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Local superconvergence properties of the post-processed finite volume element method (FVEM) are studied. Some interpolation/extrapolation post-processing techniques are applied to a class of k th-order ( k ≥ 2) FVE solutions… Click to show full abstract
Local superconvergence properties of the post-processed finite volume element method (FVEM) are studied. Some interpolation/extrapolation post-processing techniques are applied to a class of k th-order ( k ≥ 2) FVE solutions for elliptic equations. A local analysis tool for the finite volume method is developed to analyze the proposed method, and some superconvergence results are established. The theoretical findings are supported by several numerical experiments.
Keywords:
finite volume;
volume element;
post processed;
local superconvergence;
superconvergence
Journal Title: Advances in Computational Mathematics
Year Published: 2020
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Journal Title: Advances in Computational Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!