A penalty-FEM for navier-stokes type variational inequality with nonlinear damping term

作者：Qiu, Hailong^*; Zhang, Yongchao; Mei, Liquan; Xue, Changfeng

来源：Numerical Methods for Partial Differential Equations, 2017, 33(3): 918-940.

DOI：10.1002/num.22130

• damping term
• error estimates
• friction type boundary conditions
• Navier-Stokes equations
• penalty method

In this article, we consider a penalty finite element (FE) method for incompressible Navier-Stokes type variational inequality with nonlinear damping term. First, we establish penalty variational formulation and prove the well-posedness and convergence of this problem. Then we show the penalty FE scheme and derive some error estimates. Finally, we give some numerical results to verify the theoretical rate of convergence.

• 出版日期2017-5
• 单位盐城工学院; 西安交通大学