论文标题
用于$ c^1 $ - 偶联的多块iSOODEOMETRIC KIRCHHOFF PLATES的预计超质量方法
A projected super-penalty method for the $C^1$-coupling of multi-patch isogeometric Kirchhoff plates
论文作者
论文摘要
这项工作着重于基于合适的耦合术语的$ l^2 $投影的超质量策略的制定，以实现不合格的多尺寸iSOODEGENEDISOEDEGENEDISOGAFFINIC KIRCHHOFF PLATES之间的$ C^1 $接收性。特别是，惩罚参数的选择是由消除拉格朗日乘数从中驱动的鞍点问题驱动的，并执行以确保该方法的最佳准确性。此外，通过构造，该方法也不会在非常粗的网眼上锁定。我们通过研究通过不合格网格离散的几个基准示例来证明所提出的耦合算法对Kirchhoff板的适用性。在所有情况下，与其他选择相比，我们恢复了通过B型平台可实现的最佳收敛速率，即我们在每次自由度的准确性上获得可观的准确性提高。
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 locking also 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.
