- 教授
- 博士生导师
- 硕士生导师
- 电子邮箱：
- 入职时间：1997-07-01
- 学历：博士研究生毕业
- 性别：男
- 学位：博士
- 在职信息：在职
- 毕业院校：西安交通大学
- 所属院系：数学与统计学院
- 学科：数学
A Hybrid High-Order Method for a Class of Quasi-Newtonian Stokes Equations on General Meshes
- 发布时间：2025-04-30
- 论文名称：A Hybrid High-Order Method for a Class of Quasi-Newtonian Stokes Equations on General Meshes
- 发表刊物：Applied Mathematics and Computation
- 摘要：In this paper, we introduce a hybrid high-order (HHO) discrete scheme for numerically solving a class of incompressible quasi-Newtonian
Stokes equations in $ mathbb{R}^2 $. The presented HHO method depends on hybrid discrete velocity unknowns at cells and edges, and pressure unknowns at cells. Benefiting from the hybridization of unknowns, the computation cost can be reduced by the technique of static condensation and the solvability of the static condensation algebra system is proved. Furthermore, we study the HHO scheme by polynomials of arbitrary degrees $ k (kgeq 1) $ on the general meshes and geometries. The unique solvability of the discrete scheme is proved. Additionally, the optimal a priori error estimates for the velocity gradient and pressure approximations are obtained. Finally, we provide several numerical results to verify the good performance of the proposed HHO scheme and confirm the optimal approximation properties on a variety of meshes and geometries. - 合写作者：Yongchao Zhang, Liquan Mei
- 卷号：366（2020）
- 是否译文：否
- 发表时间：2020-02-01
- 合写作者：Yongchao Zhang, Liquan Mei