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The parameter identification in the Stokes system with threshold slip boundary conditions
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-02-28 , DOI: 10.1002/zamm.201900209
Jaroslav Haslinger 1 , Raino A. E. Mäkinen 2
Affiliation  

The paper is devoted to an identification of the slip bound function g in the Stokes system with threshold slip boundary conditions assuming that g depends on the tangential velocity u τ . To this end the optimal control approach is used. To remove its nonsmoothness we use a regularized form of the slip conditions in the state problem. The mutual relation between solutions to the original optimization problem and the problems with regularized states is analyzed. The paper is completed by numerical experiments.

中文翻译:

具有阈值滑移边界条件的Stokes系统中的参数识别

本文假设阈值滑移边界条件为g取决于切向速度,从而致力于在Stokes系统中识别滑移边界函数g ü τ 。为此,使用了最佳控制方法。为了消除其不平滑性,我们在状态问题中使用了滑移条件的正规化形式。分析了原始优化问题的解决方案与正则化状态问题之间的相互关系。本文通过数值实验完成。
更新日期:2020-02-28
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