We revisit the L2 norm error estimate for the C0 interior penalty analysis of fourth order Dirichlet boundary control problem. The L2 norm estimate for the optimal control is derived under reduced regularity assumption and this analysis can be carried out on any convex polygonal domains. Residual based a-posteriori error bounds are derived for optimal control, state and adjoint state variables under minimal regularity assumptions. The estimators are shown to be reliable and locally efficient. The theoretical findings are illustrated by numerical experiments.

翻译：我们重新审视了Drichlet第4级边界控制问题的C0内部刑罚分析的L2规范误差估计值。 L2最佳管制的L2规范估计值是在降低常规性假设下得出的,这种分析可针对任何直角多边形域进行。基于子宫误差的剩余边框是为了在最低常规性假设下实现最佳控制、状态和联合状态变量。估计值被证明是可靠和本地效率的。理论结果通过数字实验加以说明。