In this paper, a weak Galerkin finite element method for solving the time fractional reaction-
convection diffusion problem is proposed. We use the well known L 1 discretization in time …

This paper adapts the weak Galerkin (WG) finite element scheme to Maxwell's equations in
the time domain. Developed by Wang and Ye in 2011, the WG scheme is a discontinuous …

In this paper, we propose and analyze a weak Galerkin finite element method for the Navier–
Stokes equations. The new formulation hinges upon the introduction of weak gradient, weak …

This paper presents a comparative study on the newly introduced weak Galerkin finite
element methods (WGFEMs) with the widely accepted discontinuous Galerkin finite element …

In this paper, a weak Galerkin finite element method for the Oseen equations of
incompressible fluid flow is proposed and investigated. This method is based on weak …

The authors propose and analyze a well-posed numerical scheme for a type of ill-posed
elliptic Cauchy problem by using a constrained minimization approach combined with the …

This paper presents a primal-dual weak Galerkin finite element method for a class of second
order elliptic equations of Fokker--Planck type. The method is based on a variational form …

In this article, we extend the recently developed weak Galerkin method to solve the second‐
order hyperbolic wave equation. Many nice features of the weak Galerkin method have been …

The lowest-order weak Galerkin (WG) method is considered for linear elasticity based on the
displacement formulation. The new method approximates the displacement using piecewise …

In this article, we consider a weak Galerkin finite element method (WG-FEM) for solving one
type of viscoelastic wave equation. A discrete weak gradient operator on discontinuous …