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- W2371962582 abstract "Divergence-free wavelets with tangential boundary plays an important role in numerical simulation of vector fields.In view of the zero boundary and the simple structure of Hardin-Marasovich wavelets,a class of three-dimensional isotropic divergence-free wavelets with tangential boundary are studied.Firstly,based on differential relations of Hardin-Marasovich wavelet functions,it is proved that the bi-orthogonal projection of divergence-free vector fields is still divergence-free.Then,the definition of isotropic divergence-free scale functions are given based on the characterization of divergence-free space,and the corresponding divergence-free scale spaces are proved to form a multiresolution analysis.Finally,the isotropic divergence-free multiwavelets are defined,and the relation between the decomposition coefficients of the divergence-free wavelets and the classical wavelets is given,which shows that the divergence-free decomposition coefficients can be fastly computed." @default.
- W2371962582 created "2016-06-24" @default.
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- W2371962582 date "2014-01-01" @default.
- W2371962582 modified "2023-09-24" @default.
- W2371962582 title "A Class of Divergence-free Multiwavelets with Tangential Boundary" @default.
- W2371962582 hasPublicationYear "2014" @default.
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