Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle

DOI10.1016/j.cam.2010.06.019zbMath1200.65010OpenAlexW2057719321MaRDI QIDQ708286

Alvise Sommariva, Marco Vianello, L. P. Bos

Publication date: 11 October 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.06.019

zbMATH Keywords

triangleinterpolationdisknumerical examplessimplexpolygonsweakly admissible meshesleast-squares polynomial approximation

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Multidimensional problems (41A63) Approximation by polynomials (41A10)

Related Items (8)

Polynomial fitting and interpolation on circular sections ⋮ Suboptimal Polynomial Meshes on Planar Lipschitz Domains ⋮ Padua points and fake nodes for polynomial approximation: old, new and open problems ⋮ Polynomial interpolation and cubature over polygons ⋮ Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder ⋮ Interpolation on the disk ⋮ On the computation of sets of points with low Lebesgue constant on the unit disk ⋮ Small perturbations of polynomial meshes

Uses Software

• Matlab

Cites Work

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• On projection constants of polynomial spaces on the unit ball in several variables
• Bivariate Lagrange interpolation at the Padua points: the generating curve approach
• An explicit construction of interpolation nodes on the simplex
• Uniform approximation by discrete least squares polynomials
• Spectral methods on triangles and other domains
• Bivariate polynomial interpolation on the square at new nodal sets
• Asymptotic behavior of Lebesgue constants in trigonometric interpolation
• Rounding error analysis of the classical Gram-Schmidt orthogonalization process
• An Algorithm for Computing Fekete Points in the Triangle
• Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points

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