Abstract
In this paper, the nonconforming virtual element method is used to solve the Stokes problem where the velocity and pressure are allowed to have the low regularity. With the help of an enriching operator, the consistency error is estimated under the low regularity condition. Then the optimal error estimates are obtained for the velocity and pressure approximations, which implies that the nonconforming virtual element method has the good convergence even for the Stokes problem with the low regularity.
Funding Statement
This work was partially supported by National Natural Science Foundation of China (Nos. 11701522 and 11971379) and Natural Science Foundation of Henan Province (No. 222300420553).
Citation
Tongli Wang. Jikun Zhao. "Error Analysis of Nonconforming Virtual Element Method for Stokes Problem with Low Regularity." Taiwanese J. Math. Advance Publication 1 - 17, 2023. https://doi.org/10.11650/tjm/230205
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