LEBFEK: Matlab codes and data sets for bivariate Lebesgue and Fekete interpolation. In M. Briani, A. Sommariva, M. Vianello, Computing Fekete and Lebesgue points: simplex, square, disk we have described some algorithms for computing (quasi-)Lebesgue and (quasi-)Fekete points on the unit simplex, a square and on the unit disk. The respective codes and sets for these domains can be found in the links below. SIMPLEX; SQUARE; DISK.

References in zbMATH (referenced in 17 articles , 1 standard article )

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  1. Carnicer, Jésus Miguel; Mainar, Esmeralda; Peña, Juan Manuel: Stability properties of disk polynomials (2021)
  2. Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua: On the numerical computation of bivariate Lagrange polynomials (2021)
  3. Karvonen, Toni; Särkkä, Simo; Tanaka, Ken’ichiro: Kernel-based interpolation at approximate Fekete points (2021)
  4. Antonietti, Paola F.; Melas, Laura: Algebraic multigrid schemes for high-order nodal discontinuous Galerkin methods (2020)
  5. Tanaka, Ken’ichiro: Generation of point sets by convex optimization for interpolation in reproducing kernel Hilbert spaces (2020)
  6. Liu, Bo; Liu, Cuiyun; Lu, Shuai; Wu, Yang; Xing, Yufeng; Ferreira, A. J. M.: A differential quadrature hierarchical finite element method using Fekete points for triangles and tetrahedrons and its applications to structural vibration (2019)
  7. Meurant, Gérard; Sommariva, Alvise: On the computation of sets of points with low Lebesgue constant on the unit disk (2019)
  8. Bialas-Ciez, Leokadia; Kosek, Marta; Stawiska, Małgorzata: On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets (2018)
  9. Liu, Youshan; Teng, Jiwen; Xu, Tao; Badal, José: Higher-order triangular spectral element method with optimized cubature points for seismic wavefield modeling (2017)
  10. Ramos-López, D.; Sánchez-Granero, M. A.; Fernández-Martínez, M.; Martínez-Finkelshtein, A.: Optimal sampling patterns for Zernike polynomials (2016)
  11. Chan, Jesse; Warburton, T.: A comparison of high order interpolation nodes for the pyramid (2015)
  12. Sommariva, Alvise; Vianello, Marco: Polynomial fitting and interpolation on circular sections (2015)
  13. Carnicer, J. M.; Godés, C.: Interpolation on the disk (2014)
  14. Briani, Matteo; Sommariva, Alvise; Vianello, Marco: Computing Fekete and Lebesgue points: Simplex, square, disk (2012)
  15. De Marchi, Stefano; Marchioro, Martina; Sommariva, Alvise: Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder (2012)
  16. Mazzieri, Ilario; Rapetti, Francesca: Dispersion analysis of triangle-based spectral element methods for elastic wave propagation (2012)
  17. Rapetti, Francesca; Sommariva, Alvise; Vianello, Marco: On the generation of symmetric Lebesgue-like points in the triangle (2012)