The divergence‐free nonconforming virtual element method for the Navier–Stokes problem

Bei Zhang; Jikun Zhao; Meng Li

doi:10.1002/num.22812

journal article Jul 02, 2021

The divergence‐free nonconforming virtual element method for the Navier–Stokes problem

Bei Zhang

Jikun Zhao Meng Li

Numerical Methods for Partial Differential Equations Vol. 39 No. 3 pp. 1977-1995 · Wiley

View at Publisher Save 10.1002/num.22812

Abstract

AbstractWe present the divergence‐free nonconforming virtual element method for the Navier–Stokes problem. By using a gradient projection operator, we construct a nonconforming virtual element that allows us to compute the L2‐projection. The nonconforming virtual element provides the exact divergence‐free approximation to the velocity and is proved to be convergent with the optimal convergence rate. Finally, the numerical results are shown to confirm the convergence of the nonconforming virtual element.

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Metrics

14

Citations

41

References

Details

Published: Jul 02, 2021
Vol/Issue: 39(3)
Pages: 1977-1995
License: View

Authors

B

Bei Zhang

School of Science Henan University of Technology Zhengzhou China

J

Jikun Zhao

School of Mathematics and Statistics Zhengzhou University Zhengzhou China

M

Meng Li

School of Mathematics and Statistics Zhengzhou University Zhengzhou China

Funding

National Natural Science Foundation of China Award: 11701522

Cite This Article

Bei Zhang, Jikun Zhao, Meng Li (2021). The divergence‐free nonconforming virtual element method for the Navier–Stokes problem. Numerical Methods for Partial Differential Equations, 39(3), 1977-1995. https://doi.org/10.1002/num.22812

The divergence‐free nonconforming virtual element method for the Navier–Stokes problem

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