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The discrete compactness property for anisotropic edge elements on polyhedral domains (Q2836460)

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scientific article; zbMATH DE number 6183187
Language Label Description Also known as
English
The discrete compactness property for anisotropic edge elements on polyhedral domains
scientific article; zbMATH DE number 6183187

    Statements

    title
    The discrete compactness property for anisotropic edge elements on polyhedral domains (English)
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    author
    A. L. Lombardi
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    publication date
    3 July 2013
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    zbMATH Keywords
    discrete compactness property
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    anisotropic finite elements
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    edge elements
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    Maxwell equations
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    review text
    The author proves the validity of the discrete compactness property for edge elements of any order on a class of anisotropically refined tetrahedral meshes on general Lipschitz polyhedral domains. Both edge and corner refinements are considered. The class of meshes considered includes the anisotropic graded meshes designed by \textit{T. Apel} and \textit{S. Nicaise} [Math. Methods Appl. Sci. 21, No. 6, 519--549 (1998; Zbl 0911.65107)].
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    Identifiers

    Mathematics Subject Classification ID
    78M10
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    65N30
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    65N25
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    65N50
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    zbMATH DE Number
    6183187
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    OpenAlex ID
    W2129754864
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    DOI
    10.1051/M2AN/2012024
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