3 citations · 3 across the 1 of their papers we have counts for
7 papers
Spectral approximation on the unit ball
Huiyuan Li, Yuan Xu
Spectral approximation by polynomials on the unit ball is studied in the frame of the Sobolev spaces $W^{s}_p(\ball)$, . The main results give sharp estimates on the or…
A New Triangular Spectral Element Method I: Implementation and Analysis on a Triangle
Michael Daniel Samson, Huiyuan Li, Li-Lian Wang
This paper serves as our first effort to develop a new triangular spectral element method (TSEM) on unstructured meshes, using the rectangle-triangle mapping proposed in the confer…
Discrete Fourier Analysis and Chebyshev Polynomials with Group
Huiyuan Li, Jiachang Sun, Yuan Xu
The discrete Fourier analysis on the -- triangle is deduced from the corresponding results on the regular hexagon by considering functions…
Discrete Fourier analysis with lattices on planar domains
Huiyuan Li, Jiachang Sun, Yuan Xu
A discrete Fourier analysis associated with translation lattices is developed recently by the authors. It permits two lattices, one determining the integral domain and the other de…
Discrete Fourier analysis on fundamental domain of lattice and on simplex in -variables
Huiyuan Li, Yuan Xu
A discrete Fourier analysis on the fundamental domain of the -dimensional lattice of type is studied, where is the regular hexagon and is the rhombic dod…
Discrete Fourier analysis on a dodecahedron and a tetrahedron
Huiyuan Li, Yuan Xu
A discrete Fourier analysis on the dodecahedron is studied, from which results on a tetrahedron is deduced by invariance. The results include Fourier analysis in trigonometric func…