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, issue 1

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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https://doi.org/10.1155/2013/954717

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:954717

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