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DIRECTIONAL SPLITTING ON GRID WITH LOCAL REFINEMENT FOR PARABOLIC PROBLEMS

  • Author / Creator
    Zhang,Zecheng
  • A cell centered finite difference scheme for 2D parabolic problems on grids with a local refinement is presented. Peaceman and Rachford directional splitting is used in the discretization of time. The scheme is unconditionally stable and proven to be of second order convergence in time. Numerical experiments indicate that it should also be of second order in space; however, by Bramble Hilbert lemma, we can only prove 3/2 convergence rate given a certain regularity condition of the exact solution. The scheme also can be implemented in

  • Subjects / Keywords
  • Graduation date
    2016-06
  • Type of Item
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/R35Q4RR61
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
    English
  • Institution
    University of Alberta
  • Degree level
    Master's
  • Department
    • Department of Mathematical and Statistical Sciences
  • Specialization
    • applied mathematics
  • Supervisor / co-supervisor and their department(s)
    • Yau Shu Wong(Dept. of. Math. and Stat. Science)
    • Peter Minev (Dept. of. Math. and Stat. Science)
  • Examining committee members and their departments
    • Bin Han (Dept. of. Math. and Stat. Science)
    • Peter Minev (Dept. of. Math. and Stat. Science)
    • Yau Shu Wong(Dept. of. Math. and Stat. Science)
    • Xinwei Yu (Dept. of. Math. and Stat. Science)