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Unisolvence of Symmetric Node Patterns for Polynomial Spaces on the Simplex

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Bibliographic Details
Main Author: W. A., Mulder
Format: Book
Language:English
Published: Springer 2023
Subjects:
polynomial basis functions
symmetric distribution
Online Access:https://link.springer.com/article/10.1007/s10915-023-02161-1
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7564
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spelling 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 8.891695

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