Multigrid methods for an elliptic optimal control problem with pointwise state constraints
Multigrid methods for an elliptic optimal control problem with pointwise state constraints
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DOI：
10.1016/j.rinam.2023.100356
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发表时间：
2023-02
影响因子：
2
通讯作者：
S. C. Brenner;Sijing Liu;L. Sung
中科院分区：
文献类型：
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作者：
S. C. Brenner;Sijing Liu;L. Sung
针对一类带逐点状态约束的椭圆分布最优控制问题，设计了多重网格方法。他们是基于P1有限元法从布伦纳等人。（2021），其中最优控制问题被重新表述为状态变量的变分不等式。数值实验表明了多重网格方法的性能。
We design multigrid methods for an elliptic distributed optimal control problem with pointwise state constraints. They are based on the P 1 finite element method from Brenner et al.(2021), where the optimal control problem was reformulated as a variational inequality for the state variable. The performance of the multigrid methods is illustrated by numerical experiments.