138 citations · 489 across the 39 of their papers we have counts for
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Stabilizer-Free Weak Galerkin Methods for Monotone Quasilinear Elliptic PDEs
Xiu Ye, Shangyou Zhang, Yunrong Zhu
In this paper, we study the stabilizer-free weak Galerkin methods on polytopal meshes for a class of second order elliptic boundary value problems of divergence form and with gradi…
A conforming DG method for the biharmonic equation on polytopal meshes
Xiu Ye, Shangyou Zhang
A conforming discontinuous Galerkin finite element method is introduced for solving the biharmonic equation. This method, by its name, uses discontinuous approximations and keeps s…
A stabilizer free weak Galerkin method for the Biharmonic Equation on Polytopal Meshes
Xiu Ye, Shangyou Zhang
A new stabilizer free weak Galerkin (WG) method is introduced and analyzed for the biharmonic equation. Stabilizing/penalty terms are often necessary in the finite element formulat…
On stabilizer-free weak Galerkin finite element methods on polytopal meshes
Xiu Ye, Shangyou Zhang
A stabilizing/penalty term is often used in finite element methods with discontinuous approximations to enforce connection of discontinuous functions across element boundaries. Rem…
A conforming discontinuous Galerkin finite element method: Part II
Xiu Ye, Shangyou Zhang
A conforming discontinuous Galerkin (DG) finite element method has been introduced in [21] on simplicial meshes, which has the flexibility of using discontinuous approximation and…
A conforming discontinuous Galerkin finite element method
Xiu Ye, Shangyou Zhang
A new finite element method with discontinuous approximation is introduced for solving second order elliptic problem. Since this method combines the features of both conforming fin…