黏弹性流体流动的混合有限元方法

Mixed Finite Element of Viscoelastic Fluid Flow

对遵循O ldroyd B型微分模型的黏弹性问题,提出一种相容稳定的混合有限元方法.针对黏弹性流体流动问题研究k阶(k≥1)有限元空间逼近,即pk不连续应力,pk+1连续速度,pk连续压力的情形,并对解的存在性、稳定性和收敛性进行了分析.

For the viscoelastic fluid flow obeying an Oldroyd B type constitutive law, we put forward a compatible and stable mixed finite element method. As for the viscoelastic fluid flow problem, we study finite element space approximation of degree k. At the same time, we discuss the existence, uniqueness and convergence of the solutions.