3 citations · 4 across the 16 of their papers we have counts for
16 papers
Superconvergent quadriatic finite element on uniform tetrahedral meshes
Yunqing Huang, Shangyou Zhang
By a direct computation, we show that the interpolation of a function is also a local -projection on uniform tetrahedral meshes, i.e., the difference is -orth…
Simplified Weak Galerkin Methods for Linear Elasticity on Nonconvex Domains
Chunmei Wang, Shangyou Zhang
This paper presents a weak Galerkin (WG) finite element method for linear elasticity on general polygonal and polyhedral meshes, free from convexity constraints, by leveraging bubb…
Efficient Weak Galerkin Finite Element Methods for Maxwell Equations on polyhedral Meshes without Convexity Constraints
Chunmei Wang, Shangyou Zhang
This paper presents an efficient weak Galerkin (WG) finite element method with reduced stabilizers for solving the time-harmonic Maxwell equations on both convex and non-convex pol…
A nonconforming P2 and discontinuous P1 mixed finite element on tetrahedral grids
Shangyou Zhang
A nonconforming finite element is constructed by enriching the conforming finite element space with seven nonconforming bubble functions (out of fifteen such bubb…
A nonconforming P3 and discontinuous P2 mixed finite element on tetrahedral grids
Xuejun Xu, Shangyou Zhang
A nonconforming finite element is constructed by enriching the conforming finite element space with three nonconforming bubbles and six additional nonconfor…
Convergent finite elements on arbitrary meshes, the WG method
Ran Zhang, Shangyou Zhang
On meshes with the maximum angle condition violated, the standard conforming, nonconforming, and discontinuous Galerkin finite elements do not converge to the true solution when th…