3 papers
math.NA2026
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…
math.NA2026
A Decoupled Low-Order Conforming Mixed Finite Element Method for a Three-Dimensional Fourth-Order Singularly Perturbed Problem
Yuanchun Tang, Baiju Zhang, Zhimin Zhang
This paper develops a decoupled low-order conforming finite element method for a fourth-order elliptic singular perturbation problem in three dimensions. By means of a generalized…
math.NA2026
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…