Unisolvence of Symmetric Node Patterns for Polynomial Spaces on the Simplex
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10915-023-02161-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7564 |
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oai:localhost:PNK-75642023-04-05T06:57:01Z Unisolvence of Symmetric Node Patterns for Polynomial Spaces on the Simplex W. A., Mulder polynomial basis functions symmetric distribution CC BY Finite elements with polynomial basis functions on the simplex with a symmetric distribution of nodes should have a unique polynomial representation. Unisolvence not only requires that the number of nodes equals the number of independent polynomials spanning a polynomial space of a given degree, but also that the Vandermonde matrix controlling their mapping to the Lagrange interpolating polynomials can be inverted. Here, a necessary condition for unisolvence is presented for polynomial spaces that have non-decreasing degrees when going from the edges and the various faces to the interior of the simplex. 2023-04-05T06:57:01Z 2023-04-05T06:57:01Z 2023 Book https://link.springer.com/article/10.1007/s10915-023-02161-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7564 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
polynomial basis functions symmetric distribution |
| spellingShingle |
polynomial basis functions symmetric distribution W. A., Mulder Unisolvence of Symmetric Node Patterns for Polynomial Spaces on the Simplex |
| description |
CC BY |
| format |
Book |
| author |
W. A., Mulder |
| author_facet |
W. A., Mulder |
| author_sort |
W. A., Mulder |
| title |
Unisolvence of Symmetric Node Patterns for Polynomial Spaces on the Simplex |
| title_short |
Unisolvence of Symmetric Node Patterns for Polynomial Spaces on the Simplex |
| title_full |
Unisolvence of Symmetric Node Patterns for Polynomial Spaces on the Simplex |
| title_fullStr |
Unisolvence of Symmetric Node Patterns for Polynomial Spaces on the Simplex |
| title_full_unstemmed |
Unisolvence of Symmetric Node Patterns for Polynomial Spaces on the Simplex |
| title_sort |
unisolvence of symmetric node patterns for polynomial spaces on the simplex |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s10915-023-02161-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7564 |
| _version_ |
1762365502490935296 |
| score |
8.887929 |