138 citations · 489 across the 39 of their papers we have counts for
42 papers
A Modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes
Chunmei Wang, Xiu Ye, Shangyou Zhang
We introduce a new numerical method for solving time-harmonic Maxwell's equations via the modified weak Galerkin technique. The inter-element functions of the weak Galerkin finite…
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…
A stabilizer free, pressure robust, and superconvergence weak Galerkin finite element method for the Stokes Equations on polytopal mesh
Lin Mu, Xiu Ye, Shangyou Zhang
In this paper, we propose a new stabilizer free and pressure robust WG method for the Stokes equations with super-convergence on polytopal mesh in the primary velocity-pressure for…
A polynomial lifting operator on polygons and polyhedrons
Xiu Ye, Shangyou Zhang
A polynomial lifting operator is defined on polygons and polyhedrons. It lifts discontinuous polynomials inside the polygon/polyhedron and on the faces to a one-piece $P_…
A stabilizer free WG Method for the Stokes Equations with order two superconvergence on polytopal mesh
Xiu Ye, Shangyou Zhang
A stabilizer free WG method is introduced for the Stokes equations with superconvergence on polytopal mesh in primary velocity-pressure formulation. Convergence rates two order hig…
A stabilizer free weak Galerkin finite element method on polytopal mesh: Part III
Xiu Ye, Shangyou Zhang
A weak Galerkin (WG) finite element method without stabilizers was introduced in [J. Comput. Appl. Math., 371 (2020). arXiv:1906.06634] on polytopal mesh. Then it was improved in […