51 citations · 135 across the 19 of their papers we have counts for
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An - Primal-Dual Weak Galerkin Method for Convection-Diffusion Equations
Waixiang Cao, Chunmei Wang, Junping Wang
In this article, the authors present a new - primal-dual weak Galerkin method (-PDWG) for convection-diffusion equations with . The existence and uniqueness of the n…
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…