5 papers
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…
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…
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…
Positivity and Maximum Principle Preserving Discontinuous Galerkin Finite Element Schemes for a Coupled Flow and Transport
Shihua Gong, Young-Ju Lee, Yukun Li +1
We introduce a new concept of the locally conservative flux and investigate its relationship with the compatible discretization pioneered by Dawson, Sun and Wheeler [11]. We then d…
The interior penalty virtual element method for fourth-order singular perturbation problems
Fang Feng, Yue Yu
This paper is dedicated to the numerical solution of a fourth-order singular perturbation problem using the interior penalty virtual element method (IPVEM) proposed in [42]. The st…