Three-Dimensional Biorthogonal Divergence-Free and Curl-Free Wavelets with Free-Slip Boundary
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 fre...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/954717 |
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| _version_ | 1849396216103698432 |
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| author | Yingchun Jiang Qingqing Sun |
| author_facet | Yingchun Jiang Qingqing Sun |
| author_sort | Yingchun Jiang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b1730e6c3bbf448c8f53fae3c31f70ba |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b1730e6c3bbf448c8f53fae3c31f70ba2025-08-20T03:39:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/954717954717Three-Dimensional Biorthogonal Divergence-Free and Curl-Free Wavelets with Free-Slip BoundaryYingchun Jiang0Qingqing Sun1School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, ChinaThis 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.http://dx.doi.org/10.1155/2013/954717 |
| spellingShingle | Yingchun Jiang Qingqing Sun Three-Dimensional Biorthogonal Divergence-Free and Curl-Free Wavelets with Free-Slip Boundary Journal of Applied Mathematics |
| title | Three-Dimensional Biorthogonal Divergence-Free and Curl-Free Wavelets with Free-Slip Boundary |
| title_full | Three-Dimensional Biorthogonal Divergence-Free and Curl-Free Wavelets with Free-Slip Boundary |
| title_fullStr | Three-Dimensional Biorthogonal Divergence-Free and Curl-Free Wavelets with Free-Slip Boundary |
| title_full_unstemmed | Three-Dimensional Biorthogonal Divergence-Free and Curl-Free Wavelets with Free-Slip Boundary |
| title_short | Three-Dimensional Biorthogonal Divergence-Free and Curl-Free Wavelets with Free-Slip Boundary |
| title_sort | three dimensional biorthogonal divergence free and curl free wavelets with free slip boundary |
| url | http://dx.doi.org/10.1155/2013/954717 |
| work_keys_str_mv | AT yingchunjiang threedimensionalbiorthogonaldivergencefreeandcurlfreewaveletswithfreeslipboundary AT qingqingsun threedimensionalbiorthogonaldivergencefreeandcurlfreewaveletswithfreeslipboundary |