Xuejun Xu

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math.NA2023

A family of stabilizer-free virtual elements on triangular meshes

Xuejun Xu, Shangyou Zhang

A family of stabilizer-free $P_{k}$ 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 $H (curl; Ω)$ and $H (div; Ω)$

Qigang Liang, Xuejun Xu, Shangyou Zhang

The previous proved-bound is $C (1 + \frac{H ^{2}}{δ ^{2}})$ for the condition number of the overlapping domain decomposition $H (curl; Ω)$ and $H (div; Ω)$ …

A family of stabilizer-free virtual elements on triangular meshes

On a Sharp Estimate of Overlapping Schwarz Methods in H(curl;Ω) and H(div;Ω)

On a Sharp Estimate of Overlapping Schwarz Methods in $H (curl; Ω)$ and $H (div; Ω)$