Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment
Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment
复制标题
状态约束椭圆控制问题中的 Moreau-Yosida 正则化：误差估计和参数调整
DOI：
10.1137/080718735
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
M. Hinze
中科院分区：
文献类型：
--
作者：
M. Hintermüller;M. Hinze
介绍了基于 Moreau-Yosida 的正则化或松弛方法的正则化参数的调整方案，该方法用于点状状态约束椭圆最优控制问题的数值求解。该方法利用正则化问题的相关有限元离散化的误差估计来根据离散化的网格尺寸来最佳选择正则化参数以及由于正则化而导致的近似误差的误差估计。理论结果得到了数值验证。
An adjustment scheme for the regularization parameter of a Moreau-Yosida-based regularization, or relaxation, approach to the numerical solution of pointwise state constrained elliptic optimal control problems is introduced. The method utilizes error estimates of an associated finite element discretization of the regularized problems for the optimal selection of the regularization parameter in dependence on the mesh size of discretization and error estimates for the approximation error due to regularization. The theoretical results are verified numerically.