不可压缩流的并行两水平稳定有限元算法  

A Parallel Two-level Stablized Finite Element Algorithm for Incompressible Flows

作　　者：朱家莉 尚月强 ZHU Jiali;SHANG Yueqiang(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《计算物理》2022年第3期309-317,共9页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(11361016)资助项目。

摘　　要：提出一种数值求解定常不可压缩Stokes方程的并行两水平Grad-div稳定有限元算法。首先在粗网格中求解Grad-div稳定化的全局解,再在相互重叠的细网格子区域上并行纠正。通过对稳定化参数、粗细网格尺寸恰当的选取,该方法可得到最优收敛率,数值结果验证了算法的高效性。A parallel two-level Grad-div stabilized finite element algorithm for steady incompressible Stokes equations is proposed. Basic idea of the algorithm is to solve global Grad-div stabilized solution in a coarse mesh firstly, and then correct it in parallel on overlapping fine mesh subdomains. With reasonable selection of stabilization parameters and mesh sizes, an optimal convergence rate can be obtained. Numerical results verify efficiency of the algorithm.

关 键 词：STOKES方程 有限元方法 两水平方法 Grad-div稳定项 并行算法 

分 类 号：O241.82[理学—计算数学]