摘要
Although the two-grid finite element decoupled scheme for mixed Navier-Stokes/ Darcy model in literatures has given the numerical results of optimal convergence order, the theoretical analysis only obtain the optimal error order for the porous media flow and a non-optimal error order for the fluid flow. In this article, we give a more rigorous of the error analysis for the fluid flow and obtain the optimal error estimates of the velocity and the pressure.
Although the two-grid finite element decoupled scheme for mixed Navier-Stokes/ Darcy model in literatures has given the numerical results of optimal convergence order, the theoretical analysis only obtain the optimal error order for the porous media flow and a non-optimal error order for the fluid flow. In this article, we give a more rigorous of the error analysis for the fluid flow and obtain the optimal error estimates of the velocity and the pressure.
作者
秦毅
侯延仁
Wi QIN;Wanren HOU(School of Mathematics and Statistics,Xi＇an Jiaotong University,Xi＇an 710049,China)
基金
Subsidized by NSFC(11571274 and 11171269)
the Ph.D.Programs Foundation of Ministry of Education of China(20110201110027)
