Year: 2022
Author: Yang Li, Chaolang Hu, Minfu Feng
International Journal of Numerical Analysis and Modeling, Vol. 19 (2022), Iss. 5 : pp. 685–708
Abstract
This paper studies the virtual element method for Stokes problem with a least-squares type stabilization. The method cannot only circumvent the Babuška-Brezzi condition, but also make use of general polygonal meshes, as opposed to more standard triangular grids. Moreover, it is suitable for arbitrary combinations of the velocity and pressure, including equal-order virtual element. We obtain the corresponding energy norm error estimates and $L^2$ norm error estimates for velocity. Finally, a series of numerical experiments are performed to verify the method has good behaviors.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2022-IJNAM-20935
International Journal of Numerical Analysis and Modeling, Vol. 19 (2022), Iss. 5 : pp. 685–708
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Virtual element method Stokes problem Least-squares stabilization.