3 papers
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…
math.NA2023
On a Sharp Estimate of Overlapping Schwarz Methods in and
Qigang Liang, Xuejun Xu, Shangyou Zhang
The previous proved-bound is for the condition number of the overlapping domain decomposition and …