# Wee Ping YeoUniversiti Brunei Darussalam · Mathematics

Wee Ping Yeo

PhD Mathematics

## About

6

Publications

478

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23

Citations

## Publications

Publications (6)

We present a construction of C1 piecewise quadratic hierarchical bases of Lagrange type on arbitrary polygonal domains Ω⊂R2. Properly normalized, these bases are Riesz bases for Sobolev spaces Hs(Ω), with s∈(1,52). The method is applicable to arbitrary initial triangulations of polygonal domains, and does not require a checkerboard quadrangulation...

We develop a Hermite interpolation scheme and prove error bounds for \(C^1\) bivariate piecewise polynomial spaces of Argyris type vanishing on the boundary of curved domains enclosed by piecewise conics.

We develop a Hermite interpolation scheme and prove error bounds for $C^1$ bivariate piecewise polynomial spaces of Argyris type vanishing on the boundary of curved domains enclosed by piecewise conics.

We show that a nested sequence of C
r
macro-element spline spaces on quasi-uniform triangulations gives rise to hierarchical Riesz bases of Sobolev spaces H
s
(Ω), \(1<s<r+\frac{3}{2}\), and \(H^s_0(\Omega)\), \(1<s<\sigma+\frac{3}{2}\), \(s\notin\mathbb{Z}+\frac{1}{2}\), as soon as there is a nested sequence of Lagrange interpolation sets with uni...

We present a construction of nested spaces of C^2 macro-elements of degree 5 on triangulations of a polygonal domain obtained by uniform refinements of an initial triangulation and a Powell-Sabin-12 split.

A simple analytic formula for the spectral radius of matrix continuous refinement operators is established.
On the space $L_2^m(\sR^s)$, $m\geq1$ and $s\geq1$, their spectral radius is equal to the maximal eigenvalue in magnitude of a number matrix, obtained from the dilation matrix $M$ and the matrix function $c$ defining the corresponding refinem...