24 citations · 112 across the 40 of their papers we have counts for
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math.NA2019★ 1 cited
A Primal-dual weak Galerkin finite element method for linear convection equations in non-divergence form
Dan Li, Chunmei Wang, Junping Wang
A new primal-dual weak Galerkin (PD-WG) finite element method was developed and analyzed in this article for first-order linear convection equations in non-divergence form. The PD-…
math.NA2019★ 24 cited
A primal-dual finite element method for first-order transport problems
Chunmei Wang, Junping Wang
This article devises a new numerical method for first-order transport problems by using the primal-dual weak Galerkin (PD-WG) finite element method recently developed in scientific…
math.NA2019★ 5 cited
Low Regularity Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Equations
Chunmei Wang, Ludmil Zikatanov
We propose a numerical method for convection-diffusion problems under low regularity assumptions. We derive the method and analyze it using the primal-dual weak Galerkin (PDWG) fin…