On the control of time discretized dynamic contact problems

被引：0
作者：
Georg Müller
Anton Schiela
机构：
[1] University of Bayreuth,Chair of Applied Mathematics
来源：
Computational Optimization and Applications | 2017年 / 68卷
关键词：
Dynamic contact; Optimal control; Strong stationarity; Time discretization; 49J20; 49K20; 65K15; 74H15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider optimal control problems with distributed control that involve a time-stepping formulation of dynamic one body contact problems as constraints. We link the continuous and the time-stepping formulation by a nonconforming finite element discretization and derive existence of optimal solutions and strong stationarity conditions. We use this information for a steepest descent type optimization scheme based on the resulting adjoint scheme and implement its numerical application.
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页码：243 / 287
页数：44
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