A posteriori error estimates for optimal distributed control governed by the evolution equations
A posteriori error estimates for optimal distributed control governed by the evolution equations
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DOI：
10.1016/j.apnum.2010.09.004
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发表时间：
2011-02
影响因子：
2.8
通讯作者：
C. Xiong;Yuan Li
中科院分区：
文献类型：
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作者：
C. Xiong;Yuan Li
我们描述了一种后验误差估计技术，适用于由直线法求解的演化方程控制的最优控制问题。它适用于由抛物线方程、对流扩散方程和双曲方程控制的控制问题。误差是借助时空圆柱中的 L2 范数结合特殊的时间加权能量范数来测量的。
We describe a technique for a posteriori error estimates suitable to the optimal control problem governed by the evolution equations solved by the method of lines. It is applied to the control problem governed by the parabolic equation, convection-diffusion equation and hyperbolic equation. The error is measured with the aid of the L2-norm in the space–time cylinder combined with a special time weighted energy norm.