Item Infomation
Title: | Unisolvence of Symmetric Node Patterns for Polynomial Spaces on the Simplex |
Authors: | W. A., Mulder |
Issue Date: | 2023 |
Publisher: | Springer |
Abstract: | 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. |
Description: | CC BY |
URI: | https://link.springer.com/article/10.1007/s10915-023-02161-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7564 |
Appears in Collections | OER - Khoa học Tự nhiên |
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