24 citations · 112 across the 40 of their papers we have counts for
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An -primal-dual finite element method for first-order transport problems
Dan Li, Chunmei Wang, Junping Wang
A new -primal-dual weak Galerkin method (-PDWG) with is proposed for the first-order transport problems. The existence and uniqueness of the -PDWG numerical so…
Curved Elements in Weak Galerkin Finite Element Methods
Dan Li, Chunmei Wang, Junping Wang
A mathematical analysis is established for the weak Galerkin finite element methods for the Poisson equation with Dirichlet boundary value when the curved elements are involved on…
Weak Galerkin Finite Element Methods for Quad-Curl Problems
Chunmei Wang, Junping Wang, Shangyou Zhang
This article introduces a weak Galerkin (WG) finite element method for quad-curl problems in three dimensions. It is proved that the proposed WG method is stable and accurate in an…
An Extension of the Morley Element on General Polytopal Partitions Using Weak Galerkin Methods
Dan Li, Chunmei Wang, Junping Wang
This paper introduces an extension of the well-known Morley element for the biharmonic equation, extending its application from triangular elements to general polytopal elements us…
An - Primal-Dual Weak Galerkin method for div-curl Systems
Waixiang Cao, Chunmei Wang, Junping Wang
This paper presents a new -primal-dual weak Galerkin (PDWG) finite element method for the div-curl system with the normal boundary condition for . Two crucial features fo…
A parallel iterative procedure for weak Galerkin methods for second order elliptic problems
Chunmei Wang, Junping Wang, Shangyou Zhang
A parallelizable iterative procedure based on domain decomposition is presented and analyzed for weak Galerkin finite element methods for second order elliptic equations. The conve…