Title page for etd-0718103-112622


[Back to Results | New Search]

URN etd-0718103-112622
Author Song-ming Yang
Author's Email Address m9024606@student.nsysu.edu.tw
Statistics This thesis had been viewed 5105 times. Download 3153 times.
Department Applied Mathematics
Year 2002
Semester 2
Degree Master
Type of Document
Language English
Title Improved Accuracy for Alternating Direction Methods for Parabolic Equations Based on Mixed Finite Element Procedures
Date of Defense 2003-06-06
Page Count 34
Keyword
  • Alternating direction method
  • mixed finite element methods
  • Abstract Classical alternating direction (AD) methods for parabolic equations, based on some standard implicit time stepping procedure such as Crank-Nicolson, can have errors associated with the AD perturbations that are much larger than the errors associated with the underlying time stepping procedure . We plan to show that minor modifications in the AD procedures can virtually eliminate the perturbation errors at an minor additional computational cost. A mixed finite element method is applied in the spactial variables. Similar to the finite difference and finite element methods in spactial variables, we plan to have the same accuracy in time. A convergence analysis can also be shown .
    Advisory Committee
  • Tzon-Tzer Lu - chair
  • Zi-Cai Li - co-chair
  • Chieh-Sen Huang - advisor
  • Files
  • etd-0718103-112622.pdf
  • indicate access worldwide
    Date of Submission 2003-07-18

    [Back to Results | New Search]


    Browse | Search All Available ETDs

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