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Analysis of a fourth order scheme and application of local defect correction method - MaRDI portal

Analysis of a fourth order scheme and application of local defect correction method (Q2925913)

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scientific article; zbMATH DE number 6362195
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English
Analysis of a fourth order scheme and application of local defect correction method
scientific article; zbMATH DE number 6362195

    Statements

    29 October 2014
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    Poisson problem
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    high-order scheme
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    local defect correction
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    multiscale method
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    Hermitian box-scheme
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    numerical test
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    Analysis of a fourth order scheme and application of local defect correction method (English)
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    The author analyses a scheme called Hermitian box-scheme (HB-scheme) for the Poisson problem in one dimension. The HB-scheme is found numerically to be fourth-order accurate. An application of the local defect correction technique combined with the HB-scheme is provided. Some numerical tests showing the interest of this application are presented.
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