A New L^(2)Projection Method for the Oseen Equations  

作　　者：Yanhong Bai Minfu Feng 

机构地区：[1]College of Sciences,and Institute of Nonlinear Dynamics,Southwest Petroleum University,Chengdu,Sichuan 610500,China [2]School of Mathematics,Sichuan University,Chengdu,Sichuan 610064,China

出　　处：《Advances in Applied Mathematics and Mechanics》2017年第6期1420-1437,共18页应用数学与力学进展（英文）

基　　金：This work is supported by NSF of China(Nos.11071184,11271273,11371275,41674141);NSF of Shanxi Province(No.2012011015-6);STIP of Higher Education Institutions in Shanxi(No.20111121);Young Scholars Development Fund of SWPU(No.201599010041);Young Science and Technology Innovation Team of SWPU(No.2015CXTD07);Key Program of SiChuan Provincial Department of Education(No.16ZA0066).

摘　　要：In this paper,a new type of stabilized finite element method is discussed for Oseen equations based on the local L^(2)projection stabilized technique for the velocity field.Velocity and pressure are approximated by two kinds of mixed finite element spaces,P^(2)_( l)-P_(1),(l=1,2).A main advantage of the proposed method lies in that,all the computations are performed at the same element level,without the need of nested meshes or the projection of the gradient of velocity onto a coarse level.Stability and convergence are proved for two kinds of stabilized schemes.Numerical experiments confirm the theoretical results.

关 键 词：Oseen equations L^(2)projection method pressure projection method 

分 类 号：O17[理学—数学]