65 citations · 140 across the 37 of their papers we have counts for
38 papers
An Interface Green's Function Framework for Complete Discrete Analysis of Discontinuous Galerkin Methods
Haitao Leng, Weifeng Qiu
Pointwise error analysis of discontinuous Galerkin (DG) methods for the Poisson equation has received considerable attention during the past two decades. However, on convex polyhed…
A unified analysis of maximum-norm estimates for a class of HDG methods for parabolic problem in polyhedral domains
Huangxin Chen, Haitao Leng, Weifeng Qiu
This paper studies a general class of semi-discrete hybridizable discontinuous Galerkin (HDG) methods, including mixed methods, for parabolic problems in nonconvex polygonal and po…
Analysis of a finite element method for second order uniformly elliptic PDEs in non-divergence form
Weifeng Qiu
We propose one finite element method for both second order linear uniformly elliptic PDE in non-divergence form and the uniformly elliptic Hamilton-Jacobi-Bellman (HJB) equation. F…
Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra
Buyang Li, Weifeng Qiu, Yupei Xie +1
The weak maximum principle of the isoparametric finite element method is proved for the Poisson equation under the Dirichlet boundary condition in a (possibly concave) curvilinear…
A Non-gradient DG method for second-order Elliptic Equations in the Non-divergence Form
Weifeng Qiu, Jin Ren, Ke Shi +1
based optimization is widely used in image denoising, machine learning and related applications. One of the main features of such approach is that it naturally provide a spar…
Error estimates for the scalar auxiliary variable (SAV) scheme to the Cahn-Hilliard equation
Shu Ma, Weifeng Qiu, Xiaofeng Yang
The optimal error estimate that depending only on the polynomial degree of is established for the temporal semi-discrete scheme of the Cahn-Hilliard equation, w…