A penalty‐FEM for navier‐stokes type variational inequality with nonlinear damping term |
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| Authors: | Hailong Qiu Yongchao Zhang Liquan Mei Changfeng Xue |
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| Institution: | 1. School of Mathematics and Physics, Yancheng Institute of Technology, Yancheng, China;2. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China |
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| Abstract: | 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. © 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 918–940, 2017 |
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| Keywords: | damping term error estimates friction type boundary conditions Navier‐Stokes equations penalty method |
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