5 papers
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…
Superconvergent P1 honeycomb virtual elements and lifted P3 solutions
Yanping Lin, Xuejun Xu, Shangyou Zhang
When solving the Poisson equation on honeycomb hexagonal grids, we show that the virtual element is three-order superconvergent in -norm, and two-order superconvergent i…
Stabilizer-free polygonal and polyhedral virtual elements
Yanping Lin, Mo Mu, Shangyou Zhang
Stabilizer-free virtual elements are constructed on polygonal and polyhedral meshes. Here the interpolating space is the space of continuous polynomials on a triangular…
A family of stabilizer-free virtual elements on triangular meshes
Xuejun Xu, Shangyou Zhang
A family of stabilizer-free virtual elements are constructed on triangular meshes. When choosing an accurate and proper interpolation, the stabilizer of the virtual elements…