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.