Title page for etd-0629101-125213


[Back to Results | New Search]

URN etd-0629101-125213
Author Lin-Tai Tang
Author's Email Address ldtang@kimo.com.tw
Statistics This thesis had been viewed 5057 times. Download 2865 times.
Department Applied Mathematics
Year 2000
Semester 2
Degree Master
Type of Document
Language English
Title Cracked-Beam and Related Singularity Problems
Date of Defense 2001-06-01
Page Count 162
Keyword
  • Laplace's equation
  • test model of singularity
  • Singularity problem
  • Cracked Beam Problem
  • Abstract Cracked beam problem is an elliptic boundary value problem with singularity. It is often used as a testing model for numerical methods.
    We use numerical and symbolic boundary approximation methods and boundary collocation method to compute its extremely high accurate solution with global error $O(10^{-100})$.
    This solution then can be regarded as the exact solution. On the other hand, we vary the boundary conditions of this problem to obtain several related models.
    Their numerical solutions are compared to those of cracked beam and Motz problems, the prototypes of singularity problems.
    From the comparison we can conclude the advantage of each model and decide the best testing model for numerical methods.
    Advisory Committee
  • Zi-Cai Li - chair
  • Shih-Yu Shen - co-chair
  • Tzyy-Leng Horng - co-chair
  • Chieh-Sen Huang - co-chair
  • Tzon-Tzer LU - advisor
  • Files
  • etd-0629101-125213.pdf
  • indicate access worldwide
    Date of Submission 2001-06-29

    [Back to Results | New Search]


    Browse | Search All Available ETDs

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