Oseen方程的一种新的局部投影稳定化方法  

A New Nonconforming Local Projection Stabilization for Generalized Oseen Equations

作　　者：白艳红[1] 冯民富[2] 王川龙[1] 

机构地区：[1]太原师范学院数学系,太原030012 [2]四川大学数学学院,成都610064

出　　处：《应用数学和力学》2010年第11期1360-1371,共12页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(11071184);四川省科技攻关课题资助项目(05GG006-006-2)

摘　　要：对Oseen方程提出一种新的局部投影稳定化有限元方法,并且速度和压力采用inf-sup稳定的非协调有限元空间逼近.局部投影稳定化项仅加在子网格上(H≥h);与RFB方法相比,该方法稳定性项简单,并且可以克服对流占优.最后,通过实验证明,数值结果和理论结果完全一致.A new method of nonconforming local projection stabilization for the generalized Oseen equations was proposed by a nonconforming inf-sup stable element pair for approximating the velocity and pressure.The method has several attractive feature.It adds an local projection term only on the sub-scale（H ≥h）.The stabilized term is simple compared with the residual-free bubble element method can handle the influence of strong convection.The numerical illustrations agree with the theoretical expectation very well.

关 键 词：Oseen方程 局部投影稳定化方法 CROUZEIX-RAVIART元 

分 类 号：O241.82[理学—计算数学]