We present two new recovery-based a posteriori error estimates for the Hellan–Herrmann–Johnson method in Kirchhoff–Love plate theory. The first error estimator uses a postprocessed deflection and controls the \(L^2\) moment error and the discrete \(H^2\) deflection error. The second one controls the \(L^2\times H^1\) total error and utilizes superconvergent postprocessed moment field and deflection. The effectiveness of the theoretical results is numerically validated in several experiments.

中文翻译：

---

基于恢复的板弯曲问题的后验误差分析

我们为 Kirchhoff-Love 板理论中的 Hellan-Herrmann-Johnson 方法提出了两个新的基于恢复的后验误差估计。第一个误差估计器使用后处理偏转并控制\(L^2\)力矩误差和离散\(H^2\)偏转误差。第二个控制\(L^2\times H^1\)总误差并利用超收敛的后处理矩场和偏转。理论结果的有效性在几个实验中得到了数值验证。