Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints
Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints
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DOI：
10.1051/cocv:2002049
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
E. Casas
中科院分区：
文献类型：
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作者：
E. Casas
本文的目的是得到一些误差估计的数值离散化的半线性椭圆方程的最优控制问题的控制上的限制和一系列的等式和不等式的状态约束。我们证明了最优控制在L ∞范数下的一些误差估计，并且得到了与状态约束相关的拉格朗日乘子以及最优状态和最优伴随状态的误差估计.
The goal of this paper is to derive some error estimates for the numerical discretization of some optimal control problems governed by semilinear elliptic equations with bound constraints on the control and a finitely number of equality and inequality state constraints. We prove some error estimates for the optimal controls in the L ∞ norm and we also obtain error estimates for the Lagrange multipliers associated to the state constraints as well as for the optimal states and optimal adjoint states.