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Lagrange and average interpolation over 3D anisotropic elements - MaRDI portal

Lagrange and average interpolation over 3D anisotropic elements (Q5949507)

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scientific article; zbMATH DE number 1675907
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Lagrange and average interpolation over 3D anisotropic elements
scientific article; zbMATH DE number 1675907

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    Lagrange and average interpolation over 3D anisotropic elements (English)
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    25 August 2002
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    The author defines an average interpolant operator over 3-rectangles and tetrahedra, and proves optimal order error estimates in the \(H^1\) norm. Anisotropic estimates can be obtained by using the mollifiers technique. The restrictions of this approach is overcome by introducing some appropriate modification of the classical mollifiers procedure.
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    Lagrange interpolation
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    anisotropic elements
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    maximum angle condition
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