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Error estimates for the patching method in the bidimensional case - MaRDI portal

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Error estimates for the patching method in the bidimensional case (Q1805865)

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scientific article; zbMATH DE number 1355480
Language Label Description Also known as
English
Error estimates for the patching method in the bidimensional case
scientific article; zbMATH DE number 1355480

    Statements

    title
    Error estimates for the patching method in the bidimensional case (English)
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    author
    G. Fdez-Manín
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    Rafael Muñoz-Sola
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    publication date
    24 April 2000
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    review text
    Error estimates for the patching of spectral schemes with Gauss-Lobatto nodes are derived. The results are given for the Poisson problem in a bidimensional domain. The simple case of a square domain divided into two nonoverlapping rectangular subdomains is analyzed. The error estimation is performed for the Steklov-Poincaré operator which is operating on the interface.
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    zbMATH Keywords
    patching method
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    spectral methods
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    bidimensional Poisson equation
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    error estimates
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    Steklov-Poincaré operator
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    domain decomposition
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    Identifiers

    Mathematics Subject Classification ID
    65N35
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    65N15
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    35J05
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    zbMATH DE Number
    1355480
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    OpenAlex ID
    W2077992879
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    DOI
    10.1007/S002110050433
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