4 papers
Natural superconvergence points and asymptotic expansions for spline finite elements in one dimension
Peng Yang, Zhimin Zhang
We study the natural superconvergence points and asymptotic expansions of one-dimensional spline finite element approximations. For a spline space of degree and any smoothness…
High-order complete flux schemes for convection-diffusion equations on arbitrary subdivisions
Wenyu Lei, Liwei Xu, Peng Yang
We develop a novel complete flux finite volume method for convection-diffusion equations on arbitrary subdivisions in two and three dimensions. Unlike standard finite volume discre…
Element-based B-spline basis function spaces: construction and application in isogeometric analysis
Peng Yang, Maodong Pan, Falai Chen +1
This paper develops a unified theoretical framework for constructing B-spline basis function spaces with structural equivalence to finite element spaces. The theory rigorously esta…
Natural superconvergence points for splines
Peng Yang, Zhimin Zhang
This paper develops a unified theory of natural superconvergence points for polynomial spline approximations to second-order elliptic problems. Beginning with the one-dimensional c…