4 citations · 7 across the 10 of their papers we have counts for
11 papers
Weak Galerkin methods for elliptic interface problems on curved polygonal partitions
Dan Li, Chunmei Wang, Shangyou Zhang
This paper presents a new weak Galerkin (WG) method for elliptic interface problems on general curved polygonal partitions. The method's key innovation lies in its ability to trans…
High Order Morley Elements for Biharmonic Equations on Polytopal Partitions
Dan Li, Chunmei Wang, Junping Wang +1
This paper introduces an extension of the Morley element for approximating solutions to biharmonic equations. Traditionally limited to piecewise quadratic polynomials on triangular…
Generalized weak Galerkin finite element methods for second order elliptic problems
Dan Li, Chunmei Wang, Junping Wang +1
This article proposes and analyzes the generalized weak Galerkin ({\rm g}WG) finite element method for the second order elliptic problem. A generalized discrete weak gradient opera…
Generalized Weak Galerkin Finite Element Methods for Biharmonic Equations
Dan Li, Chunmei Wang, Junping Wang
The generalized weak Galerkin (gWG) finite element method is proposed and analyzed for the biharmonic equation. A new generalized discrete weak second order partial derivative is i…
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…
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…
A simplified primal-dual weak Galerkin finite element method for Fokker-Planck type equations
Dan Li, Chunmei Wang
A simplified primal-dual weak Galerkin (S-PDWG) finite element method is designed for the Fokker-Planck type equation with non-smooth diffusion tensor and drift vector. The discret…
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-…
Superconvergence of Numerical Gradient for Weak Galerkin Finite Element Methods on Nonuniform Cartesian Partitions in Three Dimensions
Dan Li, Yufeng Nie, Chunmei Wang
A superconvergence error estimate for the gradient approximation of the second order elliptic problem in three dimensions is analyzed by using weak Galerkin finite element scheme o…
Superconvergence of the Gradient Approximation for Weak Galerkin Finite Element Methods on Nonuniform Rectangular Partitions
Dan Li, Chunmei Wang, Junping Wang
This article presents a superconvergence for the gradient approximation of the second order elliptic equation discretized by the weak Galerkin finite element methods on nonuniform…