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Three-dimensional biorthogonal divergence-free and curl-free wavelets with free-slip boundary - MaRDI portal

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Three-dimensional biorthogonal divergence-free and curl-free wavelets with free-slip boundary (Q1791402)

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scientific article; zbMATH DE number 6950956
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Three-dimensional biorthogonal divergence-free and curl-free wavelets with free-slip boundary
scientific article; zbMATH DE number 6950956

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    Three-dimensional biorthogonal divergence-free and curl-free wavelets with free-slip boundary (English)
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    10 October 2018
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    Summary: This paper deals with the construction of divergence-free and curl-free wavelets on the unit cube, which satisfies the free-slip boundary conditions. First, interval wavelets adapted to our construction are introduced. Then, we provide the biorthogonal divergence-free and curl-free wavelets with free-slip boundary and simple structure, based on the characterization of corresponding spaces. Moreover, the bases are also stable.
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