- 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 Coupled Stokes-Darcy Problem on General Meshes
- 发布时间：2025-04-30
- 论文名称：A Hybrid High-Order Method for a Coupled Stokes-Darcy Problem on General Meshes
- 发表刊物：Journal of Computational Physics
- 摘要：In this work, a hybrid high-order (HHO) method on general meshes is presented to solve a coupled Stokes-Darcy problem with the Beavers-Joseph-Saffman interface condition. Constructed on polynomials of arbitrary degree k ≥ 0, the numerical method is established in terms of discrete unknowns attached to mesh faces and cells (or elements). The unified discrete scheme for Stokes equation and Darcy equation is given by the continuity condition of the interface. The unique solvability of the discrete scheme is proved. Moreover, the energy error estimate for the velocity and L2-error estimate for pressure of order (k + 1) are derived. Finally, a series of numerical experiments are reported to illustrate the accuracy, mass conservation and robustness of our method.
- 合写作者：Yongchao Zhang, Liquan Mei, Rui Li
- 卷号：403
- 页面范围：109064
- 是否译文：否
- 发表时间：2020-02-15
- 合写作者：Yongchao Zhang, Liquan Mei, Rui Li