On Finite Element Error Estimates for Optimal Control Problems with Elliptic PDEs
On Finite Element Error Estimates for Optimal Control Problems with Elliptic PDEs
复制标题
椭圆偏微分方程最优控制问题的有限元误差估计
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
F. Tröltzsch
中科院分区：
文献类型：
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作者：
F. Tröltzsch
本文讨论了椭圆型方程最优控制问题的有限元离散化问题。该问题既有控制约束，也有逐点状态约束。本文还讨论了估计离散化问题的精确最优控制与相应最优控制之间距离的一些技巧。本文给出了空间域上具有多个控制值和状态约束的非线性最优控制问题的误差估计。
Discretizations of optimal control problems for elliptic equations by finite element methods are considered The problems are subject to constraints on the control and may also contain pointwise state constraints Some techniques are surveyed to estimate the distance between the exact optimal control and the associated optimal control of the discretized problem As a particular example, an error estimate for a nonlinear optimal control problem with finitely many control values and state constraints in finitely many points of the spatial domain is derived.