138 citations · 489 across the 39 of their papers we have counts for
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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 […
A mixed finite element method on polytopal mesh
Yanping Lin, Xiu Ye, Shangyou Zhang
In this paper, we introduce new stable mixed finite elements of any order on polytopal mesh for solving second order elliptic problem. We establish optimal order error estimates fo…
A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II
Xiu Ye, Shangyou Zhang
A stabilizer free weak Galerkin (WG) finite element method on polytopal mesh has been introduced in Part I of this paper (J. Comput. Appl. Math, 371 (2020) 112699. arXiv:1906.06634…