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

Yingchun Jiang and Qingqing Sun

Journal of Applied Mathematics, 2013, vol. 2013, 1-10

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:954717

DOI: 10.1155/2013/954717

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