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Permanent link (DOI): https://doi.org/10.7939/R35Q4RR61

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DIRECTIONAL SPLITTING ON GRID WITH LOCAL REFINEMENT FOR PARABOLIC PROBLEMS Open Access

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Other title
Subject/Keyword
cell centered finite difference
local refinement
directional splitting
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Zhang,Zecheng
Supervisor and department
Yau Shu Wong(Dept. of. Math. and Stat. Science)
Peter Minev (Dept. of. Math. and Stat. Science)
Examining committee member and department
Bin Han (Dept. of. Math. and Stat. Science)
Xinwei Yu (Dept. of. Math. and Stat. Science)
Yau Shu Wong(Dept. of. Math. and Stat. Science)
Peter Minev (Dept. of. Math. and Stat. Science)
Department
Department of Mathematical and Statistical Sciences
Specialization
applied mathematics
Date accepted
2016-03-30T10:24:36Z
Graduation date
2016-06
Degree
Master of Science
Degree level
Master's
Abstract
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
Language
English
DOI
doi:10.7939/R35Q4RR61
Rights
This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for the purpose of private, scholarly or scientific research. 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.
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