Three-Dimensional Biorthogonal Divergence-Free and Curl-Free Wavelets with Free-Slip Boundary | Zendy

Yingchun Jiang | Zendy; Qingqing Sun | Zendy

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Three-Dimensional Biorthogonal Divergence-Free and Curl-Free Wavelets with Free-Slip Boundary

Author(s) -

Yingchun Jiang,

Qingqing Sun

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/954717

Subject(s) - curl (programming language) , wavelet , biorthogonal system , mathematics , mathematical analysis , unit cube , pure mathematics , geometry , computer science , wavelet transform , artificial intelligence , programming language

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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