Computing the Bézier Control Points of the Lagrangian Interpolant in Arbitrary Dimension

DOI10.1137/15M1046113zbMath1339.65023arXiv1510.09197OpenAlexW2962769476MaRDI QIDQ2811994

Manuel A. Sánchez, Mark Ainsworth

Publication date: 10 June 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.09197

zbMATH Keywords

algorithmfinite element methodBernstein polynomialstotal positivityNeville eliminationcomputer aided geometric designBernstein-Vandermonde matrixmultivariate polynomial interpolationspline approximation theory

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

On the formulation of a BEM in the Bézier-Bernstein space for the solution of Helmholtz equation ⋮ GPU-Accelerated Bernstein--Bézier Discontinuous Galerkin Methods for Wave Problems ⋮ Structured Inversion of the Bernstein--Vandermonde Matrix

Uses Software

• mctoolbox

Cites Work

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• Low-Complexity Finite Element Algorithms for the de Rham Complex on Simplices
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• On Multivariate Interpolation
• Spline Functions on Triangulations
• Effectively Well-Conditioned Linear Systems
• Barycentric Lagrange Interpolation
• Accuracy and Stability of Numerical Algorithms

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