3 papers
math.NA2026
Optimal error analysis of an interior penalty virtual element method for fourth-order singular perturbation problems
Fang Feng, Yuanyi Sun, Yue Yu
In recent studies \cite{ZZ24, FY24}, the Interior Penalty Virtual Element Method (IPVEM) has been developed for solving a fourth-order singular perturbation problem, with uniform c…
math.NA2025
The Arrow-Hurwicz iteration for virtual element discretizations of the incompressible Navier-Stokes equations
Binbin Du, Shenxiang Cheng, Yue Yu +1
This article presents a detailed analysis of the Arrow-Hurwicz iteration applied to the solution of the incompressible Navier-Stokes equations, discretized by a divergence-free mix…
math.NA2025
A posteriori error estimation for an interior penalty virtual element method of Kirchhoff plates
Fang Feng, Yuming Hu, Yue Yu +1
In this paper, we develop a residual-type a posteriori error estimation for an interior penalty virtual element method (IPVEM) for the Kirchhoff plate bending problem. Building on…