Analysis of local defect correction and high-order compact finite differences

M. Sizov, M.J.H. Anthonissen, R.M.M. Mattheij

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2 Citations (Scopus)
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Abstract

We study the possibility of combining the LDC technique with high-order compact schemes. An algorithm is shown first for the 1D stationary convection-diffusion equation, and then it is extended to 2D. The results of testing show that we get the same accuracy of the solution as on the reference fine grid with much less points in the domain (up to 50% fewer points for the examples presented here).
Original languageEnglish
Pages (from-to)815-830
JournalNumerical Methods for Partial Differential Equations
Volume22
Issue number4
DOIs
Publication statusPublished - 2006

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