A modified local and parallel finite element method for the mixed Stokes-Darcy model

作者：Du, Guangzhi; Hou, Yanten^*; Zuo, Liyun

来源：Journal of Mathematical Analysis and Applications, 2016, 435(2): 1129-1145.

DOI：10.1016/j.jmaa.2015.11.003

• Stokes equations
• Darcy's law
• Decoupling
• Two-grid algorithm
• Parallel finite element method

Based on two-grid discretizations, a modified local and parallel finite element algorithm for the mixed Stokes-Darcy problem is proposed and analyzed in this paper. The idea is that, on the coarse grid, we solve a coupled Stokes-Darcy problem; on the fine grid, we first consider the discrete Darcy problem with a coarse grid approximation u(H) to the interface coupling conditions, then solve a series of independent local Stokes subproblems with the numerical solution of Darcy problem on fine grid to the interface coupling conditions in parallel. Optimal error estimates are obtained, and numerical experiments demonstrate the accuracy and efficiency of the modified local and parallel algorithm.

• 出版日期2016-3-15
• 单位西安交通大学