OPTIMAL ERROR ESTIMATES OF A DECOUPLED SCHEME BASED ON TWO-GRID FINITE ELEMENT FOR MIXED NAVIER-STOKES/DARCY MODEL  

作　　者：Wi QIN Wanren HOU 秦毅;侯延仁(School of Mathematics and Statistics, Xi'an Jiaotong University)

机构地区：School of Mathematics and Statistics,Xi＇an Jiaotong University,Xi＇an 710049,China

出　　处：《Acta Mathematica Scientia》2018年第4期1361-1369,共9页数学物理学报（B辑英文版）

基　　金：Subsidized by NSFC(11571274 and 11171269);the Ph.D.Programs Foundation of Ministry of Education of China(20110201110027)

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.

关 键 词：Navier-Stokes equation Darcy＇s law two-grid method optimal error estimate 

分 类 号：O241.82[理学—计算数学]