3 papers
math.NA2024
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…
math.NA2023
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…
math.NA2023
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…