51 citations · 135 across the 19 of their papers we have counts for
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math.NA2020
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…
math.NA2020
A Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence
Waixiang Cao, Lueling Jia, Zhimin Zhang
In this paper, we present and study Petrov-Galerkin and Gauss collocation methods with arbitrary polynomial degree () for one-dimensional elliptic equations. We pr…
math.NA2020★ 1 cited
New Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Problems
Waixiang Cao, Chunmei Wang
This article devises a new primal-dual weak Galerkin finite element method for the convection-diffusion equation. Optimal order error estimates are established for the primal-dual…