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

[摘要] This paper deals with the construction of divergence-free and curl-free waveletson the unit cube, which satisfies the free-slip boundary conditions. First, interval waveletsadapted to our construction are introduced. Then, we provide the biorthogonal divergence-freeand curl-free wavelets with free-slip boundary and simple structure, based on the characterization of corresponding spaces. Moreover, the bases are also stable.

[学科分类] 应用数学