are obtained from the Rayleigh quotient. The penalty techniques are developed to copy with periodical boundary conditions, and superconvergence is also explored for leading eigenvalues. The optimal convergence O(h^6) are obtained for quasiuniform elements
    (see [2, 21]). When the uniform rectangular elements are used, the superconvergence O(h^6+p) with p = 1 or p = 2 of leading eigenvalues is proved, where h is the maximal boundary length of Adini’s elements. Numerical experiments are carried to verify the analysis made.
    Keywords. Adini’s elements, Poisson’s equation, periodical boundary conditions, eigenvalue problems.
    Advisory Committee
  • Cheng-Sheng Chien - chair
  • Tzon-Tzer Lu - co-chair
  • Chien-Sen Huang - co-chair
  • Zi-Cai Li - advisor
  • Hung-Tsai Huang - advisor
  • Files
  • etd-0626106-150814.pdf
  • indicate accessible in a year
    Date of Submission 2006-06-26

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