This work focuses on the development of a super-penalty strategy based on the \(L^2\)-projection of suitable coupling terms to achieve \(C^1\)-continuity between non-conforming multi-patch isogeometric Kirchhoff plates. In particular, the choice of penalty parameters is driven by the underlying perturbed saddle point problem from which the Lagrange multipliers are eliminated and is performed to guarantee the optimal accuracy of the method. Moreover, by construction, the method does not suffer from boundary locking, especially on very coarse meshes. We demonstrate the applicability of the proposed coupling algorithm to Kirchhoff plates by studying several benchmark examples discretized by non-conforming meshes. In all cases, we recover the optimal rates of convergence achievable by B-splines where we achieve a substantial gain in accuracy per degree-of-freedom compared to other choices of the penalty parameters.

这项工作着重于基于\（L ^ 2 \）-投影的合适耦合项的投影来开发超惩罚策略，以实现\（C ^ 1 \）不合格的多面片等几何Kirchhoff板之间的连续性。特别地，惩罚参数的选择是由潜在的摄动鞍点问题驱动的，该问题被消除了拉格朗日乘数，并且被执行以保证该方法的最佳精度。此外，通过构造，该方法不受边界锁定的困扰，尤其是在非常粗糙的网格上。通过研究由不合格网格离散的几个基准示例，我们证明了所提出的耦合算法在Kirchhoff板上的适用性。在所有情况下，我们都能获得B样条曲线可达到的最佳收敛速度，与其他惩罚参数选择相比，B样条曲线可以显着提高每个自由度的准确度。