1 citations · 3 across the 8 of their papers we have counts for
8 papers
Two types of spectral volume methods for 1-D linear hyperbolic equations with degenerate variable coefficients
Minqiang Xu, Yanting yuan, Waixiang Cao +1
In this paper, we analyze two classes of spectral volume (SV) methods for one-dimensional hyperbolic equations with degenerate variable coefficients. The two classes of SV methods…
Superconvergence of the Direct Discontinuous Galerkin Method for Two-Dimensional Nonlinear Convection-Diffusion Equations
Xinyue Zhang, Waixiang Cao
This paper is concerned with superconvergence properties of the direct discontinuous Galerkin (DDG) method for two-dimensional nonlinear convection-diffusion equations. By using th…
An -weak Galerkin method for second order elliptic equations in non-divergence form
Waixiang Cao, Junping Wang, Yuesheng Xu
This article presents a new primal-dual weak Galerkin method for second order elliptic equations in non-divergence form. The new method is devised as a constrained -optimizati…
A -conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence ananlysis over rectangular meshes
Waixiang Cao, Lueling Jia, Zhimin Zhang
In this paper, a new -conforming Petrov-Galerkin method for convection-diffusion equations is designed and analyzed. The trail space of the proposed method is a -conformi…
Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations
Waixiang Cao, Dongfang Li, Zhimin Zhang
In this paper, we present and analyze an energy-conserving and linearly implicit scheme for solving the nonlinear wave equations. Optimal error estimates in time and superconvergen…
A New Primal-Dual Weak Galerkin Method for Elliptic Interface Problems with Low Regularity Assumptions
Waixiang Cao, Chunmei Wang, Junping Wang
This article introduces a new primal-dual weak Galerkin (PDWG) finite element method for second order elliptic interface problems with ultra-low regularity assumptions on the exact…